Project acronym ADEQUATE
Project Advanced optoelectronic Devices with Enhanced QUAntum efficiency at THz frEquencies
Researcher (PI) Carlo Sirtori
Host Institution (HI) UNIVERSITE PARIS DIDEROT - PARIS 7
Call Details Advanced Grant (AdG), PE3, ERC-2009-AdG
Summary The aim of this project is the realisation of efficient mid-infrared and THz optoelectronic emitters. This work is motivated by the fact that the spontaneous emission in this frequency range is characterized by an extremely long lifetime when compared to non-radiative processes, giving rise to devices with very low quantum efficiency. To this end we want to develop hybrid light-matter systems, already well known in quantum optics, within optoelectronics devices, that will be driven by electrical injection. With this project we want to extend the field of optoelectronics by introducing some of the concepts of quantum optic, particularly the light-matter strong coupling, into semiconductor devices. More precisely this project aims at the implementation of novel optoelectronic emitters operating in the strong coupling regime between an intersubband excitation of a two-dimensional electron gas and a microcavity photonic mode. The quasiparticles issued from this coupling are called intersubband polaritons. The major difficulties and challenges of this project, do not lay in the observation of these quantum effects, but in their exploitation for a specific function, in particular an efficient electrical to optical conversion. To obtain efficient quantum emitters in the THz frequency range we will follow two different approaches: - In the first case we will try to exploit the additional characteristic time of the system introduced by the light-matter interaction in the strong (or ultra-strong) coupling regime. - The second approach will exploit the fact that, under certain conditions, intersubband polaritons have a bosonic character; as a consequence they can undergo stimulated scattering, giving rise to polaritons lasers as it has been shown for excitonic polaritons.
Summary
The aim of this project is the realisation of efficient mid-infrared and THz optoelectronic emitters. This work is motivated by the fact that the spontaneous emission in this frequency range is characterized by an extremely long lifetime when compared to non-radiative processes, giving rise to devices with very low quantum efficiency. To this end we want to develop hybrid light-matter systems, already well known in quantum optics, within optoelectronics devices, that will be driven by electrical injection. With this project we want to extend the field of optoelectronics by introducing some of the concepts of quantum optic, particularly the light-matter strong coupling, into semiconductor devices. More precisely this project aims at the implementation of novel optoelectronic emitters operating in the strong coupling regime between an intersubband excitation of a two-dimensional electron gas and a microcavity photonic mode. The quasiparticles issued from this coupling are called intersubband polaritons. The major difficulties and challenges of this project, do not lay in the observation of these quantum effects, but in their exploitation for a specific function, in particular an efficient electrical to optical conversion. To obtain efficient quantum emitters in the THz frequency range we will follow two different approaches: - In the first case we will try to exploit the additional characteristic time of the system introduced by the light-matter interaction in the strong (or ultra-strong) coupling regime. - The second approach will exploit the fact that, under certain conditions, intersubband polaritons have a bosonic character; as a consequence they can undergo stimulated scattering, giving rise to polaritons lasers as it has been shown for excitonic polaritons.
Max ERC Funding
1 761 000 €
Duration
Start date: 2010-05-01, End date: 2015-04-30
Project acronym ANTIVIRALRNAI
Project RNAi-mediated viral immunity in insects
Researcher (PI) Maria-Carla Saleh
Host Institution (HI) INSTITUT PASTEUR
Call Details Starting Grant (StG), LS6, ERC-2009-StG
Summary RNA interference (RNAi) is a conserved sequence-specific, gene-silencing mechanism that is induced by double-stranded RNA (dsRNA). One of the functions of this pathway is the defense against parasitic nucleic acids: transposons and viruses. Previous results demonstrated that viral infections in Drosophila melanogaster are fought by an antiviral RNAi response and that components of the endocytic pathway are required for dsRNA entry to initiate the RNAi response. Recently we have shown that infected insect cells spread a systemic silencing signal that elicits a protective RNAi-dependent immunity throughout the organism. This suggests that the cell-autonomous RNAi response is insufficient to control a viral infection and that flies also rely on systemic immune response to fight against such infections. As a junior group leader, I will study the mechanisms that mediate the RNAi-based antiviral response in insects. By combining biochemical, cellular, molecular and genomic approaches, both in vivo and in cell culture, I will analyze the mechanisms underlying viral tropism, systemic propagation of the antiviral signal and the basis of the persistence of the antiviral state. Furthermore, I will examine whether the dsRNA-uptake pathway is conserved in mosquitoes and its relationship with viral immunity in that host. This comprehensive approach will tackle how this nucleic acid-based immunity works in insects to generate an anti-viral stage. A better understanding of the role of RNA silencing in insects during virus infection will allow the exploitation of this pathway for improvement of public health related problems such as arbovirus infection and disease.
Summary
RNA interference (RNAi) is a conserved sequence-specific, gene-silencing mechanism that is induced by double-stranded RNA (dsRNA). One of the functions of this pathway is the defense against parasitic nucleic acids: transposons and viruses. Previous results demonstrated that viral infections in Drosophila melanogaster are fought by an antiviral RNAi response and that components of the endocytic pathway are required for dsRNA entry to initiate the RNAi response. Recently we have shown that infected insect cells spread a systemic silencing signal that elicits a protective RNAi-dependent immunity throughout the organism. This suggests that the cell-autonomous RNAi response is insufficient to control a viral infection and that flies also rely on systemic immune response to fight against such infections. As a junior group leader, I will study the mechanisms that mediate the RNAi-based antiviral response in insects. By combining biochemical, cellular, molecular and genomic approaches, both in vivo and in cell culture, I will analyze the mechanisms underlying viral tropism, systemic propagation of the antiviral signal and the basis of the persistence of the antiviral state. Furthermore, I will examine whether the dsRNA-uptake pathway is conserved in mosquitoes and its relationship with viral immunity in that host. This comprehensive approach will tackle how this nucleic acid-based immunity works in insects to generate an anti-viral stage. A better understanding of the role of RNA silencing in insects during virus infection will allow the exploitation of this pathway for improvement of public health related problems such as arbovirus infection and disease.
Max ERC Funding
1 900 000 €
Duration
Start date: 2009-10-01, End date: 2014-12-31
Project acronym ARENA
Project Arrays of entangled atoms
Researcher (PI) Antoine Browaeys
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Starting Grant (StG), PE2, ERC-2009-StG
Summary The goal of this project is to prepare in a deterministic way, and then to characterize, various entangled states of up to 25 individual atoms held in an array of optical tweezers. Such a system provides a new arena to explore quantum entangled states of a large number of particles. Entanglement is the existence of quantum correlations between different parts of a system, and it is recognized as an essential property that distinguishes the quantum and the classical worlds. It is also a resource in various areas of physics, such as quantum information processing, quantum metrology, correlated quantum systems and quantum simulation. In the proposed design, each site is individually addressable, which enables single atom manipulation and detection. This will provide the largest entangled state ever produced and fully characterized at the individual particle level. The experiment will be implemented by combining two crucial novel features, that I was able to demonstrate very recently: first, the manipulation of quantum bits written on long-lived hyperfine ground states of single ultra-cold atoms trapped in microscopic optical tweezers; second, the generation of entanglement by using the strong long-range interactions between Rydberg states. These interactions lead to the so-called dipole blockade , and enable the preparation of various classes of entangled states, such as states carrying only one excitation (W states), and states analogous to Schrödinger s cats (GHZ states). Finally, I will also explore strategies to protect these states against decoherence, developed in the framework of fault-tolerant and topological quantum computing. This project therefore combines an experimental challenge and the exploration of entanglement in a mesoscopic system.
Summary
The goal of this project is to prepare in a deterministic way, and then to characterize, various entangled states of up to 25 individual atoms held in an array of optical tweezers. Such a system provides a new arena to explore quantum entangled states of a large number of particles. Entanglement is the existence of quantum correlations between different parts of a system, and it is recognized as an essential property that distinguishes the quantum and the classical worlds. It is also a resource in various areas of physics, such as quantum information processing, quantum metrology, correlated quantum systems and quantum simulation. In the proposed design, each site is individually addressable, which enables single atom manipulation and detection. This will provide the largest entangled state ever produced and fully characterized at the individual particle level. The experiment will be implemented by combining two crucial novel features, that I was able to demonstrate very recently: first, the manipulation of quantum bits written on long-lived hyperfine ground states of single ultra-cold atoms trapped in microscopic optical tweezers; second, the generation of entanglement by using the strong long-range interactions between Rydberg states. These interactions lead to the so-called dipole blockade , and enable the preparation of various classes of entangled states, such as states carrying only one excitation (W states), and states analogous to Schrödinger s cats (GHZ states). Finally, I will also explore strategies to protect these states against decoherence, developed in the framework of fault-tolerant and topological quantum computing. This project therefore combines an experimental challenge and the exploration of entanglement in a mesoscopic system.
Max ERC Funding
1 449 600 €
Duration
Start date: 2009-12-01, End date: 2014-11-30
Project acronym ATMOFLEX
Project Turbulent Transport in the Atmosphere: Fluctuations and Extreme Events
Researcher (PI) Jérémie Bec
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Starting Grant (StG), PE3, ERC-2009-StG
Summary A major part of the physical and chemical processes occurring in the atmosphere involves the turbulent transport of tiny particles. Current studies and models use a formulation in terms of mean fields, where the strong variations in the dynamical and statistical properties of the particles are neglected and where the underlying fluctuations of the fluid flow velocity are oversimplified. Devising an accurate understanding of the influence of air turbulence and of the extreme fluctuations that it generates in the dispersed phase remains a challenging issue. This project aims at coordinating and integrating theoretical, numerical, experimental, and observational efforts to develop a new statistical understanding of the role of fluctuations in atmospheric transport processes. The proposed work will cover individual as well as collective behaviors and will provide a systematic and unified description of targeted specific processes involving suspended drops or particles: the dispersion of pollutants from a source, the growth by condensation and coagulation of droplets and ice crystals in clouds, the scavenging, settling and re-suspension of aerosols, and the radiative and climatic effects of particles. The proposed approach is based on the use of tools borrowed from statistical physics and field theory, and from the theory of large deviations and of random dynamical systems in order to design new observables that will be simultaneously tractable analytically in simplified models and of relevance for the quantitative handling of such physical mechanisms. One of the outcomes will be to provide a new framework for improving and refining the methods used in meteorology and atmospheric sciences and to answer the long-standing question of the effects of suspended particles onto climate.
Summary
A major part of the physical and chemical processes occurring in the atmosphere involves the turbulent transport of tiny particles. Current studies and models use a formulation in terms of mean fields, where the strong variations in the dynamical and statistical properties of the particles are neglected and where the underlying fluctuations of the fluid flow velocity are oversimplified. Devising an accurate understanding of the influence of air turbulence and of the extreme fluctuations that it generates in the dispersed phase remains a challenging issue. This project aims at coordinating and integrating theoretical, numerical, experimental, and observational efforts to develop a new statistical understanding of the role of fluctuations in atmospheric transport processes. The proposed work will cover individual as well as collective behaviors and will provide a systematic and unified description of targeted specific processes involving suspended drops or particles: the dispersion of pollutants from a source, the growth by condensation and coagulation of droplets and ice crystals in clouds, the scavenging, settling and re-suspension of aerosols, and the radiative and climatic effects of particles. The proposed approach is based on the use of tools borrowed from statistical physics and field theory, and from the theory of large deviations and of random dynamical systems in order to design new observables that will be simultaneously tractable analytically in simplified models and of relevance for the quantitative handling of such physical mechanisms. One of the outcomes will be to provide a new framework for improving and refining the methods used in meteorology and atmospheric sciences and to answer the long-standing question of the effects of suspended particles onto climate.
Max ERC Funding
1 200 000 €
Duration
Start date: 2009-11-01, End date: 2014-10-31
Project acronym ATOMAG
Project From Attosecond Magnetism towards Ultrafast Spin Photonics
Researcher (PI) Jean-Yves Bigot
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Advanced Grant (AdG), PE3, ERC-2009-AdG
Summary We propose to investigate a new frontier in Physics: the study of Magnetic systems using attosecond laser pulses. The main disciplines concerned are: Ultrafast laser sciences, Magnetism and Spin-Photonics, Relativistic Quantum Electrodynamics. Three issues of modern magnetism are addressed. 1. How fast can one modify and control the magnetization of a magnetic system ? 2. What is the role and essence of the coherent interaction between light and spins ? 3. How far spin-photonics can bring us to the real world of data acquisition and storage ? - We want first to provide solid ground experiments, unravelling the mechanisms involved in the demagnetization induced by laser pulses in a variety of magnetic materials (ferromagnetic nanostructures, aggregates and molecular magnets). We will explore the ultrafast magnetization dynamics of magnets using an attosecond laser source. - Second we want to explore how the photon field interacts with the spins. We will investigate the dynamical regime when the potential of the atoms is dressed by the Coulomb potential induced by the laser field. A strong support from the relativistic Quantum Electro-Dynamics is necessary towards that goal. - Third, even though our general approach is fundamental, we want to provide a benchmark of what is realistically possible in ultrafast spin-photonics, breaking the conventional thought that spin photonics is hard to implement at the application level. We will realize ultimate devices combining magneto-optical microscopy with the conventional magnetic recording. This new field will raise the interest of a number of competitive laboratories at the international level. Due to the overlapping disciplines the project also carries a large amount of educational impact both fundamental and applied.
Summary
We propose to investigate a new frontier in Physics: the study of Magnetic systems using attosecond laser pulses. The main disciplines concerned are: Ultrafast laser sciences, Magnetism and Spin-Photonics, Relativistic Quantum Electrodynamics. Three issues of modern magnetism are addressed. 1. How fast can one modify and control the magnetization of a magnetic system ? 2. What is the role and essence of the coherent interaction between light and spins ? 3. How far spin-photonics can bring us to the real world of data acquisition and storage ? - We want first to provide solid ground experiments, unravelling the mechanisms involved in the demagnetization induced by laser pulses in a variety of magnetic materials (ferromagnetic nanostructures, aggregates and molecular magnets). We will explore the ultrafast magnetization dynamics of magnets using an attosecond laser source. - Second we want to explore how the photon field interacts with the spins. We will investigate the dynamical regime when the potential of the atoms is dressed by the Coulomb potential induced by the laser field. A strong support from the relativistic Quantum Electro-Dynamics is necessary towards that goal. - Third, even though our general approach is fundamental, we want to provide a benchmark of what is realistically possible in ultrafast spin-photonics, breaking the conventional thought that spin photonics is hard to implement at the application level. We will realize ultimate devices combining magneto-optical microscopy with the conventional magnetic recording. This new field will raise the interest of a number of competitive laboratories at the international level. Due to the overlapping disciplines the project also carries a large amount of educational impact both fundamental and applied.
Max ERC Funding
2 492 561 €
Duration
Start date: 2010-05-01, End date: 2015-04-30
Project acronym BODYBUILT
Project Building The Vertebrate Body
Researcher (PI) Olivier Pourquie
Host Institution (HI) CENTRE EUROPEEN DE RECHERCHE EN BIOLOGIE ET MEDECINE
Call Details Advanced Grant (AdG), LS3, ERC-2009-AdG
Summary My lab is interested in the development of the tissue that gives rise to vertebrae and skeletal muscles called the paraxial mesoderm. A striking feature of this tissue is its segmental organization and we have made major contributions to the understanding of the molecular control of the segmentation process. We identified a molecular oscillator associated to the rhythmic production of somites and proposed a model for vertebrate segmentation based on the integration of a rhythmic signaling pulse gated spatially by a system of traveling FGF and Wnt signaling gradients. We are also studying the differentiation of paraxial mesoderm precursors into the muscle, cartilage and dermis lineages. Our work identified the Wnt, FGF and Notch pathways as playing a prominent role in the patterning and differentiation of paraxial mesoderm. In this application, we largely focus on the molecular control of paraxial mesoderm development. Using microarray and high throughput sequencing-based approaches and bioinformatics, we will characterize the transcriptional network acting downstream of Wnt, FGF and Notch in the presomitic mesoderm (PSM). We will also use genetic and pharmacological approaches utilizing real-time imaging reporters to characterize the pacemaker of the segmentation clock in vivo, and also in vitro using differentiated embryonic stem cells. We further propose to characterize in detail a novel RA-dependent pathway that we identified and which controls the somite left-right symmetry. Our work is expected to have a strong impact in the field of congenital spine anomalies, currently an understudied biomedical problem, and will be of utility in elucidating the etiology and eventual prevention of these disorders. This work is also expected to further our understanding of the Notch, Wnt, FGF and RA signalling pathways which are involved in segmentation and in the establishment of the vertebrate body plan, and which play important roles in a wide array of human diseases.
Summary
My lab is interested in the development of the tissue that gives rise to vertebrae and skeletal muscles called the paraxial mesoderm. A striking feature of this tissue is its segmental organization and we have made major contributions to the understanding of the molecular control of the segmentation process. We identified a molecular oscillator associated to the rhythmic production of somites and proposed a model for vertebrate segmentation based on the integration of a rhythmic signaling pulse gated spatially by a system of traveling FGF and Wnt signaling gradients. We are also studying the differentiation of paraxial mesoderm precursors into the muscle, cartilage and dermis lineages. Our work identified the Wnt, FGF and Notch pathways as playing a prominent role in the patterning and differentiation of paraxial mesoderm. In this application, we largely focus on the molecular control of paraxial mesoderm development. Using microarray and high throughput sequencing-based approaches and bioinformatics, we will characterize the transcriptional network acting downstream of Wnt, FGF and Notch in the presomitic mesoderm (PSM). We will also use genetic and pharmacological approaches utilizing real-time imaging reporters to characterize the pacemaker of the segmentation clock in vivo, and also in vitro using differentiated embryonic stem cells. We further propose to characterize in detail a novel RA-dependent pathway that we identified and which controls the somite left-right symmetry. Our work is expected to have a strong impact in the field of congenital spine anomalies, currently an understudied biomedical problem, and will be of utility in elucidating the etiology and eventual prevention of these disorders. This work is also expected to further our understanding of the Notch, Wnt, FGF and RA signalling pathways which are involved in segmentation and in the establishment of the vertebrate body plan, and which play important roles in a wide array of human diseases.
Max ERC Funding
2 500 000 €
Duration
Start date: 2010-04-01, End date: 2015-03-31
Project acronym CENTROSTEMCANCER
Project Investigating the link between centrosomes, stem cells and cancer
Researcher (PI) Renata Homem De Gouveia Xavier De Basto
Host Institution (HI) INSTITUT CURIE
Call Details Starting Grant (StG), LS3, ERC-2009-StG
Summary Centrosomes are cytoplasmic organelles found in most animal cells with important roles in polarity establishment and maintenance. Theodor Boveri s pioneering work first suggested that extra-centrosomes could contribute to genetic instability and consequently to tumourigenesis. Although many human tumours do exhibit centrosome amplification (extra centrosomes) or centrosome abnormalities, the exact contribution of centrosomes to tumour initiation in vertebrate organisms remains to be determined. I have recently showed that Drosophila flies carrying extra-centrosomes, following the over-expression of the centriole replication kinase Sak, did not exhibit chromosome segregation errors and were able to maintain a stable diploid genome over many generations. Surprisingly, however, neural stem cells fail frequently to align the mitotic spindle with their polarity axis during asymmetric division. Moreover, I have found that centrosome amplification is permissive to tumour formation in flies. So far, however, we do not know the molecular mechanisms that allow transformation when extra centrosomes are present and elucidating these mechanisms is the aim of the work presented in this proposal. Here, I describe a series of complementary approaches that will help us to decipher the link between centrosomes, stem cells and tumour biology. In addition, I wish to pursue the original observations made in Drosophila and investigate the consequences of centrosome amplification in mammals.
Summary
Centrosomes are cytoplasmic organelles found in most animal cells with important roles in polarity establishment and maintenance. Theodor Boveri s pioneering work first suggested that extra-centrosomes could contribute to genetic instability and consequently to tumourigenesis. Although many human tumours do exhibit centrosome amplification (extra centrosomes) or centrosome abnormalities, the exact contribution of centrosomes to tumour initiation in vertebrate organisms remains to be determined. I have recently showed that Drosophila flies carrying extra-centrosomes, following the over-expression of the centriole replication kinase Sak, did not exhibit chromosome segregation errors and were able to maintain a stable diploid genome over many generations. Surprisingly, however, neural stem cells fail frequently to align the mitotic spindle with their polarity axis during asymmetric division. Moreover, I have found that centrosome amplification is permissive to tumour formation in flies. So far, however, we do not know the molecular mechanisms that allow transformation when extra centrosomes are present and elucidating these mechanisms is the aim of the work presented in this proposal. Here, I describe a series of complementary approaches that will help us to decipher the link between centrosomes, stem cells and tumour biology. In addition, I wish to pursue the original observations made in Drosophila and investigate the consequences of centrosome amplification in mammals.
Max ERC Funding
1 550 000 €
Duration
Start date: 2010-01-01, End date: 2015-06-30
Project acronym COGNITION
Project Cognition and Decision-Making: Laws, Norms and Contracts
Researcher (PI) Jean Tirole
Host Institution (HI) FONDATION JEAN-JACQUES LAFFONT,TOULOUSE SCIENCES ECONOMIQUES
Call Details Advanced Grant (AdG), SH1, ERC-2009-AdG
Summary The application's unifying theme is cognition. Any decision reflects the information that comes to the decision-maker's awareness at the moment of making the decision. In turn, this information is the stochastic outcome of a sequence of more or less conscious choices and of awareness manipulation by third parties. The three parts of this application all are concerned with two factors of limited awareness (cognitive costs and motivated beliefs) and with the application of imperfect cognition to economics. The various projects can be subsumed into three themes, each with different subprojects: 1. Self-serving beliefs, laws, norms and taboos (expressive function of the law, taboos, dignity and contracts). 2. Cognition, markets, and contracts (mechanism design under costly cognition, directing attention in markets and politics). 3. Cognition and individual decision-making (foundations of some non-standard preferences). The methodology for this research will be that of formal economic modeling and welfare analysis, enriched with important insights from psychology and sociology. It will also include experimental (laboratory) investigations. The output will first take the form of a series of articles in economics journals, as well as, for the research described in Part 1, a book to disseminate the research to broader, multidisciplinary and non-specialized audiences.
Summary
The application's unifying theme is cognition. Any decision reflects the information that comes to the decision-maker's awareness at the moment of making the decision. In turn, this information is the stochastic outcome of a sequence of more or less conscious choices and of awareness manipulation by third parties. The three parts of this application all are concerned with two factors of limited awareness (cognitive costs and motivated beliefs) and with the application of imperfect cognition to economics. The various projects can be subsumed into three themes, each with different subprojects: 1. Self-serving beliefs, laws, norms and taboos (expressive function of the law, taboos, dignity and contracts). 2. Cognition, markets, and contracts (mechanism design under costly cognition, directing attention in markets and politics). 3. Cognition and individual decision-making (foundations of some non-standard preferences). The methodology for this research will be that of formal economic modeling and welfare analysis, enriched with important insights from psychology and sociology. It will also include experimental (laboratory) investigations. The output will first take the form of a series of articles in economics journals, as well as, for the research described in Part 1, a book to disseminate the research to broader, multidisciplinary and non-specialized audiences.
Max ERC Funding
1 910 400 €
Duration
Start date: 2010-04-01, End date: 2016-03-31
Project acronym CONTACTMATH
Project Legendrian contact homology and generating families
Researcher (PI) Frédéric Bourgeois
Host Institution (HI) UNIVERSITE PARIS-SUD
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary A contact structure on an odd dimensional manifold in a maximally non integrable hyperplane field. It is the odd dimensional counterpart of a symplectic structure. Contact and symplectic topology is a recent and very active area that studies intrinsic questions about existence, (non) uniqueness and rigidity of contact and symplectic structures. It is intimately related to many other important disciplines, such as dynamical systems, singularity theory, knot theory, Morse theory, complex analysis, ... Legendrian submanifolds are a distinguished class of submanifolds in a contact manifold, which are tangent to the contact distribution. These manifolds are of a particular interest in contact topology. Important classes of Legendrian submanifolds can be described using generating families, and this description can be used to define Legendrian invariants via Morse theory. Other the other hand, Legendrian contact homology is an invariant for Legendrian submanifolds, based on holomorphic curves. The goal of this research proposal is to study the relationship between these two approaches. More precisely, we plan to show that the generating family homology and the linearized Legendrian contact homology can be defined for the same class of Legendrian submanifolds, and are isomorphic. This correspondence should be established using a parametrized version of symplectic homology, being developed by the Principal Investigator in collaboration with Oancea. Such a result would give an entirely new type of information about holomorphic curves invariants. Moreover, it can be used to obtain more general structural results on linearized Legendrian contact homology, to extend recent results on existence of Reeb chords, and to gain a much better understanding of the geography of Legendrian submanifolds.
Summary
A contact structure on an odd dimensional manifold in a maximally non integrable hyperplane field. It is the odd dimensional counterpart of a symplectic structure. Contact and symplectic topology is a recent and very active area that studies intrinsic questions about existence, (non) uniqueness and rigidity of contact and symplectic structures. It is intimately related to many other important disciplines, such as dynamical systems, singularity theory, knot theory, Morse theory, complex analysis, ... Legendrian submanifolds are a distinguished class of submanifolds in a contact manifold, which are tangent to the contact distribution. These manifolds are of a particular interest in contact topology. Important classes of Legendrian submanifolds can be described using generating families, and this description can be used to define Legendrian invariants via Morse theory. Other the other hand, Legendrian contact homology is an invariant for Legendrian submanifolds, based on holomorphic curves. The goal of this research proposal is to study the relationship between these two approaches. More precisely, we plan to show that the generating family homology and the linearized Legendrian contact homology can be defined for the same class of Legendrian submanifolds, and are isomorphic. This correspondence should be established using a parametrized version of symplectic homology, being developed by the Principal Investigator in collaboration with Oancea. Such a result would give an entirely new type of information about holomorphic curves invariants. Moreover, it can be used to obtain more general structural results on linearized Legendrian contact homology, to extend recent results on existence of Reeb chords, and to gain a much better understanding of the geography of Legendrian submanifolds.
Max ERC Funding
710 000 €
Duration
Start date: 2009-11-01, End date: 2014-10-31
Project acronym DECLIC
Project Exploring the Decoherence of Light in Cavities
Researcher (PI) Serge Haroche
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Advanced Grant (AdG), PE2, ERC-2009-AdG
Summary The transition from quantum to classical is an essential issue in physics. At a practical level, quantum information thrives to build large quantum systems for tasks in communication or computing beyond the reach of classical devices. At the fundamental level, the question is whether there exists, in addition to environment-induced decoherence, another mechanism responsible for the disappearance of state superpositions at the macroscopic scale. Harmonic oscillators coupled to qubits are ideal to probe the limits of the quantum domain. Among various versions of this system, microwave Cavity Quantum Electrodynamics coupling Rydberg atoms to superconducting cavities has developed tools of un-matched sensitivity and precision. Building on these advances and on the development of deterministic atomic sources, DECLIC proposes to explore the dynamics of fields trapped in cavities and to study their decoherence under various perspectives. It will implement novel ways to generate non-classical states with large photon numbers stored in one cavity or non-locally split between two. DECLIC will record the gradual evolution of these states towards classicality and locality. Along this way, it will explore promising processes such as quantum random walks and collective photonic effects leading to non-classical interferometry breaking the standard quantum limit. Beyond witnessing decoherence, DECLIC will investigate ways to manipulate and control it, either by implementing feedback procedures steering the field towards targeted states, or by engineering artificial environments protecting against decoherence specific states of light. These experiments will provide invaluable clues for the understanding of other oscillator-qubit systems exploring the quantum to classical boundary.
Summary
The transition from quantum to classical is an essential issue in physics. At a practical level, quantum information thrives to build large quantum systems for tasks in communication or computing beyond the reach of classical devices. At the fundamental level, the question is whether there exists, in addition to environment-induced decoherence, another mechanism responsible for the disappearance of state superpositions at the macroscopic scale. Harmonic oscillators coupled to qubits are ideal to probe the limits of the quantum domain. Among various versions of this system, microwave Cavity Quantum Electrodynamics coupling Rydberg atoms to superconducting cavities has developed tools of un-matched sensitivity and precision. Building on these advances and on the development of deterministic atomic sources, DECLIC proposes to explore the dynamics of fields trapped in cavities and to study their decoherence under various perspectives. It will implement novel ways to generate non-classical states with large photon numbers stored in one cavity or non-locally split between two. DECLIC will record the gradual evolution of these states towards classicality and locality. Along this way, it will explore promising processes such as quantum random walks and collective photonic effects leading to non-classical interferometry breaking the standard quantum limit. Beyond witnessing decoherence, DECLIC will investigate ways to manipulate and control it, either by implementing feedback procedures steering the field towards targeted states, or by engineering artificial environments protecting against decoherence specific states of light. These experiments will provide invaluable clues for the understanding of other oscillator-qubit systems exploring the quantum to classical boundary.
Max ERC Funding
2 500 000 €
Duration
Start date: 2010-02-01, End date: 2016-01-31
