N° ANR-09-BLAN-0098-01

Starting 01/09/2009
Ending 31/08/2013

Headed by Stéphane ATTAL

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Liste des publications soutenues par l'ANR:

  1. D. Karevski, T. Platini. "Quantum Non-equilibrium Steady States Induced by Repeated Interactions", Phys. Rev. Lett., 102, 207207 (2009).
  2. V. Brosko, F. Hekking, A. Joye. "Abstract adiabatic charge pumping", Confluentes Mathematici, 2, 159-180 (2010).
  3. A. Joye, M. Merkli. "Dynamical localization of Qunatum walks in Random environments", J. Stat. Phys., 140, 1025-1053 (2010).
  4. S. Vogelsberger, D. Spehner. "Average entanglement for Markovian quantum trajectories", Phys. Rev. A, 82, 052327 (2010).
  5. V. Jaksic, Y. Pautrat, C.-A. Pillet, "A quantum central limit theorem for sums of IID random variables", J. Math. Phys., 51, 015208 (2010).
  6. S. Attal, C. Pellegrini. "Stochastic Master Equations in Thermal Environment", Open sytem and Information Dynamics, 17, 389-408 (2010).
  7. S. Attal, C. Pellegrini. "Return to Equilibrium for some Quantum trajecories", In Nova Publisher Book "Stochastic Differential Equations".
  8. A. Barchielli, C. Pellegrini. "Jump-Diffusion Unravelling of non-Markovian Generalized Master Equations", J. Math. Phys., 51, 112104 (2010).
  9. A. Barchielli, P. Di Tella, C. Pellegrini, F. Petruccione. "Stochastic Schrödinger equations and memory", Proceedings of the conference Quantum probability (Chile, 2009).
  10. L. Bruneau, J. Derezinski, V. Georgescu. "Homogeneous Shrödinger operators on half-line", Ann. Henri Poincaré, 12, vol 3, 547-590 (2011).
  11. L. Bruneau, S. De Bièvre, C.-A. Pillet. "Scattering induced current in a tight-binding band", J. Math. Phys., 52, 022109 (2011).
  12. V. Jaksic, C.-A. Pillet, L. Rey-Bellet. "Entropic Fluctuations in,  Statistical Mechanics I. Classical Dynamical Systems", Nonlinearity, 24, 699-763 (2011).
  13. A. Joye. "Random time-dependent Quantum walks", Comm. Math. Phys., 307, 65-100 (2011).
  14. A. Joye. "Random Unitary Models and their Localization Properties", In "Entropy and the Quantum II", Contemporary Mathematics, 552, 117-134 (2011).
  15. S. Attal. "Markov Chains and Dynamical Systems: The Open System Point of View", Communications on Stochastic Analysis, 4,523-540 (2010).
  16. M. Collura, D. Karevski. "Critical quench dynamics in confined systems", Phys. Rev. Lett., 104, 200601 (2010).
  17. T. Platini, R. J. Harris, D. Karevski. "Fourier's law on a one-dimensional optical random lattice", J. Phys. A: Math. Theor., 43, 135003 (2010).
  18. J.-M. Barbaroux, S. Vugalter. "Non analyticity of the ground state energy of the Hamiltonian for Hydrogen atom in nonrelativistic QED", J. Phys. A: Math. Theor. , 43 , 474004 (2010). 
  19. G. Ferrini, D. Spehner, A. Minguzzi, F.W.J. Hekking. "Noise in Bose Josephson junctions: Decoherence and phase relaxation", Phys. Rev. A, 82,  033621, (2010).
  20. J.-M. Barbaroux, T. Chen, V. Vougalter, S. Vugalter. "Quantitative estimates on the Binding Energy for Hydrogen in Non-Relativistic QED", Ann. Henri Poincaré, 11, vol 8, 1487-1544 (2010).
  21. S. Vogelsberger, D. Spehner. "Entanglement evolution for quantum trajectories", Proc.  of the Fifth International Workshop DICE2010, J. Phys. : Conf. Ser., 306, 012029 (2011).
  22. V. Jaksic, C.-A. Pillet. "NESS in quantum statistical mechanics : Where are we after 10 years", Bulletin of the IAMP, January 2011.
  23. M. Collura, D. Karevski. "Nonlinear quenches of power-law confining traps in quantum critical systems", Phys. Rev. A, 83, 023603 (2011).
  24. S. De Bièvre, P. Parris. "Equilibration generalized equipartition and diffusion in dynamical Lorentz gases.", J. Stat. Phys., 142, 356-385, (2011).
  25. V. Jaksic, Y. Ogata, Y. Pautrat, C.-A. Pillet. "Entropic fluctuations in quantum statistical mechanics. An introduction." In "Quantum Theory from Small to Large Scales". J. Fröhlich, M. Salmhofer, V. Mastropietro, W. De Roeck and L.F. Cugliandolo editors. Oxford University Press, Oxford (2012).
  26. W.H. Aschbacher, J.-M. Barbaroux, J. Faupin, J.-C. Guillot. "Spectral theory for a mathematical model of the weak interactions: The decay of the intermediate bosons W+/-. II", Ann. Henri Poincaré, 12, vol 8,  1539-1570, (2011).
  27. S. Attal, F. Petruccione, C. Sabot, I. Sinayski. "Open Quantum Random Walks", J. Stat. Phys., 147, vol 4, 832-852 (2012).
  28. S. Attal, F. Petruccione, I. Sinayski. "Open Quantum Random Walks on Graphs", Phys. Lett. A., 376, Issue 18, 1545-1548 (2012).
  29. S. Attal, N. Guillotin, C. Sabot. "Central Limit Theorems for Open Quantum Random Walks", To appear in Ann. Henri Poincaré.
  30. H.D. Cornean, V. Moldoveanu, C.-A. Pillet. "Non-equilibrium steady-states for interacting open systems: exact results", Phys. Rev. B, 84, 075464 (2011).
  31. J. Deschamps. "Continuous-time Limit of Classical Repeated Interactions.", Ann. Henri Poincaré, 14, Issue 1, 179-220 (2013).
  32. G. Ferrini, D. Spehner, A. Minguzzi, F.W.J. Hekking. "Effect of phase noise on useful quantum correlations in Bose Josephson junctions", Phys. Rev. A, 84, 043628 (2011).
  33. P. Jacquet, C.-A. Pillet. "Temperature and voltage probes far from equilibrium", Phys. Rev. B, 85, 125120 (2012).
  34. V. Jaksic, Y. Ogata, C.-A. Pillet, R. Seiringer. "Hypothesis testing and nonequlibrium statistical mechanics", Rev. Math. Phys., 24, 1230002 (2012).
  35. J.-M. Barbaroux, S. Vugalter. "On the ground state energy of translation invariant Pauli-Fierz model II", Documenta Mathematica 17 (2012).
  36. E. Hamza, A. Joye. "Correlated Markov Quantum Walks", Ann. Henri Poincaré, 13, 1767-1805 (2012).
  37. L. Bruneau, V. Jaksic, C.-A. Pillet. "Landauer-Büttiker formula and Schrödinger conjecture", Comm. Math. Phys., 319, Issue 2, 501-513 (2013).
  38. A. Joye. "Dynamical Localization for d-Dimensional Random Quantum Walks", Quantum Information Processing, Special Issue "Quantum Walks", 11, 1251-1269 (2012).
  39. M. Collura, H. Aufderheide, G. Roux, D. Karevski. "Entangling many-body bound states with propagative modes in Bose-Hubbard systems", Phys. Rev. A, 86, 013615 (2012).
  40. I. Nechita, C. Pellegrini. "Random pure quantum states via unitary Brownian motion", Electron. Commun. Probab., 18, n°27, 1-13 (2013).
  41. W. De Roeck, D. Spehner. ''Rigorous derivation of translation-invariant Lindblad equations for a quantum Brownian particle'', J. Stat. Phys., 150, 320-352 (2013).
  42. A. Joye. "Dynamical Localization of Random Quantum Walks on the Lattice". XVIIth International Congress on Mathematical Physics, Aalborg, Denmark, 6-11 August 2012, A. Jensen Edt., World Scientific, 486-494 (2013).
  43. V. Jaksic, B. Landon, C.-A. Pillet. "Entropic fluctuations in XY chains and reflectionless Jacobi matrices". Ann. Henri Poincaré, 14, vol 7, 1775-1800 (2013).
  44. V. Jaksic, C.-A. Pillet. "Entropic functionals in quantum statistical mechanics". Proceedings of the XVIIth Internation Congress of Mathematical Physics, Aaalborg, Denmark (2012). Arne Jensen editor. World Scientific, Singapore, 2013.
  45. E. Hamza, A. Joye. "Spectral Transition for Random Quantum Walks on Trees", To appear in Comm. Math. Phys.
  46. K. Pawlowski, D. Spehner, A. Minguzzi, and G. Ferrini. "Macroscopic superpositions in Bose-Josephson junctions: Controlling decoherence due to atom losses", Phys. Rev. A 88, 013606 (2013).
  47. D. Spehner, M. Orszag. "Geometric quantum discord with Bures distance", New Journal of Physics, 15, 103001 (2013).
  48. J.-M. Barbaroux, S. Vugalter. "Contribution of the spin-Zeeman term to the binding energy for hydrogen in non-relativistic QED", Annals of the University of Bucharest, 4 (LXII), 323-336 (2013).
  49. D. Spehner and M. Orszag, "Geometric quantum discord with Bures distance: the qubit case", J. Phys. A: Math. Theor., 47, 035302 (2014).
  50. T. Benoist, C. Pellegrini. "Large Time Behavior and Convergence Rate for Quantum Filters under Standard Non-demolition Conditions", To appear in Comm. Math. Phys.
  51. S. Attal, J. Deschamps, C. Pellegrini. "Entanglement of Bipartite Quantum Systems via Repeated Interactions", To appear in J. Stat. Phys.
  52. C. Pellegrini. "Continuous Time Open Quantum random Walks and Non Markovian Lindblad Master Equations", To appear in J. Stat. Phys.
  53. L. Bruneau, A. Joye, M. Merkli. "Repeated interactions in open quantum systems", To appear in J. Math. Phys.
  54. V. Jaksic, C.-A. Pillet, M. Westrich. "Entropic fluctuations of quantum dynamical semigroups", To appear in J. Stat. Phys.
  55. H.D. Cornean, V. Moldoveanu, C.-A. Pillet. "On the steady state correlation functions of open interacting systems", To appear in Commun. Math. Phys.
  56. S. Attal, J. Deschamps, C. Pellegrini. "Complex Obtuse Random Walks and their Continuous Time Limit". Soumis.
  57. S. Attal, J. Deschamps, C. Pellegrini. "Classical Noises from Quantum Baths". Soumis.
  58. D. Braun, O. Giraud, I. Nechita, C. Pellegrini, M. Znidaric. "A universal set of qubit quantum channels". Soumis.
  59. L. Bruneau. "Mixing properties of the one-atom maser". Soumis.
  60. A. Joye, L. Marin. "Spectral Properties of Quantum Walks on Rooted Binary Trees". Soumis.
  61. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan. "Large deviations from a stationary measure for a class of dissipative PDE's with random kicks", Soumis.
  62. R. Ben Sâad, C.-A. Pillet. "A Geometric Approach to the Landauer-Büttiker formula", Soumis.
  63. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan. "Large deviations and Gallavotti–Cohen principle for dissipative PDE’s with rough noise", Soumis.
  64. V. Jaksic, A. Panati, C.-A. Pillet, A. Tomberg. "Entropic fluctuations in Gaussian dynamical systems", Soumis.
  65. J.-M. Barbaroux, S. Vugalter. "Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic QED. II. The spin case." Soumis.
  66. S. A. Reyes, L. Morales-Molina, M. Orszag, D. Spehner. "Harnessing synthetic gauge fields for maximally entangled state generation." Soumis.
  67. D. Spehner, K. Pawlowski, G. Ferrini, A. Minguzzi. "Effect of one-, two-, and three-body atom loss processes on superpositions of phase states in Bose-Josephson junctions." Soumis.