22/11/2007 et 29/11/2007: “Intégrabilité et matière condensée” (Benoit Doucot)

Notes des exposés (séances des 22/11/07 et 29/11/07)

Ces notes sont complétées d’une bibliographie, les articles discutés sont accessibles en ligne ci-dessous:

1- Fermionization in an expanding gas of hard core bosons.
Marcos Rigol and Alejandro Muramatsu, Phys. Rev. Lett. 94, 240403(2005)
http://dx.doi.org/10.1103/PhysRevLett.94.240403

2- Dynamic scaling of fronts in the quantum XX chain,
V. Hunyadi, Z. Racz, and L. Sasvari, Phys. Rev. E 69, 066103 (2004)
http://dx.doi.org/10.1103/PhysRevE.69.066103

3-Nonlinear quantum shock waves in fractional quantum Hall edge states,
E. Bettelheim, Alexander G. Abanov, and P. Wiegmann, Phys. Rev. Lett.97, 246401 (2006)
http://dx.doi.org/10.1103/PhysRevLett.97.246401

4-Interference of a Thermal Tonks Gas on a Ring,
Kunal K. Das, M. D. Girardeau, and E. M. Wright, Phys. Rev. Lett. 89,170404 (2002).
http://dx.doi.org/10.1103/PhysRevLett.89.170404

5-Atom Michelson interferometer on a chip using a Bose-Einstein Condensate
Ying-Ju Wang, Dana Z. Anderson, Victor M. Bright, Eric A. Cornell,Quentin Diot, Tetsuo Kishimoto, Mara Prentiss, R. A. Saravanan, StephenR. Segal, and Saijun Wu, Phys. Rev. Lett. 94, 090405 (2005)
http://dx.doi.org/10.1103/PhysRevLett.94.090405

6-A quantum Newton’s craddle
Toshiya Kinoshita, Trevor Wenger and David S. Weiss, Nature 440, 900-903 (13 April 2006)
http://dx.doi.org/10.1038/nature04693

7-Relaxation in a completely integrable many-body quantum system…
Marcos Rigol, Vanja Dunjko, Vladimir Yurovsky, and Maxim Olshanii, Phys. Rev. Lett. 98, 050405 (2007)
http://dx.doi.org/10.1103/PhysRevLett.98.050405

8-Thermalization and its mechanism for generic isolated quantum systems
Marcos Rigol, Vanja Dunjko, Maxim Olshanii,
http://fr.arxiv.org/abs/0708.1324v1

9-Collapse and revivals of the matter wave field of a Bose-Einstein condensate
Markus Greiner, Olaf Mandel, Theodor W. Hänsch and Immanuel Bloch, Nature 419, 51-54 (5 September 2002).
http://dx.doi.org/10.1038/nature00968

10-Quench dynamics and non-equilibrium phase-diagram of the Bose-Hubbard model
Corinna Kollath, Andreas M. Läuchli, and Ehud Altman, Phys. Rev. Lett. 98, 180601 (2007)
http://dx.doi.org/10.1103/PhysRevLett.98.180601

11-Strongly correlated fermions after a quantum quench
S. R. Manmana, S. Wessel, R. M. Noack, and A. Muramatsu, Phys. Rev. Lett. 98, 210405 (2007)
http://dx.doi.org/10.1103/PhysRevLett.98.210405

12-Dynamics of a quantum phase transition
Wojciech H. Zurek, Uwe Dorner, and Peter Zoller, Phys. Rev. Lett. 95, 105701 (2005)
http://dx.doi.org/10.1103/PhysRevLett.95.105701

13-Dynamics of a quantum phase transition: exact solution of the quantum Ising model
Jacek Dziarmaga, Phys. Rev. Lett. 95, 245701 (2005)
http://dx.doi.org/10.1103/PhysRevLett.95.245701

14-Entropy and correlation functions of a driven quantum spin chain
R. W. Cherng and L. S. Levitov, Phys. Rev. A 73, 043614 (2006)
http://dx.doi.org/10.1103/PhysRevA.73.043614

15-Time dependence of correlation functions following a quantum quench
Pasquale Calabrese and John Cardy, Phys. Rev. Lett. 96, 136801 (2006)
http://dx.doi.org/10.1103/PhysRevLett.96.136801

16-Coherent spontaneous emission
Rodolfo Bonifacio and Giuliano Preparata, Phys. Rev. A 2, 336 - 347 (1970)
http://dx.doi.org/10.1103/PhysRevA.2.336

17-Integrable dynamics of coupled Fermi-Bose condensates
Emil A. Yuzbashyan, Vadim B. Kuznetsov, and Boris L. Altshuler, Phys. Rev. B 72, 144524 (2005)
http://dx.doi.org/10.1103/PhysRevB.72.144524

18-Singular Bohr-Sommerfeld rules
Yves Colin de Verdière et Bernard Parisse, Commun. Math. Phys 205 (1999), 459-500
http://dx.doi.org/10.1007/s002200050686