Bulletin of the American Physical Society
2009 APS March Meeting
Volume 54, Number 1
Monday–Friday, March 16–20, 2009; Pittsburgh, Pennsylvania
Session H6: Quench Dynamics and Thermalization in Quantum Systems |
Hide Abstracts |
Sponsoring Units: DCMP DAMOP Chair: Vladimir Gritsev, Harvard University Room: 406 |
Tuesday, March 17, 2009 8:00AM - 8:36AM |
H6.00001: Eigenstate Thermalization Hypothesis and Quantum Thermodynamics Invited Speaker: One of the open questions in quantum thermodynamics reads: how can linear quantum dynamics provide chaos necessary for thermalization of an isolated quantum system? To this end, we perform an ab initio numerical analysis of a system of hard-core bosons on a lattice and show [Marcos Rigol, Vanja Dunjko \& Maxim Olshanii, Nature 452, 854 (2008)] that the above controversy can be resolved via the Eigenstate Thermalization Hypothesis suggested independently by Deutsch [J. M. Deutsch, Phys. Rev. A 43, 2046 (1991)] and Srednicki [M. Srednicki, Phys. Rev. E 50, 888 (1994)]. According to this hypothesis, in quantum systems thermalization happens in each individual eigenstate of the system separately, but it is hidden initially by coherences between them. In course of the time evolution the thermal properties become revealed through (linear) decoherence that needs not to be chaotic. [Preview Abstract] |
Tuesday, March 17, 2009 8:36AM - 9:12AM |
H6.00002: Microscopic diagonal entropy and many-body dynamics Invited Speaker: We define microscopic diagonal entropy to characterize many-body dynamics of systems far from equilibrium. For the systems prepared initially in thermal equilibrium, it increases with time and is related to the heat generated in the dynamics. We illustrate our results with numerical simulations of a toy-BCS model. [Preview Abstract] |
Tuesday, March 17, 2009 9:12AM - 9:48AM |
H6.00003: Statistics of the Work done in a Quantum Quench Invited Speaker: The quantum quench, i.e. a rapid change in time of a control parameter of a quantum system, is the simplest paradigm of non-equilibrium process, completely analogous to a standard thermodynamic transformation. The dynamics following a quantum quench is particularly interesting in strongly correlated quantum systems, most prominently when the quench in performed across a quantum critical point. In this talk I will present a way to characterize the physics of quantum quenches by looking at the statistics of a basic thermodynamic variable: the work done on the system by changing its parameters [1]. I will first elucidate the relation between the probability distribution of the work, quantum Jarzynski equalities, and the Loschmidt echo, a quantity that emerges usually in the context of dephasing. Using this connection, I will then characterize the statistics of the work done on a Quantum Ising chain by quenching locally or globally the transverse field. I will then show that for global quenches the presence of a quantum critical point results in singularities of the moments of the distribution, while, for local quenches starting at criticality, the probability distribution itself displays an interesting edge singularity. The results of a similar analysis for other systems will be discussed. \\[4pt] [1] A. Silva, Phys. Rev. Lett. 101, 120603 (2008). [Preview Abstract] |
Tuesday, March 17, 2009 9:48AM - 10:24AM |
H6.00004: ABSTRACT WITHDRAWN |
Tuesday, March 17, 2009 10:24AM - 11:00AM |
H6.00005: ABSTRACT WITHDRAWN |
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700