Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/4286
Title: | Entropy of Isolated Quantum Systems after a Quench. |
Authors: | Santos, Lea F. Rigol, Marcos Polkovnikov, Anatoli 0000-0001-9400-2709 |
Keywords: | diagonal entropy |
Issue Date: | 18-Jul-2011 |
Publisher: | American Physical Society |
Citation: | Santos, L.F., Polkovnikov, A. and Rigol, M. (2011). Entropy of Isolated Quantum Systems after a Quench. Physical Review Letters 107.4, 040601. |
Series/Report no.: | Physical Review Letters; |
Abstract: | A diagonal entropy, which depends only on the diagonal elements of the system’s density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in out-of-equilibrium quantum systems. We study this quantity after an interaction quench in lattice hard-core bosons and spinless fermions, and after a local chemical potential quench in a system of hard-core bosons in a superlattice potential. The former systems have a chaotic regime, where the diagonal entropy becomes equivalent to the equilibrium microcanonical entropy, coinciding with the onset of thermalization. The latter system is integrable. We show that its diagonal entropy is additive and different from the entropy of a generalized Gibbs ensemble, which has been introduced to account for the effects of conserved quantities at integrability. |
URI: | https://doi.org/10.1103/PhysRevLett.107.040601 https://hdl.handle.net/20.500.12202/4286 |
ISSN: | 0031-9007 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Santos Polkonikov Rigol 2011 PhysRevLett.107.040601.pdf | OA | 262.57 kB | Adobe PDF | View/Open |
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