Universität zu Köln

Lange, Florian, Lenarcic, Zala ORCID: 0000-0001-8374-8011 and Rosch, Achim ORCID: 0000-0002-6586-5721 (2018). Time-dependent generalized Gibbs ensembles in open quantum systems. Phys. Rev. B, 97 (16). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

Generalized Gibbs ensembles have been used as powerful tools to describe the steady state of integrable many-particle quantum systems after a sudden change of the Hamiltonian. Here, we demonstrate numerically that they can be used for a much broader class of problems. We consider integrable systems in the presence of weak perturbations which break both integrability and drive the system to a state far from equilibrium. Under these conditions, we show that the steady state and the time evolution on long timescales can be accurately described by a (truncated) generalized Gibbs ensemble with time-dependent Lagrange parameters, determined from simple rate equations. We compare the numerically exact time evolutions of density matrices for small systems with a theory based on block-diagonal density matrices (diagonal ensemble) and a time-dependent generalized Gibbs ensemble containing only a small number of approximately conserved quantities, using the one-dimensional Heisenberg model with perturbations described by Lindblad operators as an example.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lange, Florian UNSPECIFIED UNSPECIFIED UNSPECIFIED Lenarcic, Zala UNSPECIFIED orcid.org/0000-0001-8374-8011 UNSPECIFIED Rosch, Achim UNSPECIFIED orcid.org/0000-0002-6586-5721 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-189054
DOI:	10.1103/PhysRevB.97.165138
Journal or Publication Title:	Phys. Rev. B
Volume:	97
Number:	16
Date:	2018
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language THERMALIZATION; EQUATIONS Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18905