Universität zu Köln

Lux, Jonathan, Mueller, Jan, Mitra, Aditi ORCID: 0000-0002-2169-3796 and Rosch, Achim ORCID: 0000-0002-6586-5721 (2014). Hydrodynamic long-time tails after a quantum quench. Phys. Rev. A, 89 (5). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1094-1622

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Abstract

After a quantum quench, a sudden change of parameters, generic many-particle quantum systems are expected to equilibrate. Afewcollisions of quasiparticles are usually sufficient to establish approximately local equilibrium. Reaching global equilibrium is, however, much more difficult as conserved quantities have to be transported for long distances to build up a pattern of fluctuations characteristic for equilibrium. Here we investigate the quantum quench of the one-dimensional bosonic Hubbard model from infinite to finite interaction strength U using semiclassical methods for weak and exact diagonalization for strong quenches. Equilibrium is approached only slowly, as t(-1/2) with subleading corrections proportional to t(-3/4), consistent with predictions from hydrodynamics. We show that these long-time tails determine the relaxation of a wide range of physical observables.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lux, Jonathan UNSPECIFIED UNSPECIFIED UNSPECIFIED Mueller, Jan UNSPECIFIED UNSPECIFIED UNSPECIFIED Mitra, Aditi UNSPECIFIED orcid.org/0000-0002-2169-3796 UNSPECIFIED Rosch, Achim UNSPECIFIED orcid.org/0000-0002-6586-5721 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-438414
DOI:	10.1103/PhysRevA.89.053608
Journal or Publication Title:	Phys. Rev. A
Volume:	89
Number:	5
Date:	2014
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1094-1622
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MOTT INSULATOR; RELAXATION; DIFFUSION Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/43841