Universität zu Köln

Huber, Sebastian, Buchhold, Michael ORCID: 0000-0001-5194-9388, Schmiedmayer, Joerg and Diehl, Sebastian (2018). Thermalization dynamics of two correlated bosonic quantum wires after a split. Phys. Rev. A, 97 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

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Abstract

Cherently splitting a one-dimensional Bose gas provides an attractive, experimentally established platform to investigatemany-body quantum dynamics. At short enough times, the dynamics is dominated by the dephasing of single quasiparticles, and well described by the relaxation towards a generalized Gibbs ensemble corresponding to the free Luttinger theory. At later times on the other hand, the approach to a thermal Gibbs ensemble is expected for a generic, interacting quantum system. Here, we go one step beyond the quadratic Luttinger theory and include the leading phonon-phonon interactions. By applying kinetic theory and nonequilibrium Dyson-Schwinger equations, we analyze the full relaxation dynamics beyond dephasing and determine the asymptotic thermalization process in the two-wire system for a symmetric splitting protocol. The major observables are the different phonon occupation functions and the experimentally accessible coherence factor, as well as the phase correlations between the two wires. We demonstrate that, depending on the splitting protocol, the presence of phonon collisions can have significant influence on the asymptotic evolution of these observables, which makes the corresponding thermalization dynamics experimentally accessible.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Huber, Sebastian UNSPECIFIED UNSPECIFIED UNSPECIFIED Buchhold, Michael UNSPECIFIED orcid.org/0000-0001-5194-9388 UNSPECIFIED Schmiedmayer, Joerg UNSPECIFIED UNSPECIFIED UNSPECIFIED Diehl, Sebastian UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-189450
DOI:	10.1103/PhysRevA.97.043611
Journal or Publication Title:	Phys. Rev. A
Volume:	97
Number:	4
Date:	2018
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9934
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 DIMENSIONAL BOSE-GAS; STATISTICAL-MECHANICS; LUTTINGER LIQUID; SYSTEMS; INTERFERENCE; EQUILIBRIUM; RELAXATION Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18945