Universität zu Köln

Lange, Florian and Rosch, Achim ORCID: 0000-0002-6586-5721 (2020). Bistabilities and domain walls in weakly open quantum systems. SciPost Phys., 9 (4). AMSTERDAM: SCIPOST FOUNDATION. ISSN 2542-4653

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Abstract

Weakly pumped systems with approximate conservation laws can be efficiently described by (generalized) Gibbs ensembles if the steady state of the system is unique. However, such a description can fail if there are multiple steady state solutions, for example, a bistability. In this case domains and domain walls may form. In one-dimensional (1D) systems any type of noise (thermal or non-thermal) will in general lead to a proliferation of such domains. We study this physics in a 1D spin chain with two approximate conservation laws, energy and the z-component of the total magnetization. A bistability in the magnetization is induced by the coupling to suitably chosen Lindblad operators. We analyze the theory for a weak coupling strength epsilon to the non-equilibrium bath. In this limit, we argue that one can use hydrodynamic approximations which describe the system locally in terms of space- and time-dependent Lagrange parameters. Here noise terms enforce the creation of domains, where the typical width of a domain wall goes as similar to 1/root epsilon while the density of domain walls is exponentially small in 1/root epsilon. This is shown by numerical simulations of a simplified hydrodynamic equation in the presence of noise.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lange, Florian UNSPECIFIED UNSPECIFIED UNSPECIFIED Rosch, Achim UNSPECIFIED orcid.org/0000-0002-6586-5721 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-316627
DOI:	10.21468/SciPostPhys.9.4.057
Journal or Publication Title:	SciPost Phys.
Volume:	9
Number:	4
Date:	2020
Publisher:	SCIPOST FOUNDATION
Place of Publication:	AMSTERDAM
ISSN:	2542-4653
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 BOSE-EINSTEIN CONDENSATION; PHOTONS Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/31662