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
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: |
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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: |
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/31662 |
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