Universität zu Köln

Lenarcic, Zala ORCID: 0000-0001-8374-8011, Alberton, Ori, Rosch, Achim ORCID: 0000-0002-6586-5721 and Altman, Ehud (2020). Critical Behavior near the Many-Body Localization Transition in Driven Open Systems. Phys. Rev. Lett., 125 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

Coupling a many-body localized system to a thermal bath breaks local conservation laws and washes out signatures of localization. When the bath is nonthermal or when the system is also weakly driven, local conserved quantities acquire a highly nonthermal stationary value. We demonstrate how this property can be used to study the many-body localization phase transition in weakly open systems. Here, the strength of the coupling to the nonthermal baths plays a similar role as a finite temperature in a T = 0 quantum phase transition. By tuning this parameter, we can detect key features of the many-body localization (MBL) transition: the divergence of the dynamical exponent due to Griffiths effects in one dimension and the critical disorder strength. We apply these ideas to study the MBL critical point numerically. The possibility to observe critical signatures of the MBL transition in an open system allows for new numerical approaches that overcome the limitations of exact diagonalization studies. Here, we propose a scalable numerical scheme to study the MBL critical point using matrix-product operator solution to the Lindblad equation.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lenarcic, Zala UNSPECIFIED orcid.org/0000-0001-8374-8011 UNSPECIFIED Alberton, Ori UNSPECIFIED UNSPECIFIED UNSPECIFIED Rosch, Achim UNSPECIFIED orcid.org/0000-0002-6586-5721 UNSPECIFIED Altman, Ehud UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-319342
DOI:	10.1103/PhysRevLett.125.116601
Journal or Publication Title:	Phys. Rev. Lett.
Volume:	125
Number:	11
Date:	2020
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1079-7114
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 Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/31934