Exploration of the stability of many-body localized systems in the presence of a small bath
Goihl M, Eisert J, Krumnow C (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 99
Article Number: 195145
Journal Issue: 19
DOI: 10.1103/PhysRevB.99.195145
Abstract
When pushed out of equilibrium, generic interacting quantum systems equilibrate locally and are expected to evolve towards a locally thermal description despite their unitary time evolution. Systems in which disorder competes with interactions and transport can violate this expectation by exhibiting many-body localization. The strength of the disorder with respect to the other two parameters drives a transition from a thermalizing system towards a nonthermalizing one. The existence of this transition is well established both in experimental and numerical studies for finite systems. However, the stability of many-body localization in the thermodynamic limit is largely unclear. With increasing system size, a generic disordered system will contain with high probability areas of low disorder variation. If large and frequent enough, those areas constitute ergodic grains which can hybridize and thus compete with localization. While the details of this process are not yet settled, it is conceivable that if such regions appear sufficiently often, they might be powerful enough to restore thermalization. We set out to shed light on this problem by constructing potential landscapes with low disorder regions and numerically investigating their localization behavior in the Heisenberg model. Our findings suggest that many-body localization may be more stable than anticipated in other recent theoretical works.
Involved external institutions
Germany (DE)How to cite
APA:
Goihl, M., Eisert, J., & Krumnow, C. (2019). Exploration of the stability of many-body localized systems in the presence of a small bath. Physical Review B, 99(19). https://doi.org/10.1103/PhysRevB.99.195145
MLA:
Goihl, Marcel, Jens Eisert, and Christian Krumnow. "Exploration of the stability of many-body localized systems in the presence of a small bath." Physical Review B 99.19 (2019).
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