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23 April 2024
 
  » arxiv » 1510.4634

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What survives of many-body localization in the presence of dissipation
Emanuele Levi ; Markus Heyl ; Igor Lesanovsky ; Juan P. Garrahan ;
Date 15 Oct 2015
AbstractMany-body localization (MBL) has emerged as a novel paradigm for robust ergodicity breaking in closed quantum many-body systems. However, it is not yet clear to which extent MBL survives in the expected presence of dissipative processes induced by the coupling to environments. Here we study heating and ergodicity for a paradigmatic MBL system---an interacting fermionic chain subject to disorder---in the presence of dephasing. We find that, even though the system is eventually driven into an infinite-temperature state, heating as monitored by the von Neumann entropy can progress logarithmically slowly, implying exponentially large time scales for relaxation. This slow loss of memory of initial conditions make signatures of non-ergodicity visible over a long, but transient, time regime. We point out a potential controlled realization of the considered setup with cold atomic gases held in optical lattices.
Source arXiv, 1510.4634
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