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Published January 1, 2018 | Submitted + Supplemental Material
Journal Article Open

Dynamics of many-body localization in the presence of particle loss

Abstract

At long times, residual couplings to the environment become relevant even in the most isolated experiments, a crucial difficulty for the study of fundamental aspects of many-body dynamics. A particular example is many-body localization in a cold-atom setting, where incoherent photon scattering introduces both dephasing and particle loss. Whereas dephasing has been studied in detail and is known to destroy localization already on the level of non-interacting particles, the effect of particle loss is less well understood. A difficulty arises due to the 'non-local' nature of the loss process, complicating standard numerical tools using matrix product decomposition. Utilizing symmetries of the Lindbladian dynamics, we investigate the particle loss on both the dynamics of observables, as well as the structure of the density matrix and the individual states. We find that particle loss in the presence of interactions leads to dissipation and a strong suppression of the (operator space) entanglement entropy. Our approach allows for the study of the interplay of dephasing and loss for pure and mixed initial states to long times, which is important for future experiments using controlled coupling of the environment.

Additional Information

© 2017 IOP Publishing. Received 5 June 2017. Accepted 13 November 2017. Accepted Manuscript online 13 November 2017. Published 15 December 2017. EvN gratefully acknowledges funding by the Swiss National Science Foundation through grant P2EZP2 172185. Work at Strathclyde is supported in part by the US Air Force Office of Scientific Research grant number FA2386-14-1-5003.

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Submitted - 1706.00788.pdf

Supplemental Material - qstaa9a02suppdata.pdf

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