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arXiv · 1904.04270

Entanglement in non-equilibrium steady states and many-body localization breakdown in a current driven system

Animesh Panda·Sumilan Banerjee
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Abstract

We model a one-dimensional (1D) current-driven interacting disordered system through a non-Hermitian Hamiltonian with asymmetric hopping and study the entanglement properties of its eigenstates. In particular, we investigate whether a many-body localizable system undergoes a transition to a current-carrying non-equilibrium steady state under the drive and how the entanglement properties of the quantum states change across the transition. We also discuss the dynamics, entanglement growth, and long-time fate of a generic initial state under an appropriate time-evolution of the system governed by the non-Hermitian Hamiltonian. Our study reveals rich entanglement structures of the eigenstates of the non-Hermitian Hamiltonian. We find transition between current-carrying states with volume-law to area-law entanglement entropy, as a function of disorder and the strength of the non-Hermitian term.

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Animesh Panda, Sumilan Banerjee. 2019-04-08. Entanglement in non-equilibrium steady states and many-body localization breakdown in a current driven system. https://doi.org/10.1103/physrevb.101.184201

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