Quantum Coherence in Ergodic and Many-Body Localized Systems

• URL: http://arxiv.org/abs/2002.09447v2
• Date: Sun, 26 Jul 2020 14:26:03 GMT
• Title: Quantum Coherence in Ergodic and Many-Body Localized Systems
• Authors: Sayandip Dhara, Alioscia Hamma, Eduardo R. Mucciolo
• Abstract summary: We numerically calculate different measures of quantum coherence in the excited eigenstates of an interacting disordered Hamiltonian. We show that quantum coherence can be used as an order parameter to detect the well-studied ergodic to many-body-localized phase transition. We then present a protocol to calculate measurement-based localizable coherence to investigate the thermal and many-body localized phases.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum coherence quantifies the amount of superposition a quantum state can have in a given basis. Since there is a difference in the structure of eigenstates of the ergodic and many-body localized systems, we expect them also to differ in terms of their coherences in a given basis. Here, we numerically calculate different measures of quantum coherence in the excited eigenstates of an interacting disordered Hamiltonian as a function of the disorder. We show that quantum coherence can be used as an order parameter to detect the well-studied ergodic to many-body-localized phase transition. We also perform quantum quench studies to distinguish the behavior of coherence in thermalized and localized phases. We then present a protocol to calculate measurement-based localizable coherence to investigate the thermal and many-body localized phases. The protocol allows one to investigate quantum correlations experimentally in a non-destructive way, in contrast to measures that require tracing out a subsystem, which always destroys coherence and correlation.

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