Entanglement in a dephasing model and many-body localization

Abstract

We study entanglement dynamics in a diagonal dephasing model in which the strength of interaction decays exponentially with distance -- the so-called l-bit model of many-body localization. We calculate the exact expression for entanglement growth with time, finding in addition to a logarithmic growth, a sublogarithmic correction. Provided the l-bit picture correctly describes the many-body localized phase this implies that the entanglement in such systems does not grow (just) as a logarithm of time, as believed so far.

11 pages; v2: about one page of additional comments and explanations

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• Many-body localization in presence of cavity mediated long-range interactions
• Coherence, entanglement and quantumness in closed and open systems with conserved charge, with an application to many-body localisation
• Signatures of multifractality in a periodically driven interacting Aubry-André model
• Particle fluctuations and the failure of simple effective models for many-body localized phases
• Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
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• Signatures of Many-Body Localization in the Dynamics of Two-Level Systems in Glasses
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• Environment assisted superballistic scaling of conductance
• Persistent Ballistic Entanglement Spreading with Optimal Control in Quantum Spin Chains
• Boosting entanglement growth of many-body localization by superpositions of disorder
• Logarithmic light cone, slow entanglement growth, and quantum memory
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• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
• Quantum transport in quasi-periodic lattice systems in presence of Büttiker probes