Related papers: A Memory Hierarchy for Many-Body Localization: Emulating the Thermodynamic Limit

A Memory Hierarchy for Many-Body Localization: Emulating the Thermodynamic Limit

URL: http://arxiv.org/abs/2111.01146v2
Date: Mon, 25 Jul 2022 19:30:43 GMT
Title: A Memory Hierarchy for Many-Body Localization: Emulating the Thermodynamic Limit
Authors: Alex Nico-Katz, Abolfazl Bayat, Sougato Bose
Abstract summary: Local memory is the ability to extract information from a subsystem about its initial state. We introduce, investigate, and compare several information-theoretic quantifications of memory. We suggest that one can emulate the thermodynamic limit by artifically decohering otherwise quantum quantities.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Local memory - the ability to extract information from a subsystem about its initial state - is a central feature of many-body localization. We introduce, investigate, and compare several information-theoretic quantifications of memory and discover a hierarchical relationship among them. We also find that while the Holevo quantity is the most complete quantifier of memory, vastly outperforming the imbalance, its decohered counterpart is significantly better at capturing the critical properties of the many-body localization transition at small system sizes. This motivates our suggestion that one can emulate the thermodynamic limit by artifically decohering otherwise quantum quantities. Applying this method to the von Neumann entropy results in critical exponents consistent with analytic predictions, a feature missing from similar small finite-size system treatments. In addition, the decohering process makes experiments significantly simpler by avoiding quantum state tomography.

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