Memory hierarchy for many-body localization: Emulating the thermodynamic limit
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 th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.033070 |
| _version_ | 1797210652811460608 |
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| author | Alexander Nico-Katz Abolfazl Bayat Sougato Bose |
| author_facet | Alexander Nico-Katz Abolfazl Bayat Sougato Bose |
| author_sort | Alexander Nico-Katz |
| collection | DOAJ |
| description | 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 artificially 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. |
| first_indexed | 2024-04-24T10:14:00Z |
| format | Article |
| id | doaj.art-7236205868584c5d954ffaafd7886a9a |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:14:00Z |
| publishDate | 2022-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-7236205868584c5d954ffaafd7886a9a2024-04-12T17:23:09ZengAmerican Physical SocietyPhysical Review Research2643-15642022-07-014303307010.1103/PhysRevResearch.4.033070Memory hierarchy for many-body localization: Emulating the thermodynamic limitAlexander Nico-KatzAbolfazl BayatSougato BoseLocal 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 artificially 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.http://doi.org/10.1103/PhysRevResearch.4.033070 |
| spellingShingle | Alexander Nico-Katz Abolfazl Bayat Sougato Bose Memory hierarchy for many-body localization: Emulating the thermodynamic limit Physical Review Research |
| title | Memory hierarchy for many-body localization: Emulating the thermodynamic limit |
| title_full | Memory hierarchy for many-body localization: Emulating the thermodynamic limit |
| title_fullStr | Memory hierarchy for many-body localization: Emulating the thermodynamic limit |
| title_full_unstemmed | Memory hierarchy for many-body localization: Emulating the thermodynamic limit |
| title_short | Memory hierarchy for many-body localization: Emulating the thermodynamic limit |
| title_sort | memory hierarchy for many body localization emulating the thermodynamic limit |
| url | http://doi.org/10.1103/PhysRevResearch.4.033070 |
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