Local Conservation Laws and the Structure of the Many-Body Localized States
We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is supported by numerical simulations of the random-field XXZ spin cha...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/84978 |
| _version_ | 1811084633847103488 |
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| author | Serbyn, Maksym Papic, Z. Abanin, Dmitry A. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Serbyn, Maksym Papic, Z. Abanin, Dmitry A. |
| author_sort | Serbyn, Maksym |
| collection | MIT |
| description | We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is supported by numerical simulations of the random-field XXZ spin chain. We describe the structure of the eigenstates in the MBL phase and discuss the implications of local conservation laws for its nonequilibrium quantum dynamics. We argue that the many-body localization can be used to protect coherence in the system by suppressing relaxation between eigenstates with different local integrals of motion. |
| first_indexed | 2024-09-23T12:54:39Z |
| format | Article |
| id | mit-1721.1/84978 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:54:39Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/849782022-10-01T11:49:48Z Local Conservation Laws and the Structure of the Many-Body Localized States Serbyn, Maksym Papic, Z. Abanin, Dmitry A. Massachusetts Institute of Technology. Department of Physics Serbyn, Maksym We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is supported by numerical simulations of the random-field XXZ spin chain. We describe the structure of the eigenstates in the MBL phase and discuss the implications of local conservation laws for its nonequilibrium quantum dynamics. We argue that the many-body localization can be used to protect coherence in the system by suppressing relaxation between eigenstates with different local integrals of motion. National Science Foundation (U.S.) (Grant DMR-1104498) 2014-02-18T17:02:25Z 2014-02-18T17:02:25Z 2013-09 2013-07 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/84978 Serbyn, Maksym, Z. Papic, and Dmitry A. Abanin. “Local Conservation Laws and the Structure of the Many-Body Localized States.” Physical Review Letters 111, no. 12 (September 2013). © 2013 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevLett.111.127201 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
| spellingShingle | Serbyn, Maksym Papic, Z. Abanin, Dmitry A. Local Conservation Laws and the Structure of the Many-Body Localized States |
| title | Local Conservation Laws and the Structure of the Many-Body Localized States |
| title_full | Local Conservation Laws and the Structure of the Many-Body Localized States |
| title_fullStr | Local Conservation Laws and the Structure of the Many-Body Localized States |
| title_full_unstemmed | Local Conservation Laws and the Structure of the Many-Body Localized States |
| title_short | Local Conservation Laws and the Structure of the Many-Body Localized States |
| title_sort | local conservation laws and the structure of the many body localized states |
| url | http://hdl.handle.net/1721.1/84978 |
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