Many-body localization in Bose-Hubbard model: evidence for the mobility edge
Motivated by recent experiments on interacting bosons in quasi-one-dimensional optical lattice [Nature {\bf 573}, 385 (2019)] we analyse theoretically properties of the system in the crossover between delocalized and localized regimes. Comparison of time dynamics for uniform and density wave like in...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2020-05 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Yao, Ruixiao Zakrzewski, Jakub |
| description | Motivated by recent experiments on interacting bosons in quasi-one-dimensional optical lattice [Nature {\bf 573}, 385 (2019)] we analyse theoretically properties of the system in the crossover between delocalized and localized regimes. Comparison of time dynamics for uniform and density wave like initial states enables demonstration of the existence of the mobility edge. To this end we define a new observable, the mean speed of transport at long times. It gives us an efficient estimate of the critical disorder for the crossover. We also show that the mean velocity growth of occupation fluctuations close to the edges of the system carries the similar information. Using the quantum quench procedure we show that it is possible to probe the mobility edge for different energies. |
| doi_str_mv | 10.48550/arxiv.2002.00381 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2002_00381</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2350663671</sourcerecordid><originalsourceid>FETCH-LOGICAL-a521-1f92d2ad9b1b86bb2a8857f00cb3eb7c2e063a3a397ff2720493fab355ff25243</originalsourceid><addsrcrecordid>eNotj81OwzAQhC0kJKrSB-CEJc4J9jr-CTeooEUK4tJ7ZMc2uErj4qQV4ekJLdrDaGdGq_0QuqEkLxTn5F6n73DMgRDICWGKXqAZMEYzVQBcoUXfb8mUCQmcsxmq3nQ3ZibaEbex0W340UOIHQ4dfoq9y9YHY3SyeBetax-wOwbrusZhHxMePt3km9CGYcTOfrhrdOl127vFv87R5uV5s1xn1fvqdflYZZoDzagvwYK2paFGCWNAK8WlJ6QxzBnZgCOC6WlK6T1IIEXJvDaM82nlULA5uj2fPaHW-xR2Oo31H3J9Qp4ad-fGPsWvg-uHehsPqZt-qoFxIgQTkrJfZLpYpQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2350663671</pqid></control><display><type>article</type><title>Many-body localization in Bose-Hubbard model: evidence for the mobility edge</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Yao, Ruixiao ; Zakrzewski, Jakub</creator><creatorcontrib>Yao, Ruixiao ; Zakrzewski, Jakub</creatorcontrib><description>Motivated by recent experiments on interacting bosons in quasi-one-dimensional optical lattice [Nature {\bf 573}, 385 (2019)] we analyse theoretically properties of the system in the crossover between delocalized and localized regimes. Comparison of time dynamics for uniform and density wave like initial states enables demonstration of the existence of the mobility edge. To this end we define a new observable, the mean speed of transport at long times. It gives us an efficient estimate of the critical disorder for the crossover. We also show that the mean velocity growth of occupation fluctuations close to the edges of the system carries the similar information. Using the quantum quench procedure we show that it is possible to probe the mobility edge for different energies.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2002.00381</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Bosons ; Crossovers ; Many body interactions ; Optical lattices ; Optical properties ; Physics - Disordered Systems and Neural Networks ; Physics - Quantum Gases ; Physics - Quantum Physics</subject><ispartof>arXiv.org, 2020-05</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,781,785,886,27927</link.rule.ids><backlink>$$Uhttps://doi.org/10.1103/PhysRevB.102.014310$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2002.00381$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Yao, Ruixiao</creatorcontrib><creatorcontrib>Zakrzewski, Jakub</creatorcontrib><title>Many-body localization in Bose-Hubbard model: evidence for the mobility edge</title><title>arXiv.org</title><description>Motivated by recent experiments on interacting bosons in quasi-one-dimensional optical lattice [Nature {\bf 573}, 385 (2019)] we analyse theoretically properties of the system in the crossover between delocalized and localized regimes. Comparison of time dynamics for uniform and density wave like initial states enables demonstration of the existence of the mobility edge. To this end we define a new observable, the mean speed of transport at long times. It gives us an efficient estimate of the critical disorder for the crossover. We also show that the mean velocity growth of occupation fluctuations close to the edges of the system carries the similar information. Using the quantum quench procedure we show that it is possible to probe the mobility edge for different energies.</description><subject>Bosons</subject><subject>Crossovers</subject><subject>Many body interactions</subject><subject>Optical lattices</subject><subject>Optical properties</subject><subject>Physics - Disordered Systems and Neural Networks</subject><subject>Physics - Quantum Gases</subject><subject>Physics - Quantum Physics</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj81OwzAQhC0kJKrSB-CEJc4J9jr-CTeooEUK4tJ7ZMc2uErj4qQV4ekJLdrDaGdGq_0QuqEkLxTn5F6n73DMgRDICWGKXqAZMEYzVQBcoUXfb8mUCQmcsxmq3nQ3ZibaEbex0W340UOIHQ4dfoq9y9YHY3SyeBetax-wOwbrusZhHxMePt3km9CGYcTOfrhrdOl127vFv87R5uV5s1xn1fvqdflYZZoDzagvwYK2paFGCWNAK8WlJ6QxzBnZgCOC6WlK6T1IIEXJvDaM82nlULA5uj2fPaHW-xR2Oo31H3J9Qp4ad-fGPsWvg-uHehsPqZt-qoFxIgQTkrJfZLpYpQ</recordid><startdate>20200514</startdate><enddate>20200514</enddate><creator>Yao, Ruixiao</creator><creator>Zakrzewski, Jakub</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20200514</creationdate><title>Many-body localization in Bose-Hubbard model: evidence for the mobility edge</title><author>Yao, Ruixiao ; Zakrzewski, Jakub</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a521-1f92d2ad9b1b86bb2a8857f00cb3eb7c2e063a3a397ff2720493fab355ff25243</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Bosons</topic><topic>Crossovers</topic><topic>Many body interactions</topic><topic>Optical lattices</topic><topic>Optical properties</topic><topic>Physics - Disordered Systems and Neural Networks</topic><topic>Physics - Quantum Gases</topic><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Yao, Ruixiao</creatorcontrib><creatorcontrib>Zakrzewski, Jakub</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yao, Ruixiao</au><au>Zakrzewski, Jakub</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Many-body localization in Bose-Hubbard model: evidence for the mobility edge</atitle><jtitle>arXiv.org</jtitle><date>2020-05-14</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>Motivated by recent experiments on interacting bosons in quasi-one-dimensional optical lattice [Nature {\bf 573}, 385 (2019)] we analyse theoretically properties of the system in the crossover between delocalized and localized regimes. Comparison of time dynamics for uniform and density wave like initial states enables demonstration of the existence of the mobility edge. To this end we define a new observable, the mean speed of transport at long times. It gives us an efficient estimate of the critical disorder for the crossover. We also show that the mean velocity growth of occupation fluctuations close to the edges of the system carries the similar information. Using the quantum quench procedure we show that it is possible to probe the mobility edge for different energies.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2002.00381</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2020-05 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2002_00381 |
| source | arXiv.org; Free E- Journals |
| subjects | Bosons Crossovers Many body interactions Optical lattices Optical properties Physics - Disordered Systems and Neural Networks Physics - Quantum Gases Physics - Quantum Physics |
| title | Many-body localization in Bose-Hubbard model: evidence for the mobility edge |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-17T21%3A14%3A38IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Many-body%20localization%20in%20Bose-Hubbard%20model:%20evidence%20for%20the%20mobility%20edge&rft.jtitle=arXiv.org&rft.au=Yao,%20Ruixiao&rft.date=2020-05-14&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2002.00381&rft_dat=%3Cproquest_arxiv%3E2350663671%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2350663671&rft_id=info:pmid/&rfr_iscdi=true |