Asymmetric Loop Spectra and Unbroken Phase Protection due to Nonlinearities in PT -Symmetric Periodic Potentials
We demonstrate that the interplay between a nonlinearity and PT symmetry in a periodic potential results in peculiar features of nonlinear periodic solutions. These include thresholdless symmetry breaking and asymmetric (multi-)loop structures of the nonlinear Bloch spectrum, persistence of unbroken...
Gespeichert in:
| Veröffentlicht in: | Physical review letters 2021-07, Vol.127 (3), p.1-034101, Article 034101 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 034101 |
|---|---|
| container_issue | 3 |
| container_start_page | 1 |
| container_title | Physical review letters |
| container_volume | 127 |
| creator | Zhang, Yongping Chen, Zhu Wu, Biao Busch, Thomas Konotop, Vladimir V. |
| description | We demonstrate that the interplay between a nonlinearity and PT symmetry in a periodic potential results in peculiar features of nonlinear periodic solutions. These include thresholdless symmetry breaking and asymmetric (multi-)loop structures of the nonlinear Bloch spectrum, persistence of unbroken PT symmetry even after the gap is closed, nonmonotonic dependence of the PT phase transition on the defocusing nonlinearity, and enhanced stability of the nonlinear states corresponding to the loop structures. The asymmetry and the loop structure of the spectrum are explained within the framework of a two-mode approximation and an effective potential theory and are validated numerically. |
| doi_str_mv | 10.1103/PhysRevLett.127.034101 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_2557223387</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2557223387</sourcerecordid><originalsourceid>FETCH-LOGICAL-c290t-ebc56181437f5011bc4a1bbe1b6806db59dbf7d9b9af202a9fb1670d85489d043</originalsourceid><addsrcrecordid>eNpdkU1LAzEQhoMoWKt_QQJevGyd2a_sHkX8gqLFtucl2Z3FaJusSSr035taEfE0A_PMOwMPY-cIE0TIrmavW_9Cn1MKYYKpmECWI-ABGyGIOhGI-SEbAWSY1ADimJ14_wYAmJbViA3XfrteU3C65VNrBz4fqA1Ocmk6vjTK2XcyfPYqPfGZsyEOtTW82xAPlj9Zs9KGpNNBk-c6kguezH8TZ-S07XZN3DRBy5U_ZUd9LHT2U8dseXe7uHlIps_3jzfX06RNawgJqbYoscI8E30BiKrNJSpFqMoKyk4Vdad60dWqln0Kqax7haWAriryqu4gz8bscp87OPuxIR-atfYtrVbSkN34Ji0KkaZZVomIXvxD3-zGmfjdN1XFi1BFqtxTrbPeO-qbwem1dNsGodmJaP6IaKKIZi8i-wLtcH_Q</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2557868008</pqid></control><display><type>article</type><title>Asymmetric Loop Spectra and Unbroken Phase Protection due to Nonlinearities in PT -Symmetric Periodic Potentials</title><source>American Physical Society Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Zhang, Yongping ; Chen, Zhu ; Wu, Biao ; Busch, Thomas ; Konotop, Vladimir V.</creator><creatorcontrib>Zhang, Yongping ; Chen, Zhu ; Wu, Biao ; Busch, Thomas ; Konotop, Vladimir V.</creatorcontrib><description>We demonstrate that the interplay between a nonlinearity and PT symmetry in a periodic potential results in peculiar features of nonlinear periodic solutions. These include thresholdless symmetry breaking and asymmetric (multi-)loop structures of the nonlinear Bloch spectrum, persistence of unbroken PT symmetry even after the gap is closed, nonmonotonic dependence of the PT phase transition on the defocusing nonlinearity, and enhanced stability of the nonlinear states corresponding to the loop structures. The asymmetry and the loop structure of the spectrum are explained within the framework of a two-mode approximation and an effective potential theory and are validated numerically.</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/PhysRevLett.127.034101</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Asymmetry ; Broken symmetry ; Defocusing ; Nonlinearity ; Phase transitions ; Potential theory ; Symmetry</subject><ispartof>Physical review letters, 2021-07, Vol.127 (3), p.1-034101, Article 034101</ispartof><rights>Copyright American Physical Society Jul 16, 2021</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c290t-ebc56181437f5011bc4a1bbe1b6806db59dbf7d9b9af202a9fb1670d85489d043</citedby><cites>FETCH-LOGICAL-c290t-ebc56181437f5011bc4a1bbe1b6806db59dbf7d9b9af202a9fb1670d85489d043</cites><orcidid>0000-0003-0535-2833 ; 0000-0003-0545-3036 ; 0000-0002-1398-3910</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,2863,2864,27901,27902</link.rule.ids></links><search><creatorcontrib>Zhang, Yongping</creatorcontrib><creatorcontrib>Chen, Zhu</creatorcontrib><creatorcontrib>Wu, Biao</creatorcontrib><creatorcontrib>Busch, Thomas</creatorcontrib><creatorcontrib>Konotop, Vladimir V.</creatorcontrib><title>Asymmetric Loop Spectra and Unbroken Phase Protection due to Nonlinearities in PT -Symmetric Periodic Potentials</title><title>Physical review letters</title><description>We demonstrate that the interplay between a nonlinearity and PT symmetry in a periodic potential results in peculiar features of nonlinear periodic solutions. These include thresholdless symmetry breaking and asymmetric (multi-)loop structures of the nonlinear Bloch spectrum, persistence of unbroken PT symmetry even after the gap is closed, nonmonotonic dependence of the PT phase transition on the defocusing nonlinearity, and enhanced stability of the nonlinear states corresponding to the loop structures. The asymmetry and the loop structure of the spectrum are explained within the framework of a two-mode approximation and an effective potential theory and are validated numerically.</description><subject>Asymmetry</subject><subject>Broken symmetry</subject><subject>Defocusing</subject><subject>Nonlinearity</subject><subject>Phase transitions</subject><subject>Potential theory</subject><subject>Symmetry</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNpdkU1LAzEQhoMoWKt_QQJevGyd2a_sHkX8gqLFtucl2Z3FaJusSSr035taEfE0A_PMOwMPY-cIE0TIrmavW_9Cn1MKYYKpmECWI-ABGyGIOhGI-SEbAWSY1ADimJ14_wYAmJbViA3XfrteU3C65VNrBz4fqA1Ocmk6vjTK2XcyfPYqPfGZsyEOtTW82xAPlj9Zs9KGpNNBk-c6kguezH8TZ-S07XZN3DRBy5U_ZUd9LHT2U8dseXe7uHlIps_3jzfX06RNawgJqbYoscI8E30BiKrNJSpFqMoKyk4Vdad60dWqln0Kqax7haWAriryqu4gz8bscp87OPuxIR-atfYtrVbSkN34Ji0KkaZZVomIXvxD3-zGmfjdN1XFi1BFqtxTrbPeO-qbwem1dNsGodmJaP6IaKKIZi8i-wLtcH_Q</recordid><startdate>20210716</startdate><enddate>20210716</enddate><creator>Zhang, Yongping</creator><creator>Chen, Zhu</creator><creator>Wu, Biao</creator><creator>Busch, Thomas</creator><creator>Konotop, Vladimir V.</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0003-0535-2833</orcidid><orcidid>https://orcid.org/0000-0003-0545-3036</orcidid><orcidid>https://orcid.org/0000-0002-1398-3910</orcidid></search><sort><creationdate>20210716</creationdate><title>Asymmetric Loop Spectra and Unbroken Phase Protection due to Nonlinearities in PT -Symmetric Periodic Potentials</title><author>Zhang, Yongping ; Chen, Zhu ; Wu, Biao ; Busch, Thomas ; Konotop, Vladimir V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c290t-ebc56181437f5011bc4a1bbe1b6806db59dbf7d9b9af202a9fb1670d85489d043</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Asymmetry</topic><topic>Broken symmetry</topic><topic>Defocusing</topic><topic>Nonlinearity</topic><topic>Phase transitions</topic><topic>Potential theory</topic><topic>Symmetry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Yongping</creatorcontrib><creatorcontrib>Chen, Zhu</creatorcontrib><creatorcontrib>Wu, Biao</creatorcontrib><creatorcontrib>Busch, Thomas</creatorcontrib><creatorcontrib>Konotop, Vladimir V.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Yongping</au><au>Chen, Zhu</au><au>Wu, Biao</au><au>Busch, Thomas</au><au>Konotop, Vladimir V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Asymmetric Loop Spectra and Unbroken Phase Protection due to Nonlinearities in PT -Symmetric Periodic Potentials</atitle><jtitle>Physical review letters</jtitle><date>2021-07-16</date><risdate>2021</risdate><volume>127</volume><issue>3</issue><spage>1</spage><epage>034101</epage><pages>1-034101</pages><artnum>034101</artnum><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>We demonstrate that the interplay between a nonlinearity and PT symmetry in a periodic potential results in peculiar features of nonlinear periodic solutions. These include thresholdless symmetry breaking and asymmetric (multi-)loop structures of the nonlinear Bloch spectrum, persistence of unbroken PT symmetry even after the gap is closed, nonmonotonic dependence of the PT phase transition on the defocusing nonlinearity, and enhanced stability of the nonlinear states corresponding to the loop structures. The asymmetry and the loop structure of the spectrum are explained within the framework of a two-mode approximation and an effective potential theory and are validated numerically.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevLett.127.034101</doi><orcidid>https://orcid.org/0000-0003-0535-2833</orcidid><orcidid>https://orcid.org/0000-0003-0545-3036</orcidid><orcidid>https://orcid.org/0000-0002-1398-3910</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0031-9007 |
| ispartof | Physical review letters, 2021-07, Vol.127 (3), p.1-034101, Article 034101 |
| issn | 0031-9007 1079-7114 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_2557223387 |
| source | American Physical Society Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Asymmetry Broken symmetry Defocusing Nonlinearity Phase transitions Potential theory Symmetry |
| title | Asymmetric Loop Spectra and Unbroken Phase Protection due to Nonlinearities in PT -Symmetric Periodic Potentials |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T11%3A22%3A29IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Asymmetric%20Loop%20Spectra%20and%20Unbroken%20Phase%20Protection%20due%20to%20Nonlinearities%20in%20PT%20-Symmetric%20Periodic%20Potentials&rft.jtitle=Physical%20review%20letters&rft.au=Zhang,%20Yongping&rft.date=2021-07-16&rft.volume=127&rft.issue=3&rft.spage=1&rft.epage=034101&rft.pages=1-034101&rft.artnum=034101&rft.issn=0031-9007&rft.eissn=1079-7114&rft_id=info:doi/10.1103/PhysRevLett.127.034101&rft_dat=%3Cproquest_cross%3E2557223387%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2557868008&rft_id=info:pmid/&rfr_iscdi=true |