Perturbative approach to Markovian open quantum systems
The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained...
Gespeichert in:
Veröffentlicht in: | Scientific reports 2014-05, Vol.4 (1), p.4887-4887, Article 4887 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 4887 |
---|---|
container_issue | 1 |
container_start_page | 4887 |
container_title | Scientific reports |
container_volume | 4 |
creator | Li, Andy C. Y. Petruccione, F. Koch, Jens |
description | The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained much less developed for open quantum systems where a direct application to the Lindblad master equation is desirable. We present such a perturbative treatment which will be useful for an analytical understanding of open quantum systems and for numerical calculation of system observables which would otherwise be impractical. |
doi_str_mv | 10.1038/srep04887 |
format | Article |
fullrecord | <record><control><sourceid>proquest_pubme</sourceid><recordid>TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4013940</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1898008770</sourcerecordid><originalsourceid>FETCH-LOGICAL-c438t-c7b898e3b3f5194738a98984b0bf82eddb2e870f5ba039dc6ffa1e8fcf3356f73</originalsourceid><addsrcrecordid>eNplkV1LwzAUhoMoTuYu_ANS8EaFar7aJDeCDL9gohd6HdI22Trbpkvawf69GZtjam4Sch6evDkHgDMEbxAk_NY73ULKOTsAJxjSJMYE48O98wCMvJ_DsBIsKBLHYIApRyiF7ASwd-263mWqK5c6Um3rrMpnUWejV-W-7LJUTWRb3USLXjVdX0d-5Ttd-1NwZFTl9Wi7D8Hn48PH-DmevD29jO8ncU4J7-KcZVxwTTJiEiQoI1yJcEEzmBmOdVFkWHMGTZIpSESRp8YopLnJDSFJahgZgruNt-2zWhe5bjqnKtm6slZuJa0q5e9KU87k1C4lhYgICoPgcitwdtFr38m69LmuKtVo23uJEkyIEBymAb34g85t75rwPYlCaAg5Y2vh1YbKnfWh-WYXBkG5nojcTSSw5_vpd-RP_wNwvQF8KDVT7fae_Gf7Bs1olcc</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1898008770</pqid></control><display><type>article</type><title>Perturbative approach to Markovian open quantum systems</title><source>DOAJ Directory of Open Access Journals</source><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><source>Springer Nature OA Free Journals</source><source>Nature Free</source><source>PubMed Central</source><source>Free Full-Text Journals in Chemistry</source><creator>Li, Andy C. Y. ; Petruccione, F. ; Koch, Jens</creator><creatorcontrib>Li, Andy C. Y. ; Petruccione, F. ; Koch, Jens</creatorcontrib><description>The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained much less developed for open quantum systems where a direct application to the Lindblad master equation is desirable. We present such a perturbative treatment which will be useful for an analytical understanding of open quantum systems and for numerical calculation of system observables which would otherwise be impractical.</description><identifier>ISSN: 2045-2322</identifier><identifier>EISSN: 2045-2322</identifier><identifier>DOI: 10.1038/srep04887</identifier><identifier>PMID: 24811607</identifier><language>eng</language><publisher>London: Nature Publishing Group UK</publisher><subject>639/766/483 ; 639/766/483/640 ; Approximation ; Eigenvalues ; Hilbert space ; Humanities and Social Sciences ; multidisciplinary ; Open systems ; Physics ; Science ; Theoretical physics</subject><ispartof>Scientific reports, 2014-05, Vol.4 (1), p.4887-4887, Article 4887</ispartof><rights>The Author(s) 2014</rights><rights>Copyright Nature Publishing Group May 2014</rights><rights>Copyright © 2014, Macmillan Publishers Limited. All rights reserved 2014 Macmillan Publishers Limited. All rights reserved</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c438t-c7b898e3b3f5194738a98984b0bf82eddb2e870f5ba039dc6ffa1e8fcf3356f73</citedby><cites>FETCH-LOGICAL-c438t-c7b898e3b3f5194738a98984b0bf82eddb2e870f5ba039dc6ffa1e8fcf3356f73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4013940/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4013940/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,315,729,782,786,866,887,27931,27932,41127,42196,51583,53798,53800</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/24811607$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Li, Andy C. Y.</creatorcontrib><creatorcontrib>Petruccione, F.</creatorcontrib><creatorcontrib>Koch, Jens</creatorcontrib><title>Perturbative approach to Markovian open quantum systems</title><title>Scientific reports</title><addtitle>Sci Rep</addtitle><addtitle>Sci Rep</addtitle><description>The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained much less developed for open quantum systems where a direct application to the Lindblad master equation is desirable. We present such a perturbative treatment which will be useful for an analytical understanding of open quantum systems and for numerical calculation of system observables which would otherwise be impractical.</description><subject>639/766/483</subject><subject>639/766/483/640</subject><subject>Approximation</subject><subject>Eigenvalues</subject><subject>Hilbert space</subject><subject>Humanities and Social Sciences</subject><subject>multidisciplinary</subject><subject>Open systems</subject><subject>Physics</subject><subject>Science</subject><subject>Theoretical physics</subject><issn>2045-2322</issn><issn>2045-2322</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNplkV1LwzAUhoMoTuYu_ANS8EaFar7aJDeCDL9gohd6HdI22Trbpkvawf69GZtjam4Sch6evDkHgDMEbxAk_NY73ULKOTsAJxjSJMYE48O98wCMvJ_DsBIsKBLHYIApRyiF7ASwd-263mWqK5c6Um3rrMpnUWejV-W-7LJUTWRb3USLXjVdX0d-5Ttd-1NwZFTl9Wi7D8Hn48PH-DmevD29jO8ncU4J7-KcZVxwTTJiEiQoI1yJcEEzmBmOdVFkWHMGTZIpSESRp8YopLnJDSFJahgZgruNt-2zWhe5bjqnKtm6slZuJa0q5e9KU87k1C4lhYgICoPgcitwdtFr38m69LmuKtVo23uJEkyIEBymAb34g85t75rwPYlCaAg5Y2vh1YbKnfWh-WYXBkG5nojcTSSw5_vpd-RP_wNwvQF8KDVT7fae_Gf7Bs1olcc</recordid><startdate>20140508</startdate><enddate>20140508</enddate><creator>Li, Andy C. Y.</creator><creator>Petruccione, F.</creator><creator>Koch, Jens</creator><general>Nature Publishing Group UK</general><general>Nature Publishing Group</general><scope>C6C</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7X7</scope><scope>7XB</scope><scope>88A</scope><scope>88E</scope><scope>88I</scope><scope>8FE</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>K9.</scope><scope>LK8</scope><scope>M0S</scope><scope>M1P</scope><scope>M2P</scope><scope>M7P</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>20140508</creationdate><title>Perturbative approach to Markovian open quantum systems</title><author>Li, Andy C. Y. ; Petruccione, F. ; Koch, Jens</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c438t-c7b898e3b3f5194738a98984b0bf82eddb2e870f5ba039dc6ffa1e8fcf3356f73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>639/766/483</topic><topic>639/766/483/640</topic><topic>Approximation</topic><topic>Eigenvalues</topic><topic>Hilbert space</topic><topic>Humanities and Social Sciences</topic><topic>multidisciplinary</topic><topic>Open systems</topic><topic>Physics</topic><topic>Science</topic><topic>Theoretical physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Andy C. Y.</creatorcontrib><creatorcontrib>Petruccione, F.</creatorcontrib><creatorcontrib>Koch, Jens</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Health & Medical Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Medical Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>ProQuest Biological Science Collection</collection><collection>Health & Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>Science Database</collection><collection>Biological Science Database</collection><collection>Access via ProQuest (Open Access)</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 Basic</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Scientific reports</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Andy C. Y.</au><au>Petruccione, F.</au><au>Koch, Jens</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Perturbative approach to Markovian open quantum systems</atitle><jtitle>Scientific reports</jtitle><stitle>Sci Rep</stitle><addtitle>Sci Rep</addtitle><date>2014-05-08</date><risdate>2014</risdate><volume>4</volume><issue>1</issue><spage>4887</spage><epage>4887</epage><pages>4887-4887</pages><artnum>4887</artnum><issn>2045-2322</issn><eissn>2045-2322</eissn><abstract>The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained much less developed for open quantum systems where a direct application to the Lindblad master equation is desirable. We present such a perturbative treatment which will be useful for an analytical understanding of open quantum systems and for numerical calculation of system observables which would otherwise be impractical.</abstract><cop>London</cop><pub>Nature Publishing Group UK</pub><pmid>24811607</pmid><doi>10.1038/srep04887</doi><tpages>1</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 2045-2322 |
ispartof | Scientific reports, 2014-05, Vol.4 (1), p.4887-4887, Article 4887 |
issn | 2045-2322 2045-2322 |
language | eng |
recordid | cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4013940 |
source | DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Springer Nature OA Free Journals; Nature Free; PubMed Central; Free Full-Text Journals in Chemistry |
subjects | 639/766/483 639/766/483/640 Approximation Eigenvalues Hilbert space Humanities and Social Sciences multidisciplinary Open systems Physics Science Theoretical physics |
title | Perturbative approach to Markovian open quantum systems |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-04T19%3A45%3A32IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Perturbative%20approach%20to%20Markovian%20open%20quantum%20systems&rft.jtitle=Scientific%20reports&rft.au=Li,%20Andy%20C.%20Y.&rft.date=2014-05-08&rft.volume=4&rft.issue=1&rft.spage=4887&rft.epage=4887&rft.pages=4887-4887&rft.artnum=4887&rft.issn=2045-2322&rft.eissn=2045-2322&rft_id=info:doi/10.1038/srep04887&rft_dat=%3Cproquest_pubme%3E1898008770%3C/proquest_pubme%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1898008770&rft_id=info:pmid/24811607&rfr_iscdi=true |