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Article: Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation

TitleSpatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation
Authors
Cen, LXWang, ZD
Issue Date2008
PublisherInstitute of Physics Publishing Ltd.. The Journal's web site is located at http://iopscience.iop.org/0295-5075
Citation
Epl, 2008, v. 82 n. 4 How to Cite?
DOI: http://dx.doi.org/10.1209/0295-5075/82/40003
AbstractThe property of quantum many-body systems under spatial reflection and the relevant physics of the renormalization group (RG) procedure are revealed. By virtue of the matrix product state (MPS) representation, various attributes for translational invariant systems associated with spatial reflection are manifested. We demonstrate subsequently a conservation rule of the conjugative relation for reflectional MPS pairs under RG transformations and illustrate further the property of the fixed points of RG flows. Finally, we show that a similar rule exists with respect to the target states in the density matrix renormalization group algorithm. Copyright © EPLA, 2008.
Persistent Identifierhttp://hdl.handle.net/10722/80553
ISSN
0295-5075
2021 Impact Factor: 1.958
2020 SCImago Journal Rankings: 0.625
ISI Accession Number ID
WOS:000256300900003
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorCen, LXen_HK
dc.contributor.authorWang, ZDen_HK
dc.date.accessioned2010-09-06T08:07:42Z-
dc.date.available2010-09-06T08:07:42Z-
dc.date.issued2008en_HK
dc.identifier.citationEpl, 2008, v. 82 n. 4en_HK
dc.identifier.issn0295-5075en_HK
dc.identifier.urihttp://hdl.handle.net/10722/80553-
dc.description.abstractThe property of quantum many-body systems under spatial reflection and the relevant physics of the renormalization group (RG) procedure are revealed. By virtue of the matrix product state (MPS) representation, various attributes for translational invariant systems associated with spatial reflection are manifested. We demonstrate subsequently a conservation rule of the conjugative relation for reflectional MPS pairs under RG transformations and illustrate further the property of the fixed points of RG flows. Finally, we show that a similar rule exists with respect to the target states in the density matrix renormalization group algorithm. Copyright © EPLA, 2008.en_HK
dc.languageengen_HK
dc.publisherInstitute of Physics Publishing Ltd.. The Journal's web site is located at http://iopscience.iop.org/0295-5075 en_HK
dc.relation.ispartofEPLen_HK
dc.rightsEurophysics Letters. Copyright © E D P Sciences.en_HK
dc.titleSpatial reflection and renormalization group flow of quantum many-body systems with matrix product state representationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0295-5075&volume=82&spage=40003: 1&epage=5&date=2008&atitle=Spatial+reflection+and+renormalization+group+flow+of+quantum+many-body+systems+with+matrix+product+state+representationen_HK
dc.identifier.emailWang, ZD: zwang@hkucc.hku.hken_HK
dc.identifier.authorityWang, ZD=rp00802en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1209/0295-5075/82/40003en_HK
dc.identifier.scopuseid_2-s2.0-79051470779en_HK
dc.identifier.hkuros149793en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79051470779&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume82en_HK
dc.identifier.issue4en_HK
dc.identifier.isiWOS:000256300900003-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCen, LX=7003547834en_HK
dc.identifier.scopusauthoridWang, ZD=14828459100en_HK
dc.identifier.issnl0295-5075-

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