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Article: Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation
Title | Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation |
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Authors | |
Issue Date | 2008 |
Publisher | Institute 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? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/80553 |
ISSN | 2023 Impact Factor: 1.8 2023 SCImago Journal Rankings: 0.498 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Cen, LX | en_HK |
dc.contributor.author | Wang, ZD | en_HK |
dc.date.accessioned | 2010-09-06T08:07:42Z | - |
dc.date.available | 2010-09-06T08:07:42Z | - |
dc.date.issued | 2008 | en_HK |
dc.identifier.citation | Epl, 2008, v. 82 n. 4 | en_HK |
dc.identifier.issn | 0295-5075 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/80553 | - |
dc.description.abstract | The 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.language | eng | en_HK |
dc.publisher | Institute of Physics Publishing Ltd.. The Journal's web site is located at http://iopscience.iop.org/0295-5075 | en_HK |
dc.relation.ispartof | EPL | en_HK |
dc.rights | Europhysics Letters. Copyright © E D P Sciences. | en_HK |
dc.title | Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+representation | en_HK |
dc.identifier.email | Wang, ZD: zwang@hkucc.hku.hk | en_HK |
dc.identifier.authority | Wang, ZD=rp00802 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1209/0295-5075/82/40003 | en_HK |
dc.identifier.scopus | eid_2-s2.0-79051470779 | en_HK |
dc.identifier.hkuros | 149793 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-79051470779&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 82 | en_HK |
dc.identifier.issue | 4 | en_HK |
dc.identifier.isi | WOS:000256300900003 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Cen, LX=7003547834 | en_HK |
dc.identifier.scopusauthorid | Wang, ZD=14828459100 | en_HK |
dc.identifier.issnl | 0295-5075 | - |