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- Publisher Website: 10.1103/PhysRevLett.95.050406
- Scopus: eid_2-s2.0-27144451762
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Article: Geometric phase in eigenspace evolution of invariant and adiabatic action operators
Title | Geometric phase in eigenspace evolution of invariant and adiabatic action operators |
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Authors | |
Issue Date | 2005 |
Publisher | American Physical Society. The Journal's web site is located at http://prl.aps.org |
Citation | Physical Review Letters, 2005, v. 95 n. 5, article no. 050406 How to Cite? |
Abstract | The theory of geometric phase is generalized to a cyclic evolution of the eigenspace of an invariant operator with N-fold degeneracy. The corresponding geometric phase is interpreted as a holonomy inherited from the universal Stiefel U(N) bundle over a Grassmann manifold. Most significantly, for an arbitrary initial state, this holonomy captures the inherent geometric feature of the state evolution that may not be cyclic. Moreover, a rigorous theory of geometric phase in the evolution of the eigenspace of an adiabatic action operator is also formulated, with the corresponding holonomy being elaborated by a pullback U(N) bundle. © 2005 The American Physical Society. |
Persistent Identifier | http://hdl.handle.net/10722/174971 |
ISSN | 2023 Impact Factor: 8.1 2023 SCImago Journal Rankings: 3.040 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Teo, JCY | en_US |
dc.contributor.author | Wang, ZD | en_US |
dc.date.accessioned | 2012-11-26T08:48:26Z | - |
dc.date.available | 2012-11-26T08:48:26Z | - |
dc.date.issued | 2005 | en_US |
dc.identifier.citation | Physical Review Letters, 2005, v. 95 n. 5, article no. 050406 | - |
dc.identifier.issn | 0031-9007 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/174971 | - |
dc.description.abstract | The theory of geometric phase is generalized to a cyclic evolution of the eigenspace of an invariant operator with N-fold degeneracy. The corresponding geometric phase is interpreted as a holonomy inherited from the universal Stiefel U(N) bundle over a Grassmann manifold. Most significantly, for an arbitrary initial state, this holonomy captures the inherent geometric feature of the state evolution that may not be cyclic. Moreover, a rigorous theory of geometric phase in the evolution of the eigenspace of an adiabatic action operator is also formulated, with the corresponding holonomy being elaborated by a pullback U(N) bundle. © 2005 The American Physical Society. | en_US |
dc.language | eng | en_US |
dc.publisher | American Physical Society. The Journal's web site is located at http://prl.aps.org | en_US |
dc.relation.ispartof | Physical Review Letters | en_US |
dc.title | Geometric phase in eigenspace evolution of invariant and adiabatic action operators | en_US |
dc.type | Article | en_US |
dc.identifier.email | Wang, ZD: zwang@hkucc.hku.hk | en_US |
dc.identifier.authority | Wang, ZD=rp00802 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1103/PhysRevLett.95.050406 | en_US |
dc.identifier.scopus | eid_2-s2.0-27144451762 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-27144451762&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 95 | en_US |
dc.identifier.issue | 5 | en_US |
dc.identifier.spage | article no. 050406 | - |
dc.identifier.epage | article no. 050406 | - |
dc.identifier.isi | WOS:000230887500006 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Teo, JCY=24484858500 | en_US |
dc.identifier.scopusauthorid | Wang, ZD=14828459100 | en_US |
dc.identifier.issnl | 0031-9007 | - |