scholarly journals Geometric phases for mixed states during cyclic evolutions

2004 ◽  
Vol 37 (11) ◽  
pp. 3699-3705 ◽  
Author(s):  
Li-Bin Fu ◽  
Jing-Ling Chen
Keyword(s):  
Mixed States ◽  
Geometric Phases

scholarly journals Geometric phases for mixed states of the Kitaev chain

2016 ◽  
Vol 374 (2068) ◽  
pp. 20150231 ◽  
Author(s):  
Ole Andersson ◽  
Ingemar Bengtsson ◽  
Marie Ericsson ◽  
Erik Sjöqvist
Keyword(s):  
Finite Temperature ◽  
Geometric Phase ◽  
Berry Phase ◽  
Condensed Matter ◽  
Order Parameters ◽  
Topological Order ◽  
Mixed States ◽  
Geometric Phases

The Berry phase has found applications in building topological order parameters for certain condensed matter systems. The question whether some geometric phase for mixed states can serve the same purpose has been raised, and proposals are on the table. We analyse the intricate behaviour of Uhlmann's geometric phase in the Kitaev chain at finite temperature, and then argue that it captures quite different physics from that intended. We also analyse the behaviour of a geometric phase introduced in the context of interferometry. For the Kitaev chain, this phase closely mirrors that of the Berry phase, and we argue that it merits further investigation.

GEOMETRIC PHASES OF PURE AND MIXED STATES

COSMOS ◽  
2006 ◽  
Vol 02 (01) ◽  
pp. 81-100
Author(s):  
R. RAVISHANKAR ◽  
J. F. DU
Keyword(s):  
Experimental Measurement ◽  
Mixed State ◽  
Geometric Phase ◽  
Mixed States ◽  
Geometric Phases

The purpose of this article is to review the literature for pure and mixed state geometric phase and also the experimental measurement of the phase using NMR.

Erratum: Geometric phases for nondegenerate and degenerate mixed states [Phys. Rev. A67, 032106 (2003)]

2013 ◽  
Vol 88 (4) ◽  
Author(s):  
K. Singh ◽  
D. M. Tong ◽  
K. Basu ◽  
J. L. Chen ◽  
J. F. Du
Keyword(s):  
Mixed States ◽  
Geometric Phases

scholarly journals Geometric phases for nondegenerate and degenerate mixed states

2003 ◽  
Vol 67 (3) ◽  
Author(s):  
K. Singh ◽  
D. M. Tong ◽  
K. Basu ◽  
J. L. Chen ◽  
J. F. Du
Keyword(s):  
Mixed States ◽  
Geometric Phases

scholarly journals Geometric Phases for Mixed States in Interferometry

2000 ◽  
Vol 85 (14) ◽  
pp. 2845-2849 ◽  
Author(s):  
Erik Sjöqvist ◽  
Arun K. Pati ◽  
Artur Ekert ◽  
Jeeva S. Anandan ◽  
Marie Ericsson ◽  
...  
Keyword(s):  
Mixed States ◽  
Geometric Phases

scholarly journals Observation of Geometric Phases for Mixed States using NMR Interferometry

2003 ◽  
Vol 91 (10) ◽  
Author(s):  
Jiangfeng Du ◽  
Ping Zou ◽  
Mingjun Shi ◽  
Leong Chuan Kwek ◽  
Jian-Wei Pan ◽  
...  
Keyword(s):  
Mixed States ◽  
Geometric Phases
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