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Title: Uhlmann phase of coherent states and the Uhlmann-Berry correspondence
We first compare the geometric frameworks behind the Uhlmann andBerry phases in a fiber-bundle language and then evaluate the Uhlmannphases of bosonic and fermionic coherent states. The Uhlmann phases ofboth coherent states are shown to carry geometric information anddecrease smoothly with temperature. Importantly, the Uhlmann phasesapproach the corresponding Berry phases as temperature decreases.Together with previous examples in the literature, we propose acorrespondence between the Uhlmann and Berry phases in thezero-temperature limit as a general property except some special casesand present a conditional proof of the correspondence.  more » « less
Award ID(s):
2011360
NSF-PAR ID:
10439582
Author(s) / Creator(s):
; ; ; ;
Date Published:
Journal Name:
SciPost Physics Core
Volume:
6
Issue:
1
ISSN:
2666-9366
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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