Affiliation:
1. Southeast University
2. University of California, Merced
Abstract
We first compare the geometric frameworks behind the Uhlmann and
Berry phases in a fiber-bundle language and then evaluate the Uhlmann
phases of bosonic and fermionic coherent states. The Uhlmann phases of
both coherent states are shown to carry geometric information and
decrease smoothly with temperature. Importantly, the Uhlmann phases
approach the corresponding Berry phases as temperature decreases.
Together with previous examples in the literature, we propose a
correspondence between the Uhlmann and Berry phases in the
zero-temperature limit as a general property except some special cases
and present a conditional proof of the correspondence.
Funder
National Natural Science Foundation of China
National Science Foundation
Subject
Statistical and Nonlinear Physics,Atomic and Molecular Physics, and Optics,Nuclear and High Energy Physics,Condensed Matter Physics
Cited by
2 articles.
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