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Uhlmann phase of coherent states and the Uhlmann-Berry correspondence
- Source :
- SciPost Phys. Core 6, 024 (2023)
- Publication Year :
- 2022
-
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.<br />Comment: 23 pages, no figure
- Subjects :
- Quantum Physics
High Energy Physics - Theory
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- SciPost Phys. Core 6, 024 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2208.07001
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.21468/SciPostPhysCore.6.1.024