Mixed-state geometric phases of coherent and squeezed spin states

Wang, Xin; Tang, Jia-Chen; Hou, Xu-Yang; Guo, Hao; Chien, Chih-Chun

doi:10.1103/98sq-16bz

Title: Mixed-state geometric phases of coherent and squeezed spin states

Journal Article · Fri Jun 27 00:00:00 UTC 2025 · Physical Review B

DOI: https://doi.org/10.1103/98sq-16bz · OSTI ID:3000366

Wang, Xin ^[1]; Tang, Jia-Chen ^[1]; Hou, Xu-Yang ^[1];

^[2];

^[3]

Southeast University, Nanjing (China)
Southeast University, Nanjing (China); Hefei National Laboratory (China)
University of California, Merced, CA (United States)

Two mixed-state geometric phases, known as the Uhlmann phase and interferometric geometric phase (IGP), of spin coherent states (CSSs) and spin squeezed states (SSSs) are analyzed. Exact solutions and numerical results of selected examples are presented. For the 𝑗=3/2 CSS, the Uhlmann phase exhibits finite-temperature topological phase transitions characterized by abrupt jumps. The IGP for the same state similarly shows discontinuous jumps as the temperature varies. In the case of the 𝑗=1 one-axis SSS, both the Uhlmann phase and IGP display discrete finite-temperature jumps. By contrast, the 𝑗=1 two-axis SSS shows no such transitions because the Uhlmann phase and IGP both vary smoothly with temperature. Here, we also briefly discuss potential realizations and simulations related to these phenomena in spin systems.

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Research Organization:: University of California, Merced, CA (United States)

Sponsoring Organization:: Innovation Program for Quantum Science and Technology; Jiangsu Funding Program for Excellent Postdoctoral Talent; National Natural Science Foundation of China; National Science Foundation (NSF); USDOE

Grant/Contract Number:: SC0025809

OSTI ID:: 3000366

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 23 Vol. 111; ISSN 2469-9969; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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