Tan's Contact for Trapped Spin-Orbit-Coupled Fermi Gases at Finite Temperature
Abstract
Tan's contact, bridging microscopic features of many-body quantum systems to two-body contact interactions, is pivotal in the description of quantum gases. However, past studies of Tan's contact of the spin-orbit coupled Fermi gases have been exclusively discussed at zero temperature. The thermal effects on that, which cannot be neglected in most experimental conditions, has not been explored so far. Here, through a path integral Monte Carlo (PIMC) study, we show that thermal effects fundamentally alter the scaling relation between spin-orbit coupling (SOC) and Tan's contact. The linear scaling of Tan's contact with respect to the strength of SOC found at zero temperature is drastically undermined by the thermal effects. And a new mechanism based on the competition between the mean occupancy and the energy-reweighted occupancy of the opposite spin fermion pairs within the interaction range has been unveiled, which radically changes the above linear scaling to a non-monotonic dependence. Our work should be useful for future experiments to explore the preternatural thermal effects on Tan's contact of the strongly interacting spin-orbit-coupled Fermi gas.
Related
- Condensation temperature and magnetic phases of trapped coherently coupled Bose gases
- Characterizing supersolid phase transitions in trapped quantum gases with tilted dipoles at finite temperature
- A coupled finite element formulation for chemo-mechano-thermodynamical contact and its application to bonding and debonding
- The distribution of the moment of inertia for harmonically trapped noninteracting Bosons at finite temperature: Large deviations
- Canonical-ensemble scaling of Tan's contact in the trapped Tonks--Girardeau gas
BibTeX
@misc{wu2026tans,
title = {{Tan's Contact for Trapped Spin-Orbit-Coupled Fermi Gases at Finite Temperature}},
author = {Tianhao Wu and Yuanbang Wei and Rui Tian and Dongdong Pu and Beizhi Chen and Qihang Ying and Hongyan Shi and Yue Zhang and Shuai Li and Bo Liu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38512},
eprint = {2610.38512},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38512},
}
RIS
TY - UNPB
TI - Tan's Contact for Trapped Spin-Orbit-Coupled Fermi Gases at Finite Temperature
AU - Tianhao Wu
AU - Yuanbang Wei
AU - Rui Tian
AU - Dongdong Pu
AU - Beizhi Chen
AU - Qihang Ying
AU - Hongyan Shi
AU - Yue Zhang
AU - Shuai Li
AU - Bo Liu
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38512
UR - https://arxiv.org/abs/2610.38512
AB - Tan's contact, bridging microscopic features of many-body quantum systems to two-body contact interactions, is pivotal in the description of quantum gases. However, past studies of Tan's contact of the spin-orbit coupled Fermi gases have been exclusively discussed at zero temperature. The thermal effects on that, which cannot be neglected in most experimental conditions, has not been explored so far. Here, through a path integral Monte Carlo (PIMC) study, we show that thermal effects fundamentally alter the scaling relation between spin-orbit coupling (SOC) and Tan's contact. The linear scaling of Tan's contact with respect to the strength of SOC found at zero temperature is drastically undermined by the thermal effects. And a new mechanism based on the competition between the mean occupancy and the energy-reweighted occupancy of the opposite spin fermion pairs within the interaction range has been unveiled, which radically changes the above linear scaling to a non-monotonic dependence. Our work should be useful for future experiments to explore the preternatural thermal effects on Tan's contact of the strongly interacting spin-orbit-coupled Fermi gas.
ER -