Thermodynamics of Spin-Imbalanced Fermi Gases with SU(N) Symmetric Interaction

• URL: http://arxiv.org/abs/2409.04960v1
• Date: Sun, 8 Sep 2024 03:33:41 GMT
• Title: Thermodynamics of Spin-Imbalanced Fermi Gases with SU(N) Symmetric Interaction
• Authors: Chengdong He, Xin-Yuan Gao, Ka Kwan Pak, Yu-Jun Liu, Peng Ren, Mengbo Guo, Entong Zhao, Yangqian Yan, Gyu-Boong Jo,
• Abstract summary: We generalize the thermodynamic study of SU($N$) fermions to spin-imbalanced configurations based on density fluctuations. Specifically, we investigate two-species and four-species configurations to validate our theoretical predictions. Our study provides a deeper understanding of the thermodynamic features of spin-imbalanced multi-component Fermi gases.
• Score: 1.5068842033306404
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Thermodynamics of degenerate Fermi gases has been extensively studied through various aspects such as Pauli blocking effects, collective modes, BCS superfluidity, and more. Despite this, multi-component fermions with imbalanced spin configurations remain largely unexplored, particularly beyond the two-component scenario. In this work, we generalize the thermodynamic study of SU($N$) fermions to spin-imbalanced configurations based on density fluctuations. Theoretically, we provide closed-form expressions of density fluctuation across all temperature ranges for general spin population setups. Experimentally, after calibrating the measurements with deeply degenerate $^{173}$Yb Fermi gases under spin-balanced configurations ($N\leq$~6), we examine the density fluctuations in spin-imbalanced systems. Specifically, we investigate two-species and four-species configurations to validate our theoretical predictions. Our analysis indicates that interaction enhancement effects can be significant even in highly spin-imbalanced systems. Finally, as an application, we use this approach to examine the decoherence process. Our study provides a deeper understanding of the thermodynamic features of spin-imbalanced multi-component Fermi gases and opens new avenues for exploring complex quantum many-body systems.

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