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

Fuente: arXiv
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Autori principali: He, Chengdong, Gao, Xin-Yuan, Pak, Ka Kwan, Liu, Yu-Jun, Ren, Peng, Guo, Mengbo, Zhao, Entong, Yan, Yangqian, Jo, Gyu-Boong
Natura: Preprint
Pubblicazione: 2024
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author He, Chengdong
Gao, Xin-Yuan
Pak, Ka Kwan
Liu, Yu-Jun
Ren, Peng
Guo, Mengbo
Zhao, Entong
Yan, Yangqian
Jo, Gyu-Boong
author_facet He, Chengdong
Gao, Xin-Yuan
Pak, Ka Kwan
Liu, Yu-Jun
Ren, Peng
Guo, Mengbo
Zhao, Entong
Yan, Yangqian
Jo, Gyu-Boong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_04960
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Thermodynamics of Spin-Imbalanced Fermi Gases with SU(N) Symmetric Interaction
He, Chengdong
Gao, Xin-Yuan
Pak, Ka Kwan
Liu, Yu-Jun
Ren, Peng
Guo, Mengbo
Zhao, Entong
Yan, Yangqian
Jo, Gyu-Boong
Quantum Gases
Atomic Physics
Quantum Physics
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.
title Thermodynamics of Spin-Imbalanced Fermi Gases with SU(N) Symmetric Interaction
topic Quantum Gases
Atomic Physics
Quantum Physics
url https://arxiv.org/abs/2409.04960