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Virial Coefficients from Unified Statistical Thermodynamics of quantum gases Trapped under Generic Power Law Potential in d Dimension and Equivalence of quantum gases

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Communications in Theoretical Physics 2016年第9期65卷 291-296页

作者： Shah Mohammad Bahauddin Mir Mehedi Faruk Physics and Astronomy Rice University Houston USA Theoretical Physics Blackett Laboratory Imperial College London SW7 2AZ United Kingdom Department of Theoretical Physics University of Dhaka Dhaka-1000 Banglagesh

From the unified statistical thermodynamics of quantum gases, the virial coefficients of ideal Bose and Fermi gases, trapped under generic power law potential are derived systematically. From the general result of virial coefficients, one can produce the known results in d = 3 and d = 2. But more importantly we found that, the virial coefficients of Bose and Fermi gases become identical(except the second virial coefficient, where the sign is different)when the gases are trapped under harmonic potential in d = 1. This result suggests the equivalence between Bose and Fermi gases established in d = 1(J. Stat. Phys. DOI 10.1007/s10955-015-1344-4). Also, it is found that the virial coefficients of two-dimensional free Bose(Fermi) gas are equal to the virial coefficients of one-dimensional harmonically trapped Bose(Fermi) gas.

关键词： virial coefficients quantum gas equivalence

Padéapproximant approach to singular properties of quantum gases:the ideal cases

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Communications in Theoretical Physics 2021年第6期73卷 131-139页

作者： Yuan-Hong Tian Wen-Du Li Yao Shen Wu-Sheng Dai Department of Physics Tianjin UniversityTianjin 300350China College of Physics and Materials Science Tianjin Normal UniversityTianjin 300387China School of Criminal Investigation and Forensic Science People's Public Security University of ChinaBeijing 100038China

In this paper,we show how to recover the low-temperature and high-density information of ideal quantum gases from the high-temperature and low-density approximation by the Padé*** virial expansion is a high-temperature and low-density expansion and in practice,often,only the first several virial coefficients can be *** Bose gases,we determine the BEC phase transition from a truncated virial *** Fermi gases,we recover the low-temperature and high-density result from the virial expansion.

关键词： approximate analytic continuation virial expansion Padéapproximant quantum gas

Superfluid phases and excitations in a cold gas of d-wave interacting bosonic atoms and molecules

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Chinese Physics B 2021年第6期30卷 463-468页

作者： Zehan Li Jian-Song Pan W Vincent Liu Department of Physics and Astronomy University of PittsburghPittsburghPA 15260USA Wilczek quantum Center School of Physics and Astronomy and T.D.Lee InstituteShanghai Jiao Tong UniversityShanghai 200240China

Motivated by recent advances in orbitally tuned Feshbach resonance experiments, we analyze the ground-state phase diagram and related low-energy excitation spectra of a d-wave interacting Bose gas. A two-channel model with d-wave symmetric interactions and background s-wave interactions is adopted to characterize the gas. The ground state is found to have three interesting superfluid phases: atomic, molecular, and atomic–molecular. In great contrast to what was previously known about the p-wave case, the atomic superfluid is found to be momentum-independent for the d-wave case discussed here. The Bogoliubov spectra above each superfluid phase are obtained both analytically and numerically.

关键词： d-wave interaction quantum gas Bogoliubov spectrum superfluid