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arXiv · 1909.13225

Finite Temperature Behaviors of q-deformed Fermi Gases

Xun Huang·Xu-Yang Hou·Yan Gong·Hao Guo
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Abstract

During the last three decades, non-standard statistics for indistinguishable quantum particles has attracted broad attentions and research interests from many institutions. Among these new types of statistics, the q-deformed Bose and Fermi statistics, originated from the study of quantum algebra, are being applied in more and more physical systems. In this paper, we construct a q-deformed generalization of the BCS-Leggett theory for ultracold Fermi gases based on our previously constructed q-deformed BCS theory. Some interesting features of this q-deformed interacting quantum gas are obtained by numerical analysis. For example, in the ordinary Bose-Einstein Condensation regime, the gas presents a fermionic feature instead of bosonic feature if the deformation parameter is tuned suitably, which might be referred to as the q-induced ``Bose-Fermi'' crossover. Conversely, a weak sign of the ``Fermi-Bose'' crossover is also found in the ordinary weak fermionic regime.

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Xun Huang, Xu-Yang Hou, Yan Gong, Hao Guo. 2019-09-29. Finite Temperature Behaviors of q-deformed Fermi Gases. https://doi.org/10.1142/s0217984919502944

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