Finite Temperature Behaviors of q-deformed Fermi Gases

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.

8 pages, 4 figures

References in corpus (8)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit
• Shear viscosity and damping for a Fermi gas in the unitarity limit
• Shear viscosity of a universal Fermi gas near the superfluid phase transition
• Is a gas of strongly interacting atomic fermions a nearly perfect fluid?
• Quantum critical transport in the unitary Fermi gas
• A comparative study on q-deformed fermion oscillators
• Medium effects and the shear viscosity of the dilute Fermi gas away from the conformal limit