A finite temperature study of ideal quantum gases in the presence of one dimensional quasi-periodic potential

Nilanjan Roy; S. Sinha

doi:10.1088/1742-5468/aabc7b

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arXiv · 1708.04128

A finite temperature study of ideal quantum gases in the presence of one dimensional quasi-periodic potential

Nilanjan Roy·S. Sinha

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Abstract

We study the thermodynamics of ideal Bose gas as well as the transport properties of non interacting bosons and fermions in a one dimensional quasi-periodic potential, namely Aubry-Andr\'e (AA) model at finite temperature. For bosons in finite size systems, the effect of quasi-periodic potential on the crossover phenomena corresponding to Bose-Einstein condensation (BEC), superfluidity and localization phenomena at finite temperatures are investigated. From the ground state number fluctuation we calculate the crossover temperature of BEC which exhibits a non monotonic behavior with the strength of AA potential and vanishes at the self-dual critical point following power law. Appropriate rescaling of the crossover temperatures reveals universal behavior which is studied for different quasi-periodicity of the AA model. Finally, we study the temperature and flux dependence of the persistent current of fermions in presence of a quasi-periodic potential to identify the localization at the Fermi energy from the decay of the current.

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Nilanjan Roy, S. Sinha. 2017-08-14. A finite temperature study of ideal quantum gases in the presence of one dimensional quasi-periodic potential. https://doi.org/10.1088/1742-5468/aabc7b

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