17-22 July 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

Thermodynamic characteristics of ideal quantum gases in harmonic potentials within exact and semiclassical approaches

Not scheduled
1h 30m
Abstract of recent or ongoing work (by remote / virtual participant) Degenerate gases, many-body physics, and quantum simulation Abstracts by remote participants

Description

We theoretically examine equilibrium properties of the harmonically trapped ideal Bose and Fermi gases in the quantum degeneracy regime. We analyze thermodynamic characteristics of gases with a finite number of atoms by means of the known semiclassical approach and perform comparison with exact numerical results. For a Fermi gas, we demonstrate deviations in the Fermi energy values originating from a discrete level structure and show that these are observable only for a small number of particles. For a Bose gas, we observe characteristic softening of phase transition features, which contrasts to the semiclassical predictions and related approximations. We provide a more accurate methodology of determining corrections to the critical temperature due to finite number of particles.

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Presenter name Elvira Bilokon

Primary authors

Alexander Peletminskii (Karazin Kharkiv National University, Akhiezer Institute for Theoretical Physics, NSC KIPT) Andrii Sotnikov (Karazin Kharkiv National University, Akhiezer Institute for Theoretical Physics, NSC KIPT) Elvira Bilokon (Karazin Kharkiv National University, Akhiezer Institute for Theoretical Physics, NSC KIPT) Ms Valeriia Bilokon (Karazin Kharkiv National University, Akhiezer Institute for Theoretical Physics, NSC KIPT)

Presentation Materials

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