Document Type
Article
Publication Date
8-1-2020
Publication Title
Physical Review A
Abstract
We characterize the high-temperature thermodynamics of rotating bosons and fermions in two-dimensional (2D) and three-dimensional (3D) isotropic harmonic trapping potentials. We begin by calculating analytically the conventional virial coefficients bn for all n in the noninteracting case, as functions of the trapping and rotational frequencies. We also report on the virial coefficients for the angular momentum and associated moment of inertia. Using the bn coefficients, we analyze the deconfined limit (in which the angular frequency matches the trapping frequency) and derive explicitly the limiting form of the partition function, showing from the thermodynamic standpoint how both the 2D and 3D cases become effectively homogeneous 2D systems. To tackle the virial coefficients in the presence of weak interactions, we implement a coarse temporal lattice approximation and obtain virial coefficients up to third order.
Volume
102
Issue
2
DOI
10.1103/PhysRevA.102.023309
ISSN
24699926
Rights
©2020 American Physical Society
Recommended Citation
Berger, Casey E.; Morrell, K. J.; and Drut, J. E., "Thermodynamics of Rotating Quantum Matter in the Virial Expansion" (2020). Physics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/phy_facpubs/100
Comments
Archived as published.