Universality in rotating strongly interacting gases

TL;DR

This paper analytically investigates two interacting particles in a rotating harmonic trap, revealing universal energy behavior in the strongly interacting regime and how entropy varies with rotation or magnetic field strength.

Contribution

It provides an analytical solution for the properties of two particles under rotation, highlighting universal energy characteristics and entropy dependence in strongly interacting systems.

Findings

Energy is universal in the strongly interacting regime.

Entropy varies with rotation or magnetic field strength.

Thermodynamic quantities are calculated using quantum cluster expansion.

Abstract

We analytically determine the properties of two interacting particles in a harmonic trap subject to a rotation or a uniform synthetic magnetic field, where the spherical symmetry of the relative Hamiltonian is preserved. Thermodynamic quantities such as the entropy and energy are calculated via the second order quantum cluster expansion. We find that in the strongly interacting regime the energy is universal, however the entropy changes as a function of the rotation or synthetic magnetic field strength.