Finite Temperature Phase Diagram in Rotating Bosonic Optical Lattice

TL;DR

This paper analytically derives the finite temperature phase boundary between superfluid and normal states in a rotating bosonic optical lattice, revealing a connection to the Hofstadter butterfly's upper boundary.

Contribution

It introduces an analytical method to determine the phase boundary at finite temperature and links the oscillation of the critical hopping matrix to the Hofstadter butterfly.

Findings

Finite temperature phase boundary derived analytically.

Oscillation of critical hopping matrix follows Hofstadter butterfly boundary.

Provides insights into stability and phase transitions in rotating optical lattices.

Abstract

Finite temperature phase boundary between superfluid phase and normal state is analytically derived by studying the stability of normal state in rotating bosonic optical lattice. We also prove that the oscillation behavior of critical hopping matrix directly follows the upper boundary of Hofstadter butterfly as the function of effective magnetic field.