Quantum Hall Phases of Cold Bose Gases

TL;DR

This paper explores how cold Bose gases under rapid rotation and artificial gauge fields can simulate quantum Hall effects, analyzing phase transitions to strongly correlated states.

Contribution

It provides a theoretical analysis of phase transitions in cold Bose gases mimicking quantum Hall phases, including effects of rotation and artificial gauge fields.

Findings

Identification of conditions for quantum Hall phase emergence

Analysis of phase transitions between different correlated states

Insights into the role of artificial gauge fields in cold gases

Abstract

Cold atomic gases of interacting bosons subject to rapid rotation and confined in anharmonic traps can theoretically exhibit analogues of the fractional quantum Hall effect for electrons in strong magnetic fields. In this setting the Coriolis force due to the rotation mimics the Lorentz force on charged particles but artificial gauge fields can also be obtained by coupling the internal structure of the atoms to light fields. The chapter discusses mathematical aspects of transitions to different strongly correlated phases that appear when the parameters of a model Hamiltonian are varied.