Filled Landau levels in neutral quantum gases

TL;DR

This paper explores how to realize and detect the Integer Quantum Hall Effect in neutral atomic gases using light-induced effective magnetic fields, focusing on filled Landau levels and their incompressibility.

Contribution

It demonstrates a method to simulate Landau levels in neutral gases and discusses measurement techniques for their incompressible quantum states.

Findings

Successfully creates effective magnetic fields in neutral gases.

Identifies signatures of filled Landau levels.

Proposes measurement methods for incompressibility.

Abstract

We consider the signatures of the Integer Quantum Hall Effect in a degenerate gas of electrically neutral atomic fermions. An effective magnetic field is achieved by applying two incident light beams with a high orbital angular momentum. We show how states corresponding to completely filled Landau levels are obtained and discuss various possibilities to measure the incompressible nature of the trapped two-dimensional gas