Cavity optomechanics with synthetic Landau levels of ultra cold Fermi gas

TL;DR

This paper explores how ultra cold fermionic atoms in synthetic magnetic fields interact with light in a cavity, revealing analogues of electronic Landau level phenomena and optical bistability.

Contribution

It introduces a theoretical framework for cavity optomechanics with fermionic Landau levels, deriving an effective Hamiltonian and analyzing cavity transmission spectra.

Findings

Cavity transmission spectrum shows Landau level oscillations similar to Subnikov de Hass oscillations.

Demonstrates optical bistability in the system.

Provides experimental predictions for observing these phenomena.

Abstract

Ultra cold fermionic atoms placed in a synthetic magnetic field arrange themselves in Landau levels. We theoretically study the optomechanical interaction between the light field and collective excitations of such fermionic atoms in synthetic magnetic field by placing them in side a Fabry Perot cavity. We derive the effective hamiltonian for particle hole excitations from a filled Landau level using a bosonization technique and obtain an expression for the cavity transmission spectrum. Using this we show that the cavity transmission spectrum demonstrates cold atom analogue of Subnikov de Hass oscillation in electronic condensed matter systems. We discuss the experimental consequences for this oscillation for such system and the related optical bistability.