Cavity optomechanics with synthetic Landau levels of ultra cold Fermi gas

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.

Minor revisions: Accepted for publication in Physical Review Letters

References in corpus (10)

• Cold atoms in cavity-generated dynamical optical potentials
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
• Landau level spectroscopy of ultrathin graphite layers
• Cavity Opto-Mechanics with a Bose-Einstein Condensate
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Cavity Nonlinear Optics at Low Photon Numbers from Collective Atomic Motion
• Spin Hall effects for cold atoms in a light induced gauge potential
• Optical Flux Lattices for Ultracold Atomic Gases
• Photoluminescence spectrum of an interacting two-dimensional electron gas at ν=1

Cited by in corpus (8)

• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Fermionic Superradiance in a Transversely Pumped Optical Cavity
• Ultracold Spin-Orbit Coupled Bose-Einstein Condensate in a Cavity: Route to Magnetic Phases Through Cavity Transmission
• Localization driven superradiant instability
• Vortex Dynamics of Rotating Bose-Einstein Condensate of Microcavity Polaritons
• Nonclassical correlated optical multistability at low photon level for cavity electromagnetically induced transparency
• Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field
• Landau Quantization for $\Lambda$-Type Neutral Atoms in an Homogeneous Spin-Dependent Gauge Potential