Coupled dynamics of atoms and radiation pressure driven interferometers

Abstract

We consider the motion of the end mirror of a cavity in whose standing wave mode pattern atoms are trapped. The atoms and the light field strongly couple to each other because the atoms form a distributed Bragg mirror with a reflectivity that can be fairly high. We analyze how the dipole potential in which the atoms move is modified due to this backaction of the atoms. We show that the position of the atoms can become bistable. These results are of a more general nature and can be applied to any situation where atoms are trapped in an optical lattice inside a cavity and where the backaction of the atoms on the light field cannot be neglected. We analyze the dynamics of the coupled system in the adiabatic limit where the light field adjusts to the position of the atoms and the light field instantaneously and where the atoms move much faster than the mirror. We calculate the side band spectrum of the light transmitted through the cavity and show that these spectra can be used to detect the coupled motion of the atoms and the mirror.

11 pages; 13 figures; two added references and other minor corrections

References in corpus (7)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Towards quantum superpositions of a mirror
• Cooling of a mirror by radiation pressure
• Laser cooling of a nanomechanical resonator mode to its quantum ground state
• Quantum limits of cold damping with optomechanical coupling
• Quantum noise in the position measurement of a cavity mirror undergoing Brownian motion
• Macroscopic mechanical oscillators at the quantum limit using optomechanical cooling

Cited by in corpus (26)

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• Multi-Stability of Electromagnetically Induced Transparency in Atom-Assisted Optomechanical Cavities
• Single-Atom Cavity QED and Opto-Micromechanics
• Hybrid Mechanical Systems
• Cavity Quantum Optomechanics of Ultracold Atoms in an Optical Lattice: Normal-Mode Splitting
• The Super-Strong Coupling Regime of Cavity Quantum Electrodynamics
• Qantum theory of optomechanical cooling
• Coupling ultracold atoms to mechanical oscillators
• Cavity-Enhanced Long-Distance Coupling of an Atomic Ensemble to a Micromechanical Membrane
• Steady-state entanglement of a Bose-Einstein condensate and a nanomechanical resonator
• First-order coherence versus entanglement in a nano-mechanical cavity
• Hybrid cavity mechanics with doped systems
• Quantum noise reduction using a cavity with a Bose Einstein condensate
• Nonequilibrium Quantum Phase Transition in a Hybrid Atom-Optomechanical System
• Quantum Optomechanics with Single Atom
• Cavity Optomechanics with a Bose-Einstein Condensate: Normal Mode Splitting
• Optomechanical effect on the Dicke quantum phase transition and quasi-particle damping in a Bose-Einstein Condensate: A new tool to measure weak force
• Nonreciprocal transmission in hybrid atomic ensemble-optomechanical systems
• Dynamics of quantum-classical hybrid system: effect of matter-wave pressure
• Opto-mechanical effects in self-organization of a Bose-Einstein condensate in an optical cavity
• Quantum decoherence of an anharmonic oscillator monitored by a Bose-Einstein condensate
• Light-matter interactions in multi-element resonators