Robust generation of entanglement in Bose-Einstein condensates by collective atomic recoil

Abstract

We address the dynamics induced by collective atomic recoil in a Bose-Einstein condensate in presence of radiation losses and atomic decoherence. In particular, we focus on the linear regime of the lasing mechanism, and analyze the effects of losses and decoherence on the generation of entanglement. The dynamics is that of three bosons, two atomic modes interacting with a single-mode radiation field, coupled with a bath of oscillators. The resulting three-mode dissipative Master equation is solved analytically in terms of the Wigner function. We examine in details the two complementary limits of {\em high-Q cavity} and {\em bad-cavity}, the latter corresponding to the so-called superradiant regime, both in the quasi-classical and quantum regimes. We found that three-mode entanglement as well as two-mode atom-atom and atom-radiation entanglement is generally robust against losses and decoherence,thus making the present system a good candidate for the experimental observation of entanglement in condensate systems. In particular, steady-state entanglement may be obtained both between atoms with opposite momenta and between atoms and photons.

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Cited by in corpus (15)

• Quantum optics in the phase space - A tutorial on Gaussian states
• Excess noise depletion of a Bose-Einstein condensate in an optical cavity
• Rayleigh superradiance and dynamic Bragg gratings in an end-pumped Bose-Einstein condensate
• Nonlocality of two- and three-mode continuous variable systems
• Tripartite entanglement transfer from flying modes to localized qubits
• Demonstration of a bright and compact source of tripartite nonclassical light
• Gaussian tripartite entanglement out of equilibrium
• Ground-State Properties for Coupled Bose-Einstein Condensates inside a Cavity Quantum Electrodynamics
• Correlated directional atomic clouds via four-heterowave mixing
• The balance of quantum correlations for a class of feasible tripartite continuous variable states
• Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil
• Generating multiparticle entangled states by self-organization of driven ultracold atoms
• Controlled generation of momentum states in a high-finesse ring cavity
• Spontaneously induced atom-radiation entanglement in an ensemble of two-level atoms
• Stationary entanglement in N-atom subradiant degenerate cascade systems