Stability and entanglement in optical-atomic amplification of trapped atoms: the role of atomic collisions

Abstract

Atomic collisions are included in an interacting system of optical fields and trapped atoms allowing field amplification. We study the effects of collisions on the system stability. Also a study of the degree of entanglement between atomic and optical fields is made. We found that, for an atomic field initially in a vacuum state and optical field in a coherent state, the degree of entanglement does not depend on the optical field intensity or phase. We show that in conditions of exponential instability the system presents at long times two distinct stationary degree of entanglement with collisions affecting only one of them.

6 pages, 4 figures, accepted by PRA

References in corpus (15)

• Scalable multi-particle entanglement of trapped ions
• Quantum Entanglement in Fermionic Lattices
• Amplification of light and atoms in a Bose--Einstein condensate
• Quantum optics of a Bose-Einstein condensate coupled to a quantized light field
• Optical control and entanglement of atomic Schroedinger fields
• Uniting Bose-Einstein condensates in optical resonators
• Effects of atomic diffraction on the Collective Atomic Recoil Laser
• Dissipative dynamics of Bose condensates in optical cavities
• Entanglement entropy and entanglement witnesses in models of strongly interacting low-dimensional fermions
• Detection and characterization of multipartite entanglement in optical lattices
• Collapse and revival of ultracold atoms in a microwave cavity and of photons in parametric down-conversion
• Continuous Measurement of Atom-Number Moments of a Bose-Einstein Condensate by Photodetection
• Manipulating the critical temperature for the superfluid phase transition in trapped atomic Fermi gases
• Cavity atom optics and the `free atom laser'
• Trap environment effects over quantum statistics and atom-photon correlations in the collective atomic-recoil laser

Cited by in corpus (4)

• Entanglement from density measurements: analytical density-functional for the entanglement of strongly correlated fermions
• Cooperative atomic scattering of light from a laser with a colored noise spectrum
• Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids
• Phase collapse and revival of a 1-mode Bose-Einstein condensate induced by an off-resonant optical probe field and superselection rules