Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil
arXiv:1311.5940 · doi:10.3390/e15051875
Abstract
We study a system represented by a Bose-Einstein condensate interacting with a cavity field in presence of a strong off-resonant pumping laser. This system can be described by a three-mode Gaussian state, where two are the atomic modes corresponding to atoms populating upper and lower momentum sidebands and the third mode describes the scattered cavity field light. We show that, as a consequence of the collective atomic recoil instability, these modes possess a genuine tripartite entanglement that increases unboundedly with the evolution time and is larger than the bipartite entanglement in any reduced two-mode bipartition. We further show that the state of the system exhibits genuine tripartite nonlocality, which can be revealed by a robust violation of the Svetlichny inequality when performing displaced parity measurements. Our exact results are obtained by exploiting the powerful machinery of phase-space informational measures for Gaussian states, which we briefly review in the opening sections of the paper.
12 pages, 3 figures
References in corpus (5)
- The Quantum Internet
- Cold atoms in cavity-generated dynamical optical potentials
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
- Theory of genuine tripartite nonlocality of Gaussian states
Cited by in corpus (6)
- Quantum correlations and entanglement in a model comprised of a short chain of nonlinear oscillators
- More nonlocality with less entanglement in a tripartite atom-optomechanical system
- Theory of genuine tripartite nonlocality of Gaussian states
- Einstein-Podolsky-Rosen steering and Bell nonlocality of two macroscopic mechanical oscillators in optomechanical systems
- Violation of Bell inequalities in an analogue black hole
- Quantifying Tripartite Spatial and Energy-Time Entanglement in Nonlinear Optics