Quantum behaviour of pumped and damped triangular Bose Hubbard systems
arXiv:1707.01000 · doi:10.1016/j.optcom.2017.07.075
Abstract
We propose and analyse analogs of optical cavities for atoms using three-well Bose-Hubbard models with pumping and losses. We consider triangular configurations. With one well pumped and one damped, we find that both the mean-field dynamics and the quantum statistics show a quantitative dependence on the choice of damped well. The systems we analyse remain far from equilibrium, preserving good coherence between the wells in the steady-state. We find quadrature squeezing and mode entanglement for some parameter regimes and demonstrate that the trimer with pumping and damping at the same well is the stronger option for producing non-classical states. Due to recent experimental advances, it should be possible to demonstrate the effects we investigate and predict.
15 pages, 8 figures, theory. arXiv admin note: text overlap with arXiv:1704.04021
References in corpus (13)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Single-Spin Addressing in an Atomic Mott Insulator
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Observation of one-way Einstein-Podolsky-Rosen steering
- Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
- Tripartite entanglement from interlinked parametric interactions
- Bright entanglement in the intracavity nonlinear coupler
- Detection of continuous variable entanglement without coherent local oscillators
- Bright bichromatic entanglement and quantum dynamics of sum frequency generation
- Continuous variable tripartite entanglement and Einstein-Podolsky-Rosen correlations from triple nonlinearities
- Asymmetric steering in coherent transport of atomic population with a three-well Bose-Hubbard model
- Pseudo steady-state non-Gaussian EPR-steering of massive particles in pumped and damped Bose-Hubbard dimers
- Finite size effects and equilibration in Bose-Hubbard chains with central well dephasing