Quantum behaviour of pumped and damped triangular Bose–Hubbard systems

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 o...

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Bibliographic Details
Published in:Optics communications 2017-12, Vol.405, p.29-34
Main Authors: Chianca, C.V., Olsen, M.K.
Format: Article
Language:English
Subjects:
Bose–Hubbard model
Entanglement
Pumped and damped
Squeezing
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Summary: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. •Damped at chosen well, others undamped.•Features not available with optical systems.•Atomic squeezing and entanglement in steady state.•Non-classical behaviour.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2017.07.075