Optically bistable driven-dissipative Bose-Hubbard dimer: Gutzwiller approaches and entanglement

Abstract

We theoretically examine the driven-dissipative Bose-Hubbard dimer in the optical bistable regime. Various approximation schemes based on a Gutzwiller mean field decoupling are applied and compared. Depending on the system parameters we show that a decoupling with respect to the real space or to the reciprocal space can be more accurate. The Gutzwiller decoupling is applied both at the level of the density matrix and for the wavefunction during a quantum trajectory simulation. The latter is shown to be a more accurate approximation. A Gaussian approximation for the non-homogeneous anti-bonding mode is also explored. We also show that entanglement in this system is witnessed by squeezing in reciprocal space.

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• Theory of classical metastability in open quantum systems
• Phenomenology of a First Order Dark State Phase Transition
• Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
• Dissipative stabilization of entangled cat states using a driven Bose-Hubbard dimer
• Gutzwiller Monte Carlo approach for a critical dissipative spin model
• Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
• Cluster Gutzwiller Monte Carlo approach for a critical dissipative spin model
• Limit Cycle Phase and Goldstone Mode in Driven Dissipative Systems
• Measurement-induced phase transitions in monitored infinite-range interacting systems
• Mapping repulsive to attractive interaction in driven-dissipative quantum systems
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• Quantum behaviour of pumped and damped triangular Bose Hubbard systems
• Bistabilities and domain walls in weakly open quantum systems
• Localization control of few-photon states in parity-symmetric photonic molecules under balanced pumping