Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems

Abstract

We construct a class of variational methods for the study of open quantum systems based on Gaussian ansatzes for the quantum trajectory formalism. Gaussianity in the conjugate position and momentum quadratures is distinguished from Gaussianity in density and phase. We apply these methods to a driven-dissipative Kerr cavity where we study dephasing and the stationary states throughout the bistability regime. Computational cost proves to be similar to the truncated Wigner (TWA) method, with at most quadratic scaling in system size. Meanwhile, strong correspondence with the numerically exact trajectory description is maintained so that these methods contain more information on the ensemble constitution than TWA and can be more robust.

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• Optimal stochastic unraveling of disordered open quantum systems: application to driven-dissipative photonic lattices
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• Classical critical dynamics in quadratically driven Kerr resonators
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• Measurement-induced phase transitions in monitored infinite-range interacting systems
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• Gaussian trajectory description of fragmentation in an isolated spinor condensate
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• Trajectory-Resolved Weiss Fields for Quantum Spin Dynamics
• Robust Negativity in the Quantum-to-Classical Transition of Kerr Dynamics
• Generalized stochastic spin-wave theory for open quantum spin systems
• Gaussian approximation and its corrections for driven dissipative Kerr model