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Modeling the non-equilibrium dissipative dynamics of strongly interactingquantized degrees of freedom is a fundamental problem in several branches ofphysics and chemistry. We implement a quantum state trajectory scheme forsolving Lindblad quantum master equations that describe coherent anddissipative processes for a set of strongly-coupled quantized oscillators. Thescheme involves a sequence of stochastic quantum jumps with transitionprobabilities determined the system state and the system-reservoir dynamics.Between consecutive jumps, the wavefunction is propagated in coordinate spaceusing the multi-configuration time-dependent Hartree (MCTDH) method. We comparethis hybrid propagation methodology with exact Liouville space solutions forphysical systems of interest in cavity quantum electrodynamics, demonstratingaccurate results for experimentally relevant observables using a tractablenumber of quantum trajectories. We show the potential for solving thedissipative dynamics of finite size arrays of strongly interacting quantizedoscillators with high excitation densities, a scenario that is challenging forconventional density matrix propagators due to the large dimensionality of theunderlying Hilbert space.

Open quantum dynamics of strongly coupled oscillators with multi-configuration time-dependent Hartree propagation and Markovian quantum jumps