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

Abstract

Modeling the non-equilibrium dissipative dynamics of strongly interacting quantized degrees of freedom is a fundamental problem in several branches of physics and chemistry. We implement a quantum state trajectory scheme for solving Lindblad quantum master equations that describe coherent and dissipative processes for a set of strongly-coupled quantized oscillators. The scheme involves a sequence of stochastic quantum jumps with transition probabilities determined the system state and the system-reservoir dynamics. Between consecutive jumps, the wavefunction is propagated in coordinate space using the multi-configuration time-dependent Hartree (MCTDH) method. We compare this hybrid propagation methodology with exact Liouville space solutions for physical systems of interest in cavity quantum electrodynamics, demonstrating accurate results for experimentally relevant observables using a tractable number of quantum trajectories. We show the potential for solving the dissipative dynamics of finite size arrays of strongly interacting quantized oscillators with high excitation densities, a scenario that is challenging for conventional density matrix propagators due to the large dimensionality of the underlying Hilbert space.

Simplified Fig. 6. Expanded references. Improved text for clarity

References in corpus (14)

• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Multilayer multi-configuration time-dependent Hartree method: implementation and applications to a Henon-Heiles Hamiltonian and to pyrazine
• Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
• Variational principle for steady states of dissipative quantum many-body systems
• Open system dynamics with non-Markovian quantum jumps
• A Short Introduction to Numerical Linked-Cluster Expansions
• Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum Monte Carlo studies
• Resolution of Gauge Ambiguities in Molecular Cavity Quantum Electrodynamics
• Perspective: Quantum Hamiltonians for Optical Interactions
• Strong coupling with light enhances the photoisomerization quantum yield of azobenzene
• Exciton transport in thin-film cyanine dye J-aggregates
• Entangled Photonic-Nuclear Molecular Dynamics of LiF in Quantum Optical Cavities
• Semi-empirical Quantum Optics for Mid-Infrared Molecular Nanophotonics

Cited by in corpus (2)

• The role of dephasing for dark state coupling in a molecular Tavis-Cummings model
• Correspondence between open bosonic systems and stochastic differential equations