Time-Local Quantum-State-Diffusion Equation for Multilevel Quantum Dynamics

Abstract

An open quantum system with multiple levels coupled to a bosonic environment at zero temperature is investigated systematically using the non-Markovian quantum-state-diffusion (QSD) method [W. T. Strunz, L. Diósi, and N. Gisin, Phys. Rev. Lett. 82, 1801 (1999)]. We have established exact time-local QSD equations for a set of interesting multilevel open systems, including high-spin systems, multiple-transition atomic models, and multilevel atomic models driven by time-dependent external fields. These exact QSD equations have paved the way to evaluate the dynamics of open multilevel atomic systems in the general non-Markovian regimes without any approximation.

7 pages, 3 figures, 1 table

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• Environment-assisted holonomic quantum maps
• Non-Markovian quantum state diffusion for an open quantum system in fermionic environments
• Non-Markovian Quantum Trajectories of Many-Body Quantum Open Systems
• Approach to solving spin-boson dynamics via non-Markovian quantum trajectories
• Higher-order solutions to non-Markovian quantum dynamics via hierarchical functional derivative
• Perturbation Methods for Non-Markovian Quantum State Diffusion Equation
• Dynamical invariants in non-Markovian quantum state diffusion equation
• Memory-induced geometric phase in non-Markovian open systems
• Quantum Langevin approach for non-Markovian quantum dynamics of the spin-boson model
• Time-local unraveling of non-Markovian stochastic Schrödinger equations
• Symmetries of general non-Markovian Gaussian diffusive unravelings
• Accessing the bath information in open quantum systems with the stochastic c-number Langevin equation method
• Geometric decoherence in diffusive open quantum systems
• Non-Markovian environment induced chaos in optomechanical system
• Jaynes-Cummings atoms coupled to a structured environment: Leakage elimination operators and the Petz recovery maps
• Giant atoms coupled to waveguide: Continuous coupling and multiple excitations