Stochastic Feshbach Projection for the Dynamics of Open Quantum Systems
arXiv:1707.02821 · doi:10.1103/PhysRevLett.119.180401
Abstract
We present a stochastic projection formalism for the description of quantum dynamics in Bosonic or spin environments. The Schrödinger equation in coherent state representation with respect to the environmental degrees of freedom can be reformulated by employing the Feshbach partitioning technique for open quantum systems based on the introduction of suitable non-Hermitian projection operators. In this picture the reduced state of the system can be obtained as a stochastic average over pure state trajectories. The corresponding non-Markovian stochastic Schrödinger equations include a memory integral over the past states. In the case of harmonic environments and linear coupling the approach gives a new form of the established non-Markovian quantum state diffusion (NMQSD) stochastic Schrödinger equation without functional derivatives. Utilizing spin coherent states, the evolution equation for spin environments resembles the Bosonic case with, however, a non-Gaussian average for the reduced density operator.
References in corpus (7)
- Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
- Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach
- Influence of Complex Exciton-Phonon Coupling on Optical Absorption and Energy Transfer of Quantum Aggregates
- Nakajima-Zwanzig versus time-convolutionless master equation for the non-Markovian dynamics of a two-level system
- Pure-state quantum trajectories for general non-Markovian systems do not exist
- General Non-Markovian structure of Gaussian Master and Stochastic Schrödinger Equations
- Non-Markovian continuous quantum measurement of retarded observables