Open System Dynamics with Non-Markovian Quantum Trajectories

1998/03/27 by Walter T. Strunz, Walter T Strunz, Lajos Diosi +2 · 13 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1103/physrevlett.82.1801

published as Phys.Rev.Lett. 82 (1999) 1801-1805 · 4 pages RevTeX, 3 figures

arxiv created 1998/03/27 · openalex publication_date 1999/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A non-Markovian stochastic Schr"odinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. The ensemble average recovers the reduced density matrix without approximation and hence it allows one to determine open system dynamics with strong and non-Markovian environmental effects in a very efficient way. We demonstrate the power of our approach with several illustrative examples. First, we discuss a measurement-type situation, then a two-state system strongly coupled to a non-Markovian environment, exhibiting decays and revivals. Further examples showing the remarkable features of our new approach to non-Markovian open system dynamics are discussed, for instance, the possibility to shift the ``Heisenberg cut'' between system and environment.

Citations

• Non-Markovian Quantum State Diffusion
• Linear quantum state diffusion for non-Markovian open quantum systems
• Quantum jumps as decoherent histories
• Equation of State Calculations by Fast Computing Machines

Cited by

• Real-time Monte-Carlo simulations for dissipative tight-binding systems and time local master equations
• Effects of relative phase and interactions on atom-laser outcoupling from a double-well Bose–Einstein condensate: Markovian and non-Markovian dynamics
• Proposed method for direct measurement of the non-Markovian character of the qubits coupled to bosonic reservoirs
• Linear-algebraic bath transformation for simulating complex open quantum systems
• Scaling of non-Markovian Monte Carlo wave-function methods
• Efficient optimization of state preparation in quantum networks using quantum trajectories
• Non-Markovian quantum repeated interactions and measurements
• Counting statistics of photon emissions detected in non-Markovian environment
• Environmentally Induced Entanglement – Anomalous Behavior in the Adiabatic Regime
• Nonlocal magnon entanglement generation in coupled hybrid cavity systems
• Quantum approach to coupling classical and quantum dynamics
• Collapse models with non-white noises
• General framework for the behaviour of continuously observed open quantum systems