Exact propagation of open quantum systems in a system-reservoir context

Abstract

A stochastic representation of the dynamics of open quantum systems, suitable for non-perturbative system-reservoir interaction, non-Markovian effects and arbitrarily driven systems is presented. It includes the case of driving on timescales comparable to or shorter than the reservoir correlation time, a notoriously difficult but relevant case in the context of quantum information processing and quantum thermodynamics. A previous stochastic approach is re-formulated for the case of finite reservoir correlation and response times, resulting in a numerical simulation strategy exceeding previous ones by orders of magnitude in efficiency. Although the approach is based on a memory formalism, the dynamical equations propagated in the simulations are time-local. This leaves a wide range of choices in selecting the system to be studied and the numerical method used for propagation. For a series of tests, the dynamics of the spin-boson system is computed in various settings including strong external driving and Landau-Zener transitions.

arXiv comment7 pages, 4 figures. v2: inset in Fig. 2 and some text added, further references. v3: minor corrections

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• A quantum-classical decomposition of Gaussian quantum environments: a stochastic pseudomode model
• Rectification of heat currents across nonlinear quantum chains: A versatile approach beyond weak thermal contact
• Simulating optical linear absorption for mesoscale molecular aggregates: an adaptive hierarchy of pure states approach
• Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
• A Variance Reduction Technique for the Stochastic Liouville-von Neuman Equation
• Time-Correlated Blip Dynamics of Open Quantum Systems
• On stability issues of the HEOM method
• MLQD: A package for machine learning-based quantum dissipative dynamics
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• Entropy augmentation through subadditive excess: information theory in irreversible processes
• Path-Integral Approach to Quantum Acoustics