Time-Correlated Blip Dynamics of Open Quantum Systems

Abstract

The non-Markovian dynamics of open quantum systems is still a challenging task, particularly in the non-perturbative regime at low temperatures. While the Stochastic Liouville-von Neumann equation (SLN) provides a formally exact tool to tackle this problem for both discrete and continuous degrees of freedom, its performance deteriorates for long times due to an inherently non-unitary propagator. Here we present a scheme which combines the SLN with projector operator techniques based on finite dephasing times, gaining substantial improvements in terms of memory storage and statistics. The approach allows for systematic convergence and is applicable in regions of parameter space where perturbative methods fail, up to the long time domain. Findings are applied to the coherent and incoherent quantum dynamics of two- and three-level systems. In the long time domain sequential and super-exchange transfer rates are extracted and compared to perturbative predictions.

arXiv comment13 pages, 18 figures

References in corpus (22)

• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Assessing non-Markovian dynamics
• Efficient simulation of strong system-environment interactions
• On the degree of non-Markovianity of quantum evolution
• Non-Markovian quantum jumps
• The non-Markovian stochastic Schrodinger equation for open systems
• Exact c-number Representation of Non-Markovian Quantum Dissipation
• Low-temperature dynamical simulation of spin-boson systems
• Quantum jump approach for work and dissipation in a two-level system
• Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
• Optimal control of open quantum systems: cooperative effects of driving and dissipation
• Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
• Persistence of coherent quantum dynamics at strong dissipation
• Simulating spin-boson dynamics with stochastic Liouville-von Neumann equations
• A Stochastic Liouvillian Algorithm to Simulate Dissipative Quantum Dynamics With Arbitrary Precision
• Non-Markovian Dissipative Semiclassical Dynamics
• Thermodynamic deficiencies of some simple Lindblad operators
• Path-integral Monte-Carlo simulations for electronic dynamics on molecular chains: I. Sequential hopping and super exchange
• Exact propagation of open quantum systems in a system-reservoir context
• Path-integral Monte-Carlo simulations for electronic dynamics on molecular chains: II. Transport across impurities
• Almost local generation of EPR entanglement in non-equilibrium

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• Out-of-equilibrium operation of a quantum heat engine: The cost of thermal coupling control
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• Rectification of heat currents across nonlinear quantum chains: A versatile approach beyond weak thermal contact
• Entropy augmentation through subadditive excess: information theory in irreversible processes
• Slow oscillating dynamics of a two-level system subject to a fast telegraph noise: beyond the NIBA approximation