Efficient simulation of non-Markovian system-environment interaction

Abstract

In this work, we combine an established method for open quantum systems -- the time evolving density matrix using orthogonal polynomials algorithm (TEDOPA) -- with the transfer tensors formalism (TTM), a new tool for the analysis, compression and propagation of non-Markovian processes. This enables the investigation of previously inaccessible long-time dynamics, such as those ensuing from low temperature regimes with arbitrary, possibly highly structured, spectral densities. We briefly introduce both methods, followed by a benchmark to prove viability and combination synergies. Subsequently we illustrate the capabilities of this approach at the hand of specific examples and conclude our analysis by highlighting possible further applications of our method.

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• Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
• An introduction to operational quantum dynamics
• The Structure of Quantum Stochastic Processes with Finite Markov Order
• A Unified Stochastic Formulation of Dissipative Quantum Dynamics. II. Beyond Linear Response of Spin Baths
• Initial System-Environment Correlations via the Transfer Tensor Method
• Boundary time crystals in collective $d$-level systems
• Tomographically reconstructed master equations for any open quantum dynamics
• Digital quantum simulation of many-body non-Markovian dynamics
• Constructing Tensor Network Influence Functionals for General Quantum Dynamics
• From quantum heat engines to laser cooling: Floquet theory beyond the Born-Markov approximation
• Periodically refreshed baths to simulate open quantum many-body dynamics
• Environmental non-additivity and Franck-Condon physics in non-equilibrium quantum systems
• Matrix product state formulation of the multiconfiguration time-dependent Hartree theory
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• Ultrafast Energy Transfer with Competing Channels: Non-equilibrium Foerster and Modified Redfield Theories
• Experimental and theoretical investigation of a multi-mode cooling scheme using multiple EIT resonances
• Quantum light-matter interaction and controlled phonon scattering in a photonic Fano cavity
• Electron pumping in the strong coupling and non-Markovian regime: A reaction coordinate mapping approach
• Steady state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs
• Systematic coarse-graining of environments for the non-perturbative simulation of open quantum systems
• A discrete memory-kernel for multi-time correlations in non-Markovian quantum processes
• Probing non-Markovian quantum dynamics with data-driven analysis: Beyond "black-box" machine learning models
• Enhanced TEMPO algorithm for quantum path integrals with off-diagonal system-bath coupling: applications to photonic quantum networks
• Non-Markovian Memory Strength Bounds Quantum Process Recoverability
• Convergence guarantees for discrete mode approximations to non-Markovian quantum baths
• Quantum Critical Probing and Simulation of Colored Quantum Noise
• Compact and complete description of non-Markovian dynamics
• Fast Algorithms of Bath Calculations in Simulations of Quantum System-Bath Dynamics
• Thermalization with detailed-balanced two-site Lindblad dissipators
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• Transfer-tensor description of memory effects in open-system dynamics and multi-time statistics
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• A hierarchical equations of motion (HEOM) analog for systems with delay: illustrated on inter-cavity photon propagation
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• Extracting Dynamical Maps of Non-Markovian Open Quantum Systems
• Non-Markovian Quantum Heat Statistics with the Reaction Coordinate Mapping
• Spectral Density Modulation and Universal Markovian Closure of Fermionic Environments
• Accelerating two-dimensional electronic spectroscopy simulations with a probe qubit protocol
• Energy Transfer Times in Fluorographene-based Biomimetic Light Harvesting Antennae
• Path integral Lindblad master equation through transfer tensor method & the generalized quantum master equation
• Non-Markovianity and memory of the initial state
• Compact representation and long-time extrapolation of real-time data for quantum systems using the ESPRIT algorithm
• Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature
• Simulation of Open Quantum Dynamics with Bootstrap-Based Long Short-Term Memory Recurrent Neural Network
• Perturbation theory under the truncated Wigner approximation reveals how system-environment entanglement formation drives quantum decoherence
• paces: Parallelized Application of Co-Evolving Subspaces, a method for computing quantum dynamics on GPUs
• Making Non-Markovian master equations accessible with approximate environments
• Effective Hamiltonian approach to the exact dynamics of open system by complex discretization approximation for environment