Using the Environment to Understand non-Markovian Open Quantum Systems

Abstract

Tracing out the environmental degrees of freedom is a necessary procedure when simulating open quantum systems. While being an essential step in deriving a tractable master equation it represents a loss of information. In situations where there is strong interplay between the system and environmental degrees of freedom this loss makes understanding the dynamics challenging. These dynamics, when viewed in isolation, have no time-local description: they are non-Markovian and memory effects induce complex features that are difficult to interpret. To address this problem, we here show how to use system correlations, calculated by any method, to infer any correlation function of a Gaussian environment, so long as the coupling between system and environment is linear. This not only allows reconstruction of the full dynamics of both system and environment, but also opens avenues into studying the effect of a system on its environment. In order to obtain accurate bath dynamics, we exploit a numerically exact approach to simulating the system dynamics, which is based on the construction and contraction of a tensor network that represents the process tensor of this open quantum system. Using this we are able to find any system correlation function exactly. To demonstrate the applicability of our method we show how heat moves between different modes of a bosonic bath when coupled to a two-level system that is subject to an off-resonant drive.

11+8 pages, 4+2 figures

References in corpus (10)

• The density-matrix renormalization group in the age of matrix product states
• Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
• Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
• Numerically exact open quantum systems simulations for arbitrary environments using automated compression of environments
• Exploiting structured environments for efficient energy transfer: The phonon antenna mechanism
• Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems
• Exact dynamics of non-additive environments in non-Markovian open quantum systems
• Numerical evaluation and robustness of the quantum mean force Gibbs state
• Excitation dynamics in chain-mapped environments
• Uncovering nonperturbative dynamics of the biased sub-Ohmic spin-boson model with variational Matrix Product States

Cited by in corpus (32)

• Exact dynamics of non-additive environments in non-Markovian open quantum systems
• Grassmann Time-Evolving Matrix Product Operators for Quantum Impurity Models
• OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
• Geometric-Arithmetic Master Equation in Large and Fast Open Quantum Systems
• Invasiveness of non-equilibrium quantum thermometry
• Dynamics of a strongly coupled quantum heat engine -- computing bath observables from the hierarchy of pure states
• Heat Current in Non-Markovian Open Systems
• Grassmann Time-Evolving Matrix Product Operators for Equilibrium Quantum Impurity Problems
• Non-Markovian skin effect
• Real-time Impurity Solver Using Grassmann Time-Evolving Matrix Product Operators
• Process tensor approaches to modeling two-dimensional spectroscopy
• Infinite Grassmann Time-Evolving Matrix Product Operator Method in the Steady State
• Pseudomode treatment of strong-coupling quantum thermodynamics
• Non-Markovian to Markovian decay in structured environments with correlated disorder
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Efficient construction of the Feynman-Vernon influence functional as matrix product states
• Quantum processes as thermodynamic resources: the role of non-Markovianity
• Capturing long-range memory structures with tree-geometry process tensors
• Unifying methods for optimal control in non-Markovian quantum systems via process tensors
• Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
• Relations between Markovian and non-Markovian correlations in multitime quantum processes
• Nonequilibrium quantum heat transport between structured environments
• Understanding and utilizing the inner bonds of process tensors
• Path Integral Formalism for Quantum Open Systems
• Infinite Grassmann time-evolving matrix product operator method for zero-temperature equilibrium quantum impurity problems
• Input-Output Hierarchical Equations Of Motion
• Local energy assignment for two interacting quantum thermal reservoirs
• Non-Markovian effects in long-range polariton-mediated energy transfer
• Process tensor distinguishability measures
• Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
• Extracting Coupling-Mode Spectral Densities with Two-Dimensional Electronic Spectroscopy
• Uniform process tensor approach for the calculation of multi-time correlation functions of non-Markovian open systems