Periodically refreshed baths to simulate open quantum many-body dynamics

Abstract

Obtaining dynamics of an interacting quantum many-body system connected to multiple baths initially at different, finite, temperatures and chemical potentials is a challenging problem. This is due to a combination of the prevalence of strong correlations in the system, the infinite nature of the baths and the long time to reach steady state. In this work we develop a general formalism that allows access to the full non-Markovian dynamics of such open quantum many-body systems up to the non-equilibrium steady state (NESS), provided its uniqueness. Specifically, we show how finite-time evolution in presence of finite-sized baths, whose opportune size is determined by their original spectral density, can be recursively used to faithfully reconstruct the exact dynamics without requiring any small parameter. Such a reconstruction is possible even in parameter regimes which would otherwise be inaccessible by current state-of-the-art techniques. We specifically demonstrate this by obtaining the full numerically exact non-Markovian dynamics of interacting fermionic chains in two terminal set-ups with finite temperature and voltage biases, a problem which previously remained outstanding despite its relevance in a wide range of contexts, for example, quantum heat engines and refrigerators.

References in corpus (77)

• The density-matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• The role of quantum information in thermodynamics --- a topical review
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Time-evolution methods for matrix-product states
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Efficient simulation of strong system-environment interactions
• Finite-temperature transport in one-dimensional quantum lattice models
• Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Spin diffusion from an inhomogeneous quench in an integrable system
• Minimally Entangled Typical Thermal State Algorithms
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• Non-Markovian quantum dynamics: local versus non-local
• Reconciliation of quantum local master equations with thermodynamics
• Universal Lindblad equation for open quantum systems
• Nonequilibrium Green's function method for quantum thermal transport
• On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
• Non-Markovian Dynamical Maps: Numerical Processing of Open Quantum Trajectories
• Efficient simulation of finite-temperature open quantum systems
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Collision-model-based approach to non-Markovian quantum dynamics
• The thermodynamic cost of driving quantum systems by their boundaries
• Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-Markovian path integrals
• Solving nonequilibrium dynamical mean-field theory using matrix product states
• Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin-$1/2$ chain
• Comparative study of theoretical methods for nonequilibrium quantum transport
• Quantum dynamics of thermalizing systems
• Collision model for non-Markovian quantum dynamics
• Composite quantum collision models
• Non-equilibrium Green's function formalism and the problem of bound states
• Time-propagation of the Kadanoff-Baym equations for inhomogeneous systems
• Green's functions from real-time bold-line Monte Carlo: spectral properties of the nonequilibrium Anderson impurity model
• Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
• Collision models can efficiently simulate any multipartite Markovian quantum dynamics
• Interaction instability of localization in quasiperiodic systems
• System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
• Collision models in quantum optics
• Dephasing-induced diffusive transport in anisotropic Heisenberg model
• Thermofield-based chain mapping approach for open quantum systems
• How to discretize a quantum bath for real-time evolution
• Collision models in open system dynamics: A versatile tool for deeper insights?
• Nonequilibrium Steady-State Transport in Quantum Impurity Models: a Thermofield and Quantum Quench Approach using Matrix Product States
• Auxiliary master equation approach within matrix product states: Spectral properties of the nonequilibrium Anderson impurity model
• Efficient simulation of non-Markovian system-environment interaction
• Fourier's Law confirmed for a class of small quantum systems
• Generalized master equations leading to completely positive dynamics
• Tensor-network method to simulate strongly interacting quantum thermal machines
• Non-Markovianity, coherence and system-environment correlations in a long-range collision model
• Breaking the entanglement barrier: Tensor network simulation of quantum transport
• High-temperature coherent transport in the XXZ chain in the presence of an impurity
• Simulating Bosonic Baths with Error Bars
• Non-equilibrium steady-states of memoryless quantum collision models
• Weak integrability breaking: chaos with integrability signature in coherent diffusion
• Efficient simulation of open quantum systems coupled to a fermionic bath
• Diffusive transport in a quasiperiodic Fibonacci chain: absence of many-body localization at small interactions
• Renormalized Lindblad Driving: A Numerically-Exact Nonequilibrium Quantum Impurity Solver
• Asymmetry in energy versus spin transport in certain interacting, disordered systems
• Markovian Treatment of non-Markovian Dynamics of Open Fermionic Systems
• Dephasing enhanced spin transport in the ergodic phase of a many-body localizable system
• Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution
• Many-body open quantum systems beyond Lindblad master equations
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• Phenomenology of anomalous transport in disordered one-dimensional systems
• Superdiffusive transport of energy in one-dimensional metals
• Dynamical error bounds for continuum discretisation via Gauss quadrature rules, -- a Lieb-Robinson bound approach
• Power law tails and non Markovian dynamics in open quantum systems: An exact solution from Keldysh field theory
• Classifying transport behavior via current fluctuations in open quantum systems
• Simulation of XXZ Spin Models using Sideband Transitions in Trapped Bosonic Gases

Cited by in corpus (18)

• Quantum collision models: open system dynamics from repeated interactions
• Open quantum system dynamics and the mean force Gibbs state
• Signatures of Liouvillian exceptional points in a quantum thermal machine
• Tensor network simulation of chains of non-Markovian open quantum systems
• A quantum-classical decomposition of Gaussian quantum environments: a stochastic pseudomode model
• Searching for Lindbladians obeying local conservation laws and showing thermalization
• Efficiency fluctuations in a quantum battery charged by a repeated interaction process
• Quantum collisional thermostats
• Improved Efficiency of Open Quantum System Simulations Using Matrix Products States in the Interaction Picture
• Thermodynamics of a continuously monitored double quantum dot heat engine in the repeated interactions framework
• Reduced Dynamics of Full Counting Statistics
• Periodically refreshed quantum thermal machines
• Accumulative reservoir construction: Bridging continuously relaxed and periodically refreshed extended reservoirs
• Time periodicity from randomness in quantum systems
• Giant rectification in strongly-interacting driven tilted systems
• Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Dual current anomalies and quantum transport within extended reservoir simulations