Efficient simulation of open quantum systems coupled to a fermionic bath

Abstract

We present and analyze the fermionic time evolving density matrix using orthogonal polynomials algorithm (fTEDOPA), which enables the numerically exact simulation of open quantum systems coupled to a fermionic environment. The method allows for simulating the time evolution of open quantum systems with arbitrary spectral densities at zero or finite temperatures with controllable and certified error. We demonstrate the efficacy of the method towards the simulation of quintessential fermionic open quantum systems including the resonant level model and quantum dot coupled to an impurity and towards simulating hitherto intractable problems in quantum transport. Furthermore, we demonstrate significant efficiency gains in the computational costs by performing simulations in the Heisenberg picture. Finally, we compare different approaches for simulating finite-temperature situations and provide guidelines for choosing between these approaches.

arXiv commentupdated to published version, extended text to improve clarity, 22 pages, 6 figures

References in corpus (58)

• The density-matrix renormalization group in the age of matrix product states
• Area laws for the entanglement entropy - a review
• Efficient classical simulation of slightly entangled quantum computations
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Electron transport through double quantum dots
• Efficient simulation of one-dimensional quantum many-body systems
• A Tunable Kondo Effect in Quantum Dots
• The numerical renormalization group method for quantum impurity systems
• Non-Markovian dynamics in open quantum systems
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• Open Quantum Systems. An Introduction
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• The Kondo Effect in the Unitary Limit
• Efficient simulation of strong system-environment interactions
• Kondo effect in an integer-spin quantum dot
• Two-species mixture of quantum degenerate Bose and Fermi gases
• Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
• Concepts of quantum non-Markovianity: a hierarchy
• Decoherence and 1/f noise in Josephson qubits
• Conduction of Ultracold Fermions Through a Mesoscopic Channel
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
• Generalized Hartree-Fock Theory and the Hubbard Model
• Non-Markovian dynamics of a qubit
• Fifty-fold improvement in the number of quantum degenerate fermionic atoms
• Efficient simulation of finite-temperature open quantum systems
• Completely Positive Post-Markovian Master Equation via a Measurement Approach
• Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
• Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
• Universal Markovian reduction of Brownian particle dynamics
• Hierarchical Quantum Master Equation Approach to Electronic-Vibrational Coupling in Nonequilibrium Transport through Nanosystems
• Origin of long-lived oscillations in 2D-spectra of a Quantum Vibronic Model: Electronic vs Vibrational coherence
• Solving nonequilibrium dynamical mean-field theory using matrix product states
• A variational description of the quantum phase transition in the sub-Ohmic spin-boson model
• Mappings of open quantum systems onto chain representations and Markovian embeddings
• Autonomous quantum thermal machine for generating steady-state entanglement
• Simulating open quantum dynamics with time-dependent variational matrix product states: Towards microscopic correlation of environment dynamics and reduced system evolution
• Non-additive dissipation in open quantum networks out of equilibrium
• How to discretize a quantum bath for real-time evolution
• Thermofield-based chain mapping approach for open quantum systems
• Kondo-transport spectroscopy of single molecule magnets
• Density Matrix Renormalization Group in the Heisenberg Picture
• Beyond Marcus theory and the Landauer-Büttiker approach in molecular junctions: A unified framework
• Numerically exact, time-dependent treatment of vibrationally coupled electron transport in single-molecule junctions
• Nonequilibrium Steady-State Transport in Quantum Impurity Models: a Thermofield and Quantum Quench Approach using Matrix Product States
• Steady-state entanglement and coherence of the coupled qubit system in equilibrium and nonequilibrium environments
• Simulating Bosonic Baths with Error Bars
• Low-Temperature Decoherence of Qubit Coupled to Background Charges
• Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain
• Hierarchical equations for open system dynamics in fermionic and bosonic environments
• Quantum dynamics in photonic crystals
• Tensor Network simulation of polaron-polaritons in organic microcavities
• Phase-dependent exciton transport and energy harvesting from thermal environments
• Vibrational effects in charge transport through a molecular double quantum dot
• Dynamical error bounds for continuum discretisation via Gauss quadrature rules, -- a Lieb-Robinson bound approach
• Stability of the Trotter-Suzuki decomposition
• Kondo screening in unconventional superconductors: The role of anomalous propagators

Cited by in corpus (37)

• Numerically exact open quantum systems simulations for arbitrary environments using automated compression of environments
• Tensor-network method to simulate strongly interacting quantum thermal machines
• An efficient method for quantum impurity problems out of equilibrium
• Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain
• Periodically refreshed baths to simulate open quantum many-body dynamics
• Efficient mapping for Anderson impurity problems with matrix product states
• Stochastic Equation of Motion Approach to Fermionic Dissipative Dynamics. I. Formalism
• Steady state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs
• A pseudo-fermion method for the exact description of fermionic environments: from single-molecule electronics to Kondo resonance
• The Fermionic influence superoperator: a canonical derivation for the development of methods to simulate the influence of a Fermionic environment on a quantum system with arbitrary parity symmetry
• Fingerprint and universal Markovian closure of structured bosonic environments
• Tensor network influence functionals in the continuous-time limit: connections to quantum embedding, bath discretization, and higher-order time propagation
• Stable bipolarons in open quantum systems
• On the connection between microscopic description and memory effects in open quantum system dynamics
• Particle current statistics in driven mesoscale conductors
• Reservoir-assisted quantum battery charging at finite temperatures
• Extended dissipaton equation of motion for electronic open quantum systems: Application to the Kondo impurity model
• Modeling the unphysical pseudomode model with physical ensembles: simulation, mitigation, and restructuring of non-Markovian quantum noise
• Cooling with fermionic reservoir
• A quantum Otto-type heat engine with fixed frequency
• Chebyshev Polynomial Method to Landauer-Büttiker Formula of Quantum Transport in Nanostructures
• Efficient construction of tensor-network representations of many-body Gaussian states
• Spectral Density Modulation and Universal Markovian Closure of Fermionic Environments
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Efficient Pseudomode Representation and Complexity of Quantum Impurity Models
• Decoherence and entropy generation in an open quantum scalar-fermion system with Yukawa interaction
• Making Quantum Collision Models Exact
• Input-Output Hierarchical Equations Of Motion
• Entanglement Spectrum in General Free Fermionic Systems
• Hamiltonian Forging of a Thermofield Double
• Simulation of open quantum systems on universal quantum computers
• Dynamics of quantum resources in regular and Majorana fermion systems
• Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime
• Kondo nanomechanical dissipation in the driven Anderson impurity model
• Purified pseudomode model for nonlinear system-bath interactions
• Making Non-Markovian master equations accessible with approximate environments
• Non-Markovian decoherence of a two-level system in a Lorentzian bosonic reservoir and a stochastic environment with finite correlation time