Infinite Grassmann time-evolving matrix product operators for quantum impurity problems after a quench
arXiv:2412.04702 · doi:10.1103/g5y8-jfb2
Abstract
An emergent numerical approach to solve quantum impurity problems is to encode the impurity path integral as a matrix product state. For time-dependent problems, the cost of this approach generally scales with the evolution time. Here we consider a common non-equilibrium scenario where an impurity, initially in equilibrium with a thermal bath, is driven out of equilibrium by a sudden quench of the impurity Hamiltonian. Despite that there is no time-translational invariance in the problem, we show that we could still make full use of the infinite matrix product state technique, resulting in a method whose cost is essentially independent of the evolution time. We demonstrate the effectiveness of this method in the integrable case against exact diagonalization, and against existing calculations on the L-shaped Kadanoff-Baym contour in the general case. Our method could be a very competitive method for studying long-time non-equilibrium quantum dynamics, and be potentially used as an efficient impurity solver in the non-equilibrium dynamical mean field theory.
13 pages, 10 figures
References in corpus (58)
- The density-matrix renormalization group in the age of matrix product states
- The numerical renormalization group method for quantum impurity systems
- Quantum many-body systems out of equilibrium
- Nonequilibrium dynamical mean-field theory and its applications
- Dynamical quantum phase transitions: a review
- The iTEBD algorithm beyond unitary evolution
- Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- Keldysh technique and non-linear sigma-model: basic principles and applications
- Light-induced emergent phenomena in 2D materials and topological materials
- Energy resolution and discretization artefacts in the numerical renormalization group
- Variational optimization algorithms for uniform matrix product states
- How bad metals turn good: spectroscopic signatures of resilient quasiparticles
- Quantum quench dynamics
- Taming the dynamical sign problem in real-time evolution of quantum many-body problems
- Efficient real frequency solver for dynamical mean field theory
- Variational matrix product state approach to quantum impurity models
- Non-equilibrium quantum dynamics and formation of the Bose polaron
- DMFT+NRG study of spin-orbital separation in a three-band Hund's metal
- Dynamical Mean Field Theory with the Density Matrix Renormalization Group
- Sum-rules and bath-parametrization for quantum cluster theories
- Ultrafast doublon dynamics in photo-excited 1T-TaS
- Green's functions from real-time bold-line Monte Carlo: spectral properties of the nonequilibrium Anderson impurity model
- Chebyshev Matrix Product State Impurity Solver for the Dynamical Mean-Field Theory
- Fork Tensor Product States - Efficient Three Orbital Real Time DMFT Solver
- Chebyshev expansion for Impurity Models using Matrix Product States
- Relaxation of an isolated dipolar-interacting Rydberg quantum spin system
- Efficient DMFT impurity solver using real-time dynamics with Matrix Product States
- Green's functions from real-time bold-line Monte Carlo
- Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
- Dynamics of quantum dissipation systems interacting with Fermion and Boson grand canonical bath ensembles: Hierarchical equations of motion approach
- Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
- Imaginary-time matrix product state impurity solver for dynamical mean-field theory
- Reconstructing non-equilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions
- An efficient method for quantum impurity problems out of equilibrium
- Real time evolution of Anderson impurity models via tensor network influence functionals
- Nonequilibrium Charge-Density-Wave Order Beyond the Thermal Limit
- Doublon-holon origin of the subpeaks at the Hubbard band edges
- Quantum Renormalization Groups Based on Natural Orbitals
- Adaptive broadening to improve spectral resolution in the numerical renormalization group
- Quantum Monte Carlo in the steady-state
- Efficient hybridization fitting for dynamical mean-field theory via semi-definite relaxation
- A Numerical Renormalization Group approach to Non-Equilibrium Green's Functions for Quantum Impurity Models
- Distributional exact diagonalization formalism for quantum impurity models
- Efficient mapping for Anderson impurity problems with matrix product states
- Configuration interaction based nonequilibrium steady state impurity solver
- Natural-Orbital Impurity Solver and Projection Approach for Green's Function
- Grassmann Time-Evolving Matrix Product Operators for Quantum Impurity Models
- Natural Orbitals Renormalization Group Approach to the Two-Impurity Kondo Critical Point
- Quantifying Non-Markovianity in Open Quantum Dynamics
- Real-time Impurity Solver Using Grassmann Time-Evolving Matrix Product Operators
- Infinite Grassmann Time-Evolving Matrix Product Operator Method in the Steady State
- Solving quantum impurity problems on the L-shaped Kadanoff-Baym contour
- Efficient construction of the Feynman-Vernon influence functional as matrix product states
- Steady-state dynamical mean field theory based on influence functional matrix product states
- Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
- Infinite Grassmann time-evolving matrix product operator method for zero-temperature equilibrium quantum impurity problems