Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
arXiv:1610.09402 · doi:10.1063/1.4974329
Abstract
In this second paper of a two part series, we present extensive benchmark results for two different inchworm Monte Carlo expansions for the spin-boson model. Our results are compared to previously developed numerically exact approaches for this problem. A detailed discussion of convergence and error propagation is presented. Our results and analysis allow for an understanding of the benefits and drawbacks of inchworm Monte Carlo compared to other approaches for exact real-time non-adiabatic quantum dynamics.
10 pages, 8 figures
References in corpus (10)
- Continuous-time Monte Carlo methods for quantum impurity models
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
- Real-time path integral approach to nonequilibrium many-body quantum system
- Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
- Diagrammatic Monte Carlo simulation of non-equilibrium systems
- Inelastic Microwave Photon Scattering off a Quantum Impurity in a Josephson-Junction Array
- Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation
- Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
- Meir-Wingreen formula for heat transport in a spin-boson nanojunction model
Cited by in corpus (19)
- Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
- Quantum Monte Carlo solution of the dynamical mean field equations in real time
- Lead Geometry and Transport Statistics in Molecular Junctions
- Photo-induced nonequilibrium states in Mott insulators
- Solving quantum impurity problems on the L-shaped Kadanoff-Baym contour
- Real-Time Simulation of Open Quantum Spin Chains with Inchworm Method
- Efficient construction of the Feynman-Vernon influence functional as matrix product states
- Stark-Many body localization in interacting infinite dimensional systems
- Transient dynamical phase diagram of the spin-boson model
- Capturing long-range memory structures with tree-geometry process tensors
- Information Loss Pathways in a Numerically Exact Simulation of a non-Markovian Open Quantum System
- Solving Caldeira-Leggett Model by Inchworm Method with Frozen Gaussian Approximation
- Compact representation and long-time extrapolation of real-time data for quantum systems using the ESPRIT algorithm
- Simulation of Spin Chains with off-diagonal Coupling Using Inchworm Method
- Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
- Infinite Grassmann time-evolving matrix product operators for quantum impurity problems after a quench
- Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature
- Separation of relaxation timescales via strong system-bath coupling: Dissipative three-level system as a case study
- Nonadiabatic dynamics at metal surfaces: fewest switches surface hopping with electronic relaxation