Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion
arXiv:1904.12582 · doi:10.21468/SciPostPhys.7.2.016
Abstract
In this work we introduce a modified real-time continuous-time hybridization-expansion quantum Monte Carlo solver for a time-dependent single-orbital Anderson impurity model: CT-1/2-HYB-QMC. In the proposed method the diagrammatic expansion is performed only for one out of the two spin channels, while the resulting effective single-particle problem for the other spin is solved semi-analytically for each expansion diagram. CT-1/2-HYB-QMC alleviates the dynamical sign problem by reducing the order of sampled diagrams and makes it possible to reach twice as long time scales in comparison to the standard CT-HYB method. We illustrate the new solver by calculating an electric current through impurity in paramagnetic and spin-polarized cases.
arXiv comment18 pages, 8 figures, Submission to SciPost
References in corpus (24)
- Continuous-time Monte Carlo methods for quantum impurity models
- A continuous-time solver for quantum impurity models
- Nonequilibrium dynamical mean-field theory and its applications
- Dynamical phase transition in correlated fermionic lattice systems
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Real-time path integral approach to nonequilibrium many-body quantum system
- Diagrammatic Monte Carlo simulation of non-equilibrium systems
- Taming the dynamical sign problem in real-time evolution of quantum many-body problems
- Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
- Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
- Numerically Exact Long Time Magnetization Dynamics at the Nonequilibrium Kondo Crossover of the Anderson Impurity Model
- First order dynamical phase transitions
- Weak-coupling quantum Monte Carlo calculations on the Keldysh contour: theory and application to the current-voltage characteristics of the Anderson model
- How to discretize a quantum bath for real-time evolution
- Quantum Monte-Carlo for correlated out-of-equilibrium nanoelectronics devices
- Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation
- Green's functions from real-time bold-line Monte Carlo
- Numerically Exact Long Time Behavior of Nonequilibrium Quantum Impurity Models
- Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
- Real-Time Dynamics in Quantum Impurity Models with Diagrammatic Monte Carlo
- Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
- Currents and Green's functions of impurities out of equilibrium -- results from inchworm Quantum Monte Carlo
- Voltage quench dynamics of a Kondo system
- Iterative path integral summation for nonequilibrium quantum transport
Cited by in corpus (6)
- Green's function methods for single molecule junctions
- Dynamics of Kondo voltage splitting after a quantum quench
- Numerically exact counting statistics of energy current in the Kondo regime
- Adaptive Numerical Solution of Kadanoff-Baym Equations
- Interaction-induced current asymmetries in resonant transport through interacting quantum-dot spin valves revealed by iterative summation of path integrals
- Kondo spectral functions at low-temperatures: A dynamical-exchange-correlation-field perspective