Quantum Monte Carlo solution of the dynamical mean field equations in real time
arXiv:1706.02975 · doi:10.1103/PhysRevB.96.155126
Abstract
We present real-time inchworm quantum Monte Carlo results for single-site dynamical mean field theory on an infinite coordination number Bethe lattice. Our numerically exact results are obtained on the L-shaped Keldysh contour and, being evaluated in real-time, avoid the analytic continuation issues typically encountered in Monte Carlo calculations. Our results show that inchworm Monte Carlo methods have now reached a state where they can be used as dynamical mean field impurity solvers and the dynamical sign problem can be overcome. As non-equilibrium problems can be simulated at the same cost, we envisage the main use of these methods as dynamical mean field solvers for time-dependent problems far from equilibrium.
References in corpus (18)
- Continuous-time Monte Carlo methods for quantum impurity models
- The numerical renormalization group method for quantum impurity systems
- Dynamical phase transition in correlated fermionic lattice systems
- Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
- Real-time path integral approach to nonequilibrium many-body quantum system
- Continuous-time auxiliary field Monte Carlo for quantum impurity models
- Spectral functions in one-dimensional quantum systems at T>0
- Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
- Bold Diagrammatic Monte Carlo: When Sign Problem is Welcome
- Truncated Configuration Interaction expansions as solvers for correlated quantum impurity models and dynamical mean field theory
- Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
- Chebyshev Matrix Product State Impurity Solver for the Dynamical Mean-Field Theory
- 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
- Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
- Continuous-Time Quantum Monte Carlo Method for the Coqblin-Schrieffer Model
- Currents and Green's functions of impurities out of equilibrium -- results from inchworm Quantum Monte Carlo
- Spinons and helimagnons in the frustrated Heisenberg chain