A Multilevel Blocking Approach to the Sign Problem in Real-Time Quantum Monte Carlo Simulations

Abstract

We propose a novel approach toward the general solution of the sign problem in real-time path-integral simulations. Using a recursive multilevel blocking strategy, this method circumvents the sign problem by synthesizing the phase cancellations arising from interfering quantum paths on multiple timescales. A number of numerical examples with one or a few explicit degrees of freedom illustrate the usefulness of the method.

4 pages, 2 eps figures, REVTeX

Cited by in corpus (20)

• Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
• Iterative real-time path integral approach to nonequilibrium quantum transport
• Ab initio simulation of warm dense matter
• On the formation of Wigner molecules in small quantum dots
• Comparative study of theoretical methods for nonequilibrium quantum transport
• Kondo memory in driven strongly-correlated quantum dots
• Crossover from nonadiabatic to adiabatic electron transfer reactions: Multilevel blocking Monte Carlo simulations
• Path-integral Monte Carlo Simulations without the Sign Problem: Multilevel Blocking Approach for Effective Actions
• Dynamic properties of the warm dense electron gas: an ab initio path integral Monte Carlo approach
• Finite-size effects in the reconstruction of dynamic properties from ab initio path integral Monte-Carlo simulations
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Quantum dynamical correlations: Effective potential analytic continuation approach
• An Adaptive, Kink-Based Approach to Path Integral Calculations
• Fast Converging Path Integrals for Time-Dependent Potentials I: Recursive Calculation of Short-Time Expansion of the Propagator
• Fast Converging Path Integrals for Time-Dependent Potentials II: Generalization to Many-body Systems and Real-Time Formalism
• Simulation of geometric and electronic degrees of freedom using a kink-based path integral formulation: application to molecular systems
• Kink-Based Path Integral Calculations of Atoms He-Ne
• Identification of the transport regimes of the one-dimensional Holstein model
• Many Body Diffusion and Interacting Electrons in a Harmonic Confinement
• The Rigorous Stochastic Matrix Multiplication Scheme for the Calculations of Reduced Equilibrium Density Matrices of Open Multilevel Quantum Systems