Real-time path integral approach to nonequilibrium many-body quantum systems

L Mühlbacher, E Rabani - Physical review letters, 2008 - APS
A real-time path-integral Monte Carlo approach is developed to study the dynamics in a
many-body quantum system coupled to a phonon background until reaching a …

Numerical path integral techniques for long time dynamics of quantum dissipative systems

N Makri - Journal of Mathematical Physics, 1995 - pubs.aip.org
Recent progress in numerical methods for evaluating the real-time path integral in
dissipative harmonic environments is reviewed. Quasi-adiabatic propagators constructed …

Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulations

M Boninsegni, NV Prokof'Ev, BV Svistunov - Physical Review E—Statistical …, 2006 - APS
A detailed description is provided of a new worm algorithm, enabling the accurate
computation of thermodynamic properties of quantum many-body systems in continuous …

Real-time diagrammatic Monte Carlo for nonequilibrium quantum transport

M Schiró, M Fabrizio - Physical Review B—Condensed Matter and Materials …, 2009 - APS
We propose a numerically exact approach to nonequilibrium real-time dynamics that is
applicable to quantum impurity models coupled to biased noninteracting leads, such as …

Reconstructing nonequilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions

C Bertrand, S Florens, O Parcollet, X Waintal - Physical Review X, 2019 - APS
We propose a systematic approach to the nonequilibrium dynamics of strongly interacting
many-body quantum systems, building upon the standard perturbative expansion in the …

Quantum tunneling using entangled classical trajectories

A Donoso, CC Martens - Physical Review Letters, 2001 - APS
In this Letter, we present a new method for simulating quantum processes in the context of
classical molecular dynamics simulations. The approach is based on solving numerically the …

Numerically exact path-integral simulation of nonequilibrium quantum transport and dissipation

D Segal, AJ Millis, DR Reichman - Physical Review B—Condensed Matter and …, 2010 - APS
We develop an iterative, numerically exact approach for the treatment of nonequilibrium
quantum transport and dissipation problems that avoids the real-time sign problem …

Diagrammatic Monte Carlo simulation of nonequilibrium systems

P Werner, T Oka, AJ Millis - Physical Review B—Condensed Matter and …, 2009 - APS
We generalize the recently developed diagrammatic Monte Carlo techniques for quantum
impurity models from an imaginary time to a Keldysh formalism suitable for real-time and …

Quantum Monte Carlo dynamics: The stationary phase Monte Carlo path integral calculation of finite temperature time correlation functions

JD Doll, TL Beck, DL Freeman - The Journal of chemical physics, 1988 - pubs.aip.org
We present a numerically exact procedure for the calculation of an important class of finite
temperature quantum mechanical time correlation functions. The present approach is based …

Quantum dynamics of the parametric oscillator

P Kinsler, PD Drummond - Physical Review A, 1991 - APS
We present dynamical calculations for the quantum parametric oscillator using both number-
state and coherent-state bases. The coherent-state methods use the positive-P …