Inchworm Monte Carlo Method for Open Quantum Systems
Zhenning Cai, Jianfeng Lu, Siyao Yang
Abstract
Abstract We investigate in this work a recently proposed diagrammatic quantum Monte Carlo method—the inchworm Monte Carlo method—for open quantum systems. We establish its validity rigorously based on resummation of Dyson series. Moreover, we introduce an integro‐differential equation formulation for open quantum systems, which illuminates the mathematical structure of the inchworm algorithm. This new formulation leads to an improvement of the inchworm algorithm by introducing classical deterministic time‐integration schemes. The numerical method is validated by applications to the spin‐boson model. © 2020 Wiley Periodicals, Inc.
Topics & Concepts
Monte Carlo methodResummationQuantum Monte CarloQuantumStatistical physicsApplied mathematicsWork (physics)MathematicsDiagrammatic reasoningComputer sciencePhysicsMathematical analysisQuantum mechanicsProgramming languageLogarithmStatisticsQuantum, superfluid, helium dynamicsAdvanced Chemical Physics StudiesCold Atom Physics and Bose-Einstein Condensates