Real-Time Simulation of Open Quantum Spin Chains with Inchworm Method

Abstract

We study the real-time simulation of open quantum systems, where the system is modeled by a spin chain, with each spin associated with its own harmonic bath. Our method couples the inchworm method for the spin-boson model and the modular path integral methodology for spin systems. In particular, the introduction of the inchworm method can significantly suppress the numerical sign problem. Both methods are tweaked to make them work seamlessly with each other. We represent our approach in the language of diagrammatic methods, and analyze the asymptotic behavior of the computational cost. Extensive numerical experiments are done to validate our method.

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Cited by in corpus (6)

• Tree-based Implementation of the Small Matrix Path Integral for System-Bath Dynamics
• Solving Caldeira-Leggett Model by Inchworm Method with Frozen Gaussian Approximation
• Compact representation and long-time extrapolation of real-time data for quantum systems using the ESPRIT algorithm
• Simulation of Spin Chains with off-diagonal Coupling Using Inchworm Method
• Environment-Mediated Long-Ranged Correlations in Many-Body System
• Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature