30 citations · 228 across the 45 of their papers we have counts for
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Real-Time Simulation of Open Quantum Spin Chains with Inchworm Method
Geshuo Wang, Zhenning Cai
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…
Tree-based Implementation of the Small Matrix Path Integral for System-Bath Dynamics
Geshuo Wang, Zhenning Cai
The small matrix path integral (SMatPI) method is an efficient numerical approach to simulate the evolution of a quantum system coupled to a harmonic bath. The method relies on a s…
The Bold-Thin-Bold Diagrammatic Monte Carlo Method for Open Quantum Systems
Zhenning Cai, Geshuo Wang, Siyao Yang
We present two diagrammatic Monte Carlo methods for quantum systems coupled with harmonic baths, whose dynamics are described by integro-differential equations. The first approach…
Fast Algorithms of Bath Calculations in Simulations of Quantum System-Bath Dynamics
Zhenning Cai, Jianfeng Lu, Siyao Yang
We present fast algorithms for the summation of Dyson series and the inchworm Monte Carlo method for quantum systems that are coupled with harmonic baths. The algorithms are based…
Differential Equation Based Path Integral for System-Bath Dynamics
Geshuo Wang, Zhenning Cai
We propose the differential equation based path integral (DEBPI) method to simulate the real-time evolution of open quantum systems. In this method, a system of partial differentia…
The Wigner Function of Ground State and One-Dimensional Numerics
Hongfei Zhan, Zhenning Cai, Guanghui Hu
In this paper, the ground state Wigner function of a many-body system is explored theoretically and numerically. First, an eigenvalue problem for Wigner function is derived based o…