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quant-ph2025

Second-order discretization of Dyson series: iterative method, numerical analysis and applications in open quantum systems

Zhenning Cai, Yixiao Sun, Geshuo Wang

We propose a general strategy to discretize the Dyson series without applying direct numerical quadrature to high-dimensional integrals, and extend this framework to open quantum s…

quant-ph20251 cited

Accelerated Inchworm Method with Tensor-Train Bath Influence Functional

Geshuo Wang, Yixiao Sun, Siyao Yang +1

We propose an efficient tensor-train-based algorithm for simulating open quantum systems with the inchworm method, where the reduced dynamics of the open quantum system is expresse…

quant-ph2024

Comment on "Unified framework for open quantum dynamics with memory"

Nancy Makri, Sohang Kundu, Zhenning Cai +1

A recent article by Ivander, Lindoy and Lee [Nature Communications 15, 8087 (2024)] claims to discover the relationship between the generalized quantum master equation (GQME) and t…

quant-ph2024

Solving Caldeira-Leggett Model by Inchworm Method with Frozen Gaussian Approximation

Geshuo Wang, Siyao Yang, Zhenning Cai

We propose an algorithm that combines the inchworm method and the frozen Gaussian approximation to simulate the Caldeira-Leggett model in which a quantum particle is coupled with t…

quant-ph2024

Simulation of Spin Chains with off-diagonal Coupling Using Inchworm Method

Yixiao Sun, Geshuo Wang, Zhenning Cai

We study the dynamical simulation of open quantum spin chain with nearest neighboring coupling, where each spin in the chain is associated with a harmonic bath. This is an extensio…

quant-ph2023

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…