Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation

机译：基于量子随机微分方程的量子动力学仿真

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The quantum stochastic differential equation derived from the Lindblad form quantum master equation is investigated. The general formulation in terms of environment operators representing the quantum state diffusion is given. The numerical simulation algorithm of stochastic process of direct photodetection of a driven two-level system for the predictions of the dynamical behavior is proposed. The effectiveness and superiority of the algorithm are verified by the performance analysis of the accuracy and the computational cost in comparison with the classical Runge-Kutta algorithm.

机译：研究了从林德布拉德形式的量子主方程导出的量子随机微分方程。给出了代表量子态扩散的环境算子的一般公式。提出了驱动两级系统直接光检测随机过程的动力学行为数值模拟算法。与经典的Runge-Kutta算法相比，通过对准确性和计算成本的性能分析，验证了该算法的有效性和优越性。

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期刊名称 The Scientific World Journal
作者
Ming Li;
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年(卷),期 2013(2013),-1
年度 2013
页码 424137
总页数 6
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1. Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation [J] . MingLi ScientificWorldJournal . 2013,第3期

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3. Direct calculation of 1H2O T_1 NMRD profiles and EPR lineshapes for the electron spin quantum numbers S=1,3/2,2,5/2,3,7/2,based on the stochastic Liouville equation combined with Brownian dynamics simulation [J] . Ken Aman, Per-Olof Westlund Physical chemistry chemical physics: PCCP . 2007,第6期

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4. Semiclassical Maxwell-Bloch equations in superradiance theory by input-output formalism of quantum stochastic differential equations [C] . A M Basharov International Youth Scientific School on Coherent Optics and Optical Spectroscopy . 2015

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5. Development of new quantum, semiclassical, and mixed quantum-classical methods for chemical dynamics simulations. [D] . Burant, John Charles. 2002

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6. Comparing Stochastic Differential Equations and Agent-Based Modelling and Simulation for Early-Stage Cancer [O] . Grazziela P. Figueredo, Peer-Olaf Siebers, Markus R. Owen, -1

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7. Variational quantum simulations of stochastic differential equations [O] . Kenji Kubo, Yuya O. Nakagawa, Suguru Endo, 2021

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8. Workshop on quantum stochastic differential equations for the quantum simulation of physical systems. [R] . Siopsis, G. 2016

机译：物理系统量子模拟的量子随机微分方程研讨会。

Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation

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