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Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation
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 photode...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Hindawi Publishing Corporation
2013
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3679721/ https://www.ncbi.nlm.nih.gov/pubmed/23781156 http://dx.doi.org/10.1155/2013/424137 |
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author | Li, Ming |
author_facet | Li, Ming |
author_sort | Li, Ming |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-3679721 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
spelling | pubmed-36797212013-06-18 Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation Li, Ming ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2013-05-28 /pmc/articles/PMC3679721/ /pubmed/23781156 http://dx.doi.org/10.1155/2013/424137 Text en Copyright © 2013 Ming Li. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Research Article Li, Ming Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation |
title | Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation |
title_full | Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation |
title_fullStr | Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation |
title_full_unstemmed | Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation |
title_short | Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation |
title_sort | simulation of quantum dynamics based on the quantum stochastic differential equation |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3679721/ https://www.ncbi.nlm.nih.gov/pubmed/23781156 http://dx.doi.org/10.1155/2013/424137 |
work_keys_str_mv | AT liming simulationofquantumdynamicsbasedonthequantumstochasticdifferentialequation |