Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions

Abstract We derive the evolution equations for two-time correlation functions of a generalized non-Markovian open quantum system based on a modified stochastic Schrödinger equation approach. We find that the two-time reduced propagator, an object that used to be characterized by two independent stoc...

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Autores principales:	Rafael Carballeira, David Dolgitzer, Peng Zhao, Debing Zeng, Yusui Chen
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/a8035bf09e9641e8a45dc88126e94cc4
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spelling	oai:doaj.org-article:a8035bf09e9641e8a45dc88126e94cc42021-12-02T15:56:50ZStochastic Schrödinger equation derivation of non-Markovian two-time correlation functions10.1038/s41598-021-91216-02045-2322https://doaj.org/article/a8035bf09e9641e8a45dc88126e94cc42021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-91216-0https://doaj.org/toc/2045-2322Abstract We derive the evolution equations for two-time correlation functions of a generalized non-Markovian open quantum system based on a modified stochastic Schrödinger equation approach. We find that the two-time reduced propagator, an object that used to be characterized by two independent stochastic processes in the Hilbert space of the system, can be simplified and obtained by taking ensemble average over one single noise. This discovery can save the cost of computation, and accelerate the converging process when taking the average over noisy trajectories. As a result, our method can be widely applied to many open quantum models, especially large-scale systems and extend the quantum regression theory to the non-Markovian case. In the short-time simulations, it is observed a significant difference between Markovian and non-Markovian cases, which can be applied to realize the environmental spectrum detection and enhance the measurement sensitivity in varying open quantum systems.Rafael CarballeiraDavid DolgitzerPeng ZhaoDebing ZengYusui ChenNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Rafael Carballeira David Dolgitzer Peng Zhao Debing Zeng Yusui Chen Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions
description	Abstract We derive the evolution equations for two-time correlation functions of a generalized non-Markovian open quantum system based on a modified stochastic Schrödinger equation approach. We find that the two-time reduced propagator, an object that used to be characterized by two independent stochastic processes in the Hilbert space of the system, can be simplified and obtained by taking ensemble average over one single noise. This discovery can save the cost of computation, and accelerate the converging process when taking the average over noisy trajectories. As a result, our method can be widely applied to many open quantum models, especially large-scale systems and extend the quantum regression theory to the non-Markovian case. In the short-time simulations, it is observed a significant difference between Markovian and non-Markovian cases, which can be applied to realize the environmental spectrum detection and enhance the measurement sensitivity in varying open quantum systems.
format	article
author	Rafael Carballeira David Dolgitzer Peng Zhao Debing Zeng Yusui Chen
author_facet	Rafael Carballeira David Dolgitzer Peng Zhao Debing Zeng Yusui Chen
author_sort	Rafael Carballeira
title	Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions
title_short	Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions
title_full	Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions
title_fullStr	Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions
title_full_unstemmed	Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions
title_sort	stochastic schrödinger equation derivation of non-markovian two-time correlation functions
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/a8035bf09e9641e8a45dc88126e94cc4
work_keys_str_mv	AT rafaelcarballeira stochasticschrodingerequationderivationofnonmarkoviantwotimecorrelationfunctions AT daviddolgitzer stochasticschrodingerequationderivationofnonmarkoviantwotimecorrelationfunctions AT pengzhao stochasticschrodingerequationderivationofnonmarkoviantwotimecorrelationfunctions AT debingzeng stochasticschrodingerequationderivationofnonmarkoviantwotimecorrelationfunctions AT yusuichen stochasticschrodingerequationderivationofnonmarkoviantwotimecorrelationfunctions
_version_	1718385411221356544

Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions

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