Exact analysis of the response of quantum systems to two-photons using a QSDE approach

We introduce the quantum stochastic differential equation (QSDE) approach to exactly analyze the response of quantum systems to a continuous-mode two-photon input. The QSDE description of the two-photon process allows us to integrate the input–output analysis with the quantum network theory, and so...

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Main Authors: Yu Pan, Daoyi Dong, Guofeng Zhang
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/3/033004
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author Yu Pan
Daoyi Dong
Guofeng Zhang
author_facet Yu Pan
Daoyi Dong
Guofeng Zhang
author_sort Yu Pan
collection DOAJ
description We introduce the quantum stochastic differential equation (QSDE) approach to exactly analyze the response of quantum systems to a continuous-mode two-photon input. The QSDE description of the two-photon process allows us to integrate the input–output analysis with the quantum network theory, and so the analytical computability of the output state of a general quantum system can be addressed within this framework. We show that the time-domain two-photon output states can be exactly calculated for a large class of quantum systems including passive linear networks, optomechanical oscillators and two-level emitter in waveguide systems. In particular, we propose to utilise the results for the exact simulation of the stimulated emission as well as the study of the scattering of two-mode photon wave packets.
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spelling doaj.art-f1158b7c24c24e11b5b0319980eb29902023-08-08T14:27:56ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118303300410.1088/1367-2630/18/3/033004Exact analysis of the response of quantum systems to two-photons using a QSDE approachYu Pan0Daoyi Dong1Guofeng Zhang2School of Engineering and Information Technology, University of New South Wales , Canberra, ACT, 2600, AustraliaSchool of Engineering and Information Technology, University of New South Wales , Canberra, ACT, 2600, AustraliaDepartment of Applied Mathematics, The Hong Kong Polytechnic University , Hong Kong, People’s Republic of ChinaWe introduce the quantum stochastic differential equation (QSDE) approach to exactly analyze the response of quantum systems to a continuous-mode two-photon input. The QSDE description of the two-photon process allows us to integrate the input–output analysis with the quantum network theory, and so the analytical computability of the output state of a general quantum system can be addressed within this framework. We show that the time-domain two-photon output states can be exactly calculated for a large class of quantum systems including passive linear networks, optomechanical oscillators and two-level emitter in waveguide systems. In particular, we propose to utilise the results for the exact simulation of the stimulated emission as well as the study of the scattering of two-mode photon wave packets.https://doi.org/10.1088/1367-2630/18/3/033004input–output approachtwo-photon stateQSDEtwo-level systems
spellingShingle Yu Pan
Daoyi Dong
Guofeng Zhang
Exact analysis of the response of quantum systems to two-photons using a QSDE approach
New Journal of Physics
input–output approach
two-photon state
QSDE
two-level systems
title Exact analysis of the response of quantum systems to two-photons using a QSDE approach
title_full Exact analysis of the response of quantum systems to two-photons using a QSDE approach
title_fullStr Exact analysis of the response of quantum systems to two-photons using a QSDE approach
title_full_unstemmed Exact analysis of the response of quantum systems to two-photons using a QSDE approach
title_short Exact analysis of the response of quantum systems to two-photons using a QSDE approach
title_sort exact analysis of the response of quantum systems to two photons using a qsde approach
topic input–output approach
two-photon state
QSDE
two-level systems
url https://doi.org/10.1088/1367-2630/18/3/033004
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