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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Format: | Article |
Language: | English |
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IOP Publishing
2016-01-01
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Series: | New Journal of Physics |
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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. |
first_indexed | 2024-03-12T16:42:02Z |
format | Article |
id | doaj.art-f1158b7c24c24e11b5b0319980eb2990 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:42:02Z |
publishDate | 2016-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
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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