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CONTINUOUS-MODE MULTIPHOTON FILTERING
Song, H. T.1; Zhang, G. F.2; Xi, Z. R.3
2016
Source PublicationSIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN0363-0129
Volume54Issue:3Pages:1602-1632
AbstractThe purpose of this paper is to derive filters for an arbitrary open quantum system driven by a light wave packet prepared in a continuous-mode multiphoton state. A continuous-mode multiphoton state is a state of a traveling light wave packet that contains a definite number of photons and is characterized by a temporal (or, equivalently, spectral) profile. After the interaction with the system, the outgoing light can be monitored by means of homodyne detection or photodetection. Filters for both measurement schemes are derived in this paper. Unlike the vacuum or the coherent state case, the annihilation operator of the light field acting on a multiphoton state changes the state by annihilating a photon, and this makes the traditional filtering techniques inapplicable. To circumvent this difficulty, we adopt a non-Markovian embedding technique proposed in [J. E. Gough, M. R. James, and H. I. Nurdin, Quantum Inf. Process., 12 (2013), pp. 1469{1499] for the study of the single-photon filtering problem. However, the multiphoton nature of the problem addressed in this paper makes the study much more mathematically involved. Moreover, as demonstrated by an example-a two-level system driven by a continuous-mode two-photon state-multiphoton filters can reveal interesting strong nonlinear optical phenomena absent in both the single-photon state case and the continuous-mode Fock state case.
Keywordopen quantum systems quantum filtering multiphoton states
DOI10.1137/15M1023099
Language英语
Funding ProjectNational Natural Science Foundation of China (NSFC)[61374057] ; National Natural Science Foundation of China (NSFC)[61134008] ; National Natural Science Foundation of China (NSFC)[61227902] ; Hong Kong RGC grant[531213] ; Hong Kong RGC grant[15206915]
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000385009500020
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:14[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23970
Collection系统科学研究所
Affiliation1.China Acad Space Technol, Qian Xuesen Lab Space Technol, Beijing 100094, Peoples R China
2.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Song, H. T.,Zhang, G. F.,Xi, Z. R.. CONTINUOUS-MODE MULTIPHOTON FILTERING[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2016,54(3):1602-1632.
APA Song, H. T.,Zhang, G. F.,&Xi, Z. R..(2016).CONTINUOUS-MODE MULTIPHOTON FILTERING.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,54(3),1602-1632.
MLA Song, H. T.,et al."CONTINUOUS-MODE MULTIPHOTON FILTERING".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 54.3(2016):1602-1632.
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