KMS Of Academy of mathematics and systems sciences, CAS
CONTINUOUS-MODE MULTIPHOTON FILTERING | |
Song, H. T.1; Zhang, G. F.2; Xi, Z. R.3 | |
2016 | |
发表期刊 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
ISSN | 0363-0129 |
卷号 | 54期号:3页码:1602-1632 |
摘要 | The 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. |
关键词 | open quantum systems quantum filtering multiphoton states |
DOI | 10.1137/15M1023099 |
语种 | 英语 |
资助项目 | National 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研究方向 | Automation & Control Systems ; Mathematics |
WOS类目 | Automation & Control Systems ; Mathematics, Applied |
WOS记录号 | WOS:000385009500020 |
出版者 | SIAM PUBLICATIONS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/23970 |
专题 | 系统科学研究所 |
通讯作者 | Zhang, G. F. |
作者单位 | 1.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 |
推荐引用方式 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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