CONTINUOUS-MODE MULTIPHOTON FILTERING

doi:10.1137/15M1023099

CSpace > 系统科学研究所

	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.