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Chin. Phys. B, 2017, Vol. 26(7): 074206    DOI: 10.1088/1674-1056/26/7/074206

Quantum interference between heralded single photon stateand coherent state

Lei Yang(杨磊)1, Xiaoxin Ma(马晓欣)2, Xiaoying Li(李小英)1
1 College of Precision Instrument and Opto-Electronics Engineering, Tianjin University, Key Laboratory of Opto-Electronics Information Technology, Ministry of Education, Tianjin 300072, China;
2 High School Affiliated to Beijing Institute of Technology, Beijing 100089, China
Abstract  Balanced homodyne detection has been introduced as a reliable technique of reconstructing the quantum state of a single photon Fock state, which is based on coupling the single photon state and a strong coherent local oscillator in a beam splitter and detecting the field quadrature at the output ports separately. The main challenge associated with a tomographic characterization of the single photon state is mode matching between the single photon state and the local oscillator. Utilizing the heralded single photon generated by the spontaneous parametric process, the multi-mode theoretical model of quantum interference between the single photon state and the coherent state in the fiber beam splitter is established. Moreover, the analytical expressions of the temporal-mode matching coefficient and interference visibility and relationship between the two parameters are shown. In the experimental scheme, the interference visibility under various temporal-mode matching coefficients is demonstrated, which is almost accordant with the theoretical value. Our work explores the principle of temporal-mode matching between the single photon state and the coherent photon state, originated from a local oscillator, and could provide guidance for designing the high-performance balanced homodyne detection system.
Keywords:  heralded single photon state      coherent state      quantum interference      balanced homodyne detection     
Received:  18 February 2017      Published:  05 July 2017
PACS:  42.50.-p (Quantum optics)  
  03.67.-a (Quantum information)  
  42.65.-k (Nonlinear optics)  
  42.81.-i (Fiber optics)  
Fund: Project supported by the National Special Fund for Major Research Instrument Development of China (Grant No.11527808),the Young Scientists Fund of the National Natural Science Foundation of China (Grant No.11504262),the National Basic Research Program of China (Grant No.2014CB340103),the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.20120032110055),and the Tianjin Research Program of Application Foundation and Advanced Technology,China (Grant No.14JCQNJC02300).
Corresponding Authors:  Xiaoying Li     E-mail:

Cite this article: 

Lei Yang(杨磊), Xiaoxin Ma(马晓欣), Xiaoying Li(李小英) Quantum interference between heralded single photon stateand coherent state 2017 Chin. Phys. B 26 074206

[1] Stucki D, Gisin N, Guinnard O, Ribordy G and Zbinden H 2002 New J. Phys. 4 41
[2] Mi J L, Wang F Q, Lin Q Q and Liang R S 2008 Chin. Phys. B 17 1178
[3] Chen J J, Han Z F, Zhao Y B, Gui Y Z and Guo G C 2006 Physics 35 785
[4] Knill E, Laflamme R and Milburn G J 2001 Nature 409 46
[5] Bouwmeester D, Pan J W, Mattle K, Eibl M, Weinfurter H and Zeilinger A 1997 Nature 390 575
[6] Hong C K and Mandel L 1986 Phys. Rev. Lett. 56 58
[7] Lounis B and Orrit M 2005 Rep. Prog. Phys. 68 1129
[8] Pittman T B, Jacobs B C and Franson J D 2005 Opt. Commun. 246 545
[9] Yang L, Ma X X, Guo X S, Cui L and Li X Y 2011 Phys. Rev. A 83 053843
[10] Lvovsky A I, Hansen H, Aichele T, Benson O, Mlynek J and Schiller S 2001 Phys. Rev. Lett. 87 050402
[11] Burch E T, Henelsmith C, Larson W and Beck M 2015 Phys. Rev. A 92 032328
[12] Bimbard E, Boddeda R, Vitrant N, Grankin A, Parigi V, Stanojevic J, Ourjoumtsev A and Grangier P 2014 Phys. Rev. Lett. 112 033601
[13] Wang J C, Liu S T and Wang Y Y 2010 Chin. Phys. B 19 074206
[14] Shapiro J H 1985 IEEE J. Quantum Elect. QE-21 237
[15] Zavatta A, Bellini M, Ramazza P L, Marin F and Arecchi F T 2002 J. Opt. Soc. Am. B 19 1189
[16] Leonhardt U 1995 Phys. Rev. Lett. 74 4101
[17] Lvovsky A I and Raymer M G 2009 Rev. Mod. Phys. 81 299
[18] Banaszek K and Wodkiewicz K 1997 Phys. Rev. A 55 3117
[19] Ma X X, Cui L and Li X Y 2015 J. Opt. Soc. Am. B 32 946
[20] Hong C K, Ou Z Y and Mandel L 1987 Phys. Rev. Lett. 59 2044
[21] Ma X X, Li X Y, Cui L, Guo X S and Yang L 2011 Phys. Rev. A 84 023829
[22] Caves C M 1982 Phys. Rev. D 26 1817
[23] Glauber R J 1963 Phys. Rev. 130 2529
[24] Ou Z Y, Rhee J K and Wang L J 1999 Phys. Rev. A 60 593
[25] Yang L, Li X Y and Wang B S 2008 Acta Phys. Sin. 57 4933 (in Chinese)
[26] Jian Y, Wu E, Wu G and Zeng H P 2010 IEEE Photon. Tech. Lett. 22 173
[27] Natarajan C M, Tanner and Hadfield R H 2012 Supercond. Sci. Tech. 25 63001
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