Optical enhanced interferometry with two-mode squeezed twin-Fock states and parity detection

doi:10.1088/1674-1056/ab6837

Abstract We theoretically investigate the quantum enhanced metrology using two-mode squeezed twin-Fock states and parity detection. Our results indicate that, for a given initial squeezing parameter, compared with the two-mode squeezed vacuum state, both phase sensitivity and resolution can be enhanced when the two-mode squeezed twin-Fock state is considered as an input state of a Mach-Zehnder interferometer. Within a constraint on the total photon number, although the two-mode squeezed vacuum state gives the better phase sensitivity when the phase shift φ to be estimated approaches to zero, the phase sensitivity offered by these non-Gaussian entangled Gaussian states is relatively stable with respect to the phase shift itself. When the phase shift slightly deviates from φ=0, the phase sensitivity can be still enhanced by the two-mode squeezed twin-Fock state over a broad range of the total mean photon number where the phase uncertainty is still below the quantum standard noise limit. Finally, we numerically prove that the quantum Cramér-Rao bound can be approached with the parity detection.

Keywords: quantum optics phase sensitivity quantum metrology

Received: 11 September 2019
Revised: 30 November 2019
Accepted manuscript online:

PACS:	42.50.Dv	(Quantum state engineering and measurements)
	03.65.Ta	(Foundations of quantum mechanics; measurement theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11404040) and Qing Lan Project of the Higher Educations of Jiangsu Province of China.

Corresponding Authors: Shuai Wang, Xue-Fen Xu
E-mail: wshslxy@jsut.edu.cn;xuxf@wxit.edu.cn

Cite this article:

Li-Li Hou(侯丽丽), Shuai Wang(王帅), Xue-Fen Xu(许雪芬) Optical enhanced interferometry with two-mode squeezed twin-Fock states and parity detection 2020 Chin. Phys. B 29 034203

[1]	Yurke B, McCall S L and Klauder J R 1986 Phys. Rev. A 33 4033
[2]	Caves C M 1981 Phys. Rev. D 23 1693
[3]	Wei C P, Hu X Y and Zhang Z M 2016 Chin. Phys. B 25 040601
[4]	Guo L L, Yu Y F and Zhang Z M 2018 Opt. Express. 26 29099
[5]	Pezzé L and Smerzi A 2008 Phys. Rev. Lett. 100 073601
[6]	Seshadreesan K P, Anisimov P M, Lee H and Dowling J P 2011 New J. Phys. 13 083026
[7]	Holland M J and Burnett K 1993 Phys. Rev. Lett. 71 1355
[8]	Ou Z Y 1996 Phys. Rev. Lett. 77 2352
[9]	Lee H, Kok P and Dowling J P 2002 J. Mod. Opt. 49 2325
[10]	Dowling J P 2008 Contemp. Phys. 49 125
[11]	Rubin M A and Kaushik S 2007 Phys. Rev. A 75 053805
[12]	Jiang K, Brignac C J, Weng Y, Kim M B, Lee H and Dowling J P 2012 Phys. Rev. A 86 013826
[13]	Campos R A, Gerry C C and Benmoussa A 2003 Phys. Rev. A 68 023810
[14]	Sun F W, Liu B H, Gong Y X, Huang Y F, Ou Z Y and Guo G C 2008 Europhys. Lett. 82 24001
[15]	Xiang G Y, Higgins B L, Berry D W, Wiseman H M and Pryde G J 2011 Nat. Photon. 5 43
[16]	Xiang G Y, Hofmann H F and Pryde G J 2013 Sci. Rep. 3 2684
[17]	Jin R B, Fujiwara M, Shimizu R, Collins R J, Buller G S, Yamashita T, Miki S, Terai H, Takeoka M and Sasaki M 2016 Sci. Rep. 6 36914
[18]	Wei C P and Zhang Z M 2017 J. Mod. Opt. 64 743
[19]	Anisimov P M, Raterman G M, Chiruvelli A, Plick W N, Huver S D, Lee H and Dowling J P 2010 Phys. Rev. Lett. 104 103602
[20]	Eberle T, Händchen V and Schnabel R 2013 Opt. Expres 21 11546
[21]	Gerry C C and Mimih J 2010 Phys. Rev. A 82 013831
[22]	Carranza R and Gerry C C 2012 J. Opt. Soc. Am. B 29 2581
[23]	Hou L L, Xue J Z, Sui Y X and Wang S 2019 Chin. Phys. B 28 094217
[24]	Ouyang Y, Wang S and Zhan L J 2016 J. Opt. Soc. Am. B 33 1373
[25]	Chizhow A V and Murzakhmetov B K 1993 Phys. Lett. A 176 33
[26]	Dell'Anno F, De Siena S and Illuminati F 2006 Open Sys. Inform. 13 383
[27]	Namiki R 2010 J. Phys. Soc. Jpn. 79 013001
[28]	Xiang S, Zhu X and Song K 2018 Chin. Phys. B 27 100305
[29]	Hu L Y and Fan H Y 2008 Commun. Theor. Phys. 50 965
[30]	Tilma T, Hamaji S, Munro W J and Nemoto K 2010 Phys. Rev. A 81 022108
[31]	Braun D, Adesso G, Benatti F, Floreanini R, Marzolino U, Mitchell M W and Pirandola S 2018 Rev. Mod. Phys. 90 035006
[32]	Pezzé L and Smerzi A 2018 Rev. Mod. Phys. 90 035005
[33]	Bennett C H, Bernstein H J, Popescu S and Schumacher B 1996 Phys. Rev. A 53 2046
[34]	Helstrom C W 1976 Quantum detection and estimation theory (New York: Academic Press)
[35]	Ben-Aryeh Y 2012 J. Opt. Soc. Am. B 29 2754
[36]	Seshadreesan K P, Kim S, Dowling J P and Lee H 2013 Phys. Rev. A 87 043833
[37]	Li D, Yuan C H, Ou Z Y and Zhang W P 2014 New J. Phys. 16 073020
[38]	Oh C, Lee S Y, Nha H and Jeong H 2017 Phys. Rev. A 96 062304
[39]	Anderson B E, Gupta P, Schmittberger B L, Horrom T, Hermann-Avigliano C, Jones K M and Lett P D 2017 Optica 4 752
[40]	Plick W N, Dowling J P and Agarwal G S 2010 New J. Phys. 12 083014
[41]	Marino A M, Corzo Trejo N V and Lett P D 2012 Phys. Rev. A 86 023844
[42]	Szigeti S S, Lewis-Swan R J and Haine S A 2017 Phys. Rev. Lett. 118 150401
[43]	Anderson B E, Schmittberger B L, Gupta P, Jones K M and Lett P D 2017 Phys. Rev. A 95 063843
[44]	Fan H Y and Ruan T N 1983 Commun. Theor. Phys. 2 1563
[45]	Puri R R 2001 Mathematical methods of quantum optics (Berlin: Springer-Verlag), Appendix A
[46]	Wang S, Wang Y T, Zhai L J and Zhang L J 2018 J. Opt. Soc. Am. B 35 1046

[1]	Beating standard quantum limit via two-axis magnetic susceptibility measurement Zheng-An Wang(王正安), Yi Peng(彭益), Dapeng Yu(俞大鹏), and Heng Fan(范桁). Chin. Phys. B, 2022, 31(4): 040309.
[2]	Quantum metrology with coherent superposition of two different coded channels Dong Xie(谢东), Chunling Xu(徐春玲), and Anmin Wang(王安民). Chin. Phys. B, 2021, 30(9): 090304.
[3]	Light-shift induced by two unbalanced spontaneous decay rates in EIT (CPT) spectroscopies under Ramsey pulse excitation Xiaoyan Liu(刘晓艳), Xu Zhao(赵旭), Jianfang Sun(孙剑芳), Zhen Xu(徐震), and Zhengfeng Hu(胡正峰). Chin. Phys. B, 2021, 30(8): 083203.
[4]	Super-sensitivity measurement of tiny Doppler frequency shifts based on parametric amplification and squeezed vacuum state Zhi-Yuan Wang(王志远), Zi-Jing Zhang(张子静), and Yuan Zhao(赵远). Chin. Phys. B, 2021, 30(7): 074202.
[5]	Signal-recycled weak measurement for ultrasensitive velocity estimation Sen-Zhi Fang(方森智), Yang Dai(戴阳), Qian-Wen Jiang(姜倩文), Hua-Tang Tan(谭华堂), Gao-Xiang Li(李高翔), and Qing-Lin Wu(吴青林). Chin. Phys. B, 2021, 30(6): 060601.
[6]	Multilevel atomic Ramsey interferometry for precise parameter estimations X N Feng(冯夏宁) and L F Wei(韦联福). Chin. Phys. B, 2021, 30(12): 120601.
[7]	Optical nonreciprocity in a piezo-optomechanical system Yu-Ming Xiao(肖玉铭), Jun-Hao Liu(刘军浩), Qin Wu(吴琴), Ya-Fei Yu(於亚飞), Zhi-Ming Zhang(张智明). Chin. Phys. B, 2020, 29(7): 074204.
[8]	Quantum speed limit time of a non-Hermitian two-level system Yan-Yi Wang(王彦懿), Mao-Fa Fang(方卯发). Chin. Phys. B, 2020, 29(3): 030304.
[9]	Construction of Laguerre polynomial's photon-added squeezing vacuum state and its quantum properties Dao-Ming Lu(卢道明). Chin. Phys. B, 2020, 29(3): 030301.
[10]	A low-noise, high-SNR balanced homodyne detector for the bright squeezed state measurement in 1-100 kHz range Jin-Rong Wang(王锦荣), Qing-Wei Wang(王庆伟), Long Tian(田龙), Jing Su(苏静), Yao-Hui Zheng(郑耀辉). Chin. Phys. B, 2020, 29(3): 034205.
[11]	Realization of ultralow power phase locking by optimizing Q factor of resonant photodetector Jin-Rong Wang(王锦荣), Hong-Yu Zhang(张宏宇), Zi-Lin Zhao(赵子琳), and Yao-Hui Zheng(郑耀辉). Chin. Phys. B, 2020, 29(12): 124207.
[12]	Quantum optical interferometry via general photon-subtracted two-mode squeezed states Li-Li Hou(侯丽丽), Jian-Zhong Xue(薛建忠), Yong-Xing Sui(眭永兴), Shuai Wang(王帅). Chin. Phys. B, 2019, 28(9): 094217.
[13]	Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer Chun-Li Liu(刘春丽), Li-Li Guo(郭丽丽), Zhi-Ming Zhang(张智明), Ya-Fei Yu(於亚飞). Chin. Phys. B, 2019, 28(6): 060704.
[14]	Quantum interferometry via a coherent state mixed with a squeezed number state Li-Li Hou(侯丽丽), Yong-Xing Sui(眭永兴), Shuai Wang(王帅), Xue-Fen Xu(许雪芬). Chin. Phys. B, 2019, 28(4): 044203.
[15]	Double-passage mechanical cooling in a coupled optomechanical system Qing-Xia Mu(穆青霞), Chao Lang(郎潮), Wen-Zhao Zhang(张闻钊). Chin. Phys. B, 2019, 28(11): 114206.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Optical enhanced interferometry with two-mode squeezed twin-Fock states and parity detection

Cite this article:

Online attention