Quantum Fisher information and spin squeezing in one-axis twisting model

doi:10.1088/1674-1056/23/6/060302

中国物理B ›› 2014, Vol. 23 ›› Issue (6): 60302-060302.doi: 10.1088/1674-1056/23/6/060302

Quantum Fisher information and spin squeezing in one-axis twisting model

钟伟, 刘京, 马健, 王晓光

Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China

收稿日期:2013-12-03 修回日期:2014-02-20 出版日期:2014-06-15 发布日期:2014-06-15
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2012CB921602) and the National Natural Science Foundation of China (Grant Nos. 11025527 and 10935010).

Quantum Fisher information and spin squeezing in one-axis twisting model

Zhong Wei (钟伟), Liu Jing (刘京), Ma Jian (马健), Wang Xiao-Guang (王晓光)

Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China

Received:2013-12-03 Revised:2014-02-20 Online:2014-06-15 Published:2014-06-15
Contact: Wang Xiao-Guang E-mail:xgwang@zimp.zju.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2012CB921602) and the National Natural Science Foundation of China (Grant Nos. 11025527 and 10935010).

摘要/Abstract

摘要： We investigate the dependence of the average parameter estimation precision (APEP), which is defined by the quantum Fisher information, on the polar angle of the initial coherent spin state |θ₀,φ₀> in a one-axis twisting model. Jin et al. [New J. Phys. 11 (2009) 073049] found that the spin squeezing sensitively depends on the polar angle θ₀ of the initial coherent spin state. We show explicitly that the APEP is robust to the initial polar angle θ₀ in the vicinity of π/2 and a near-Heisenberg limit ∝2/N in quantum single-parameter estimation may still be achieved for states created with the nonlinear evolution of the nonideal coherent spin states θ₀～π/2. Based on this model, we also consider the effects of the collective dephasing on spin squeezing and the APEP.

关键词: quantum Fisher information, spin squeezing, one-axis twisting model

Abstract: We investigate the dependence of the average parameter estimation precision (APEP), which is defined by the quantum Fisher information, on the polar angle of the initial coherent spin state |θ₀,φ₀> in a one-axis twisting model. Jin et al. [New J. Phys. 11 (2009) 073049] found that the spin squeezing sensitively depends on the polar angle θ₀ of the initial coherent spin state. We show explicitly that the APEP is robust to the initial polar angle θ₀ in the vicinity of π/2 and a near-Heisenberg limit ∝2/N in quantum single-parameter estimation may still be achieved for states created with the nonlinear evolution of the nonideal coherent spin states θ₀～π/2. Based on this model, we also consider the effects of the collective dephasing on spin squeezing and the APEP.

Key words: quantum Fisher information, spin squeezing, one-axis twisting model

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

06.20.-f (Metrology) 42.50.Dv (Quantum state engineering and measurements)

钟伟, 刘京, 马健, 王晓光. Quantum Fisher information and spin squeezing in one-axis twisting model[J]. 中国物理B, 2014, 23(6): 60302-060302.

Zhong Wei (钟伟), Liu Jing (刘京), Ma Jian (马健), Wang Xiao-Guang (王晓光). Quantum Fisher information and spin squeezing in one-axis twisting model[J]. Chin. Phys. B, 2014, 23(6): 60302-060302.

参考文献 47

[1]	Fisher R A 1925 Proc. Cambridge Philos. Soc. 22 700
[2]	Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic Press) p. 268
[3]	Holevo A S 1982 Probabilistic and Statistical Aspects of Quantum Theory (Amsterdam: North-Holland) p. 276
[4]	Braunstein S L and Caves C M 1994 Phys. Rev. Lett. 72 3439
[5]	Braunstein S L, Caves C M and Milburn G J 1996 Ann. Phys. 247 135
[6]	Zhong W, Sun Z, Ma J, Wang X G and Nori F 2013 Phys. Rev. A 87 022337
[7]	Zhang Y Y, Chen Q H and Wang K L 2010 Phys. Rev. B 81 121105
[8]	Rivas Á and Luis A 2010 Phys. Rev. Lett. 105 010403
[9]	Girolami D, Tufarelli T and Adesso G 2013 Phys. Rev. Lett. 110 240402
[10]	Pezze L and Smerzi A 2009 Phys. Rev. Lett. 102 100401
[11]	Laskowski P W, Krischek R, Schwemmer C, Wieczorek W, Weinfurter H, Pezze L and Smerzi A 2012 Phys. Rev. A 85 022321
[12]	Lu X M, Wang X G and Sun C P 2010 Phys. Rev. A 82 042103
[13]	Berrada K 2013 Phys. Rev. A 88 035806
[14]	Yan D, Liu Y and Song L J 2011 Acta Phys. Sin. 60 120302 (in Chinese)
[15]	Wang X Q, Ma J, Zhang X H and Wang X G 2011 Chin. Phys. B 20 050510
[16]	Sun Z, Lu X M and Wang X G 2010 Phys. Rev. A 82 022306
[17]	Huang Y X, Zhong W, Sun Z and Wang X G 2012 Phys. Rev. A 86 012320
[18]	Wineland D J, Bollinger J J, Itano W M, Moore F L and Heinzen D J 1992 Phys. Rev. A 46 R6797
[19]	Wineland D J, Bollinger J J, Itano W M and Heinzen D J 1994 Phys. Rev. A 50 67
[20]	Ma J, Wang X G, Sun C P and Nori F 2011 Phys. Rep. 509 89
[21]	Xue P 2012 Chin. Phys. B 21 100306
[22]	Kitagawa M and Ueda M 1993 Phys. Rev. A 47 5138
[23]	Jin G R, Liu Y C and Liu W M 2009 New J. Phys. 11 073049
[24]	Chen D W, Yan D and Song L J 2009 Acta Phys. Sin. 58 3679 (in Chinese)
[25]	Liu W F, Xiong H N, Ma J and Wang X G 2010 Int. J. Theor. Phys. 49 1073
[26]	Sun H G, Liu W F and Li C J 2011 Chin. Phys. B 20 090301
[27]	Hald J, Sorensen J L, Schori C and Polzik E S 1999 Phys. Rev. Lett. 83 1319
[28]	Takeuchi M, Ichihara S, Takano T, Kumakura M, Yabuzaki T and Takahashi Y 2005 Phys. Rev. Lett. 94 023003
[29]	Kuzmich A, Mandel L and Bigelow N P 2000 Phys. Rev. Lett. 85 1594
[30]	Chaudhury S, Merkel S, Herr T, Silberfarb A, Deutsch I H and Jessen P S 2007 Phys. Rev. Lett. 99 163002
[31]	Fernholz T, Krauter H, Jensen K, Sherson J F, Sorensen A S and Polzik E S 2008 Phys. Rev. Lett. 101 073601
[32]	Takano T, Fuyama M, Namiki R and Takahashi Y 2009 Phys. Rev. Lett. 102 033601
[33]	Khodorkovsky Y, Kurizki G and Vardi A 2009 Phys. Rev. A 80 023609
[34]	Liu Y C, Jin G R and You L 2010 Phys. Rev. A 82 045601
[35]	Dorner U 2012 New J. Phys. 14 043011
[36]	Ferrini G, Spehner D, Minguzzi A and Hekking F W J 2011 Phys. Rev. A 84 043628
[37]	Giovannetti V, Lloyd S and Maccone L 2006 Phys. Rev. Lett. 96 010401
[38]	Escher B M, de Matos Fillo R L and Davidovich L 2011 Nat. Phys. 7 406
[39]	Demkowicz-Dobrzański R, Kolodyński J and Gută M 2012 Nat. Commun. 3 1063
[40]	Yurke B, McCall S L and Klauder J R 1986 Phys. Rev. A 33 4033
[41]	Hyllus P, Gühne O and Smerzi A 2010 Phys. Rev. A 82 012337
[42]	Petrov P G, Oblak D, Alzar C L G, Kjægaard N and Polzik E S 2007 Phys. Rev. A 75 033803
[43]	Chaudhury S, Smith G A, Schulz K and Jessen P S 2006 Phys. Rev. Lett. 96 043001
[44]	Gross C, Zibold T, Nicklas E, Estève J and Oberthaler M K 2010 Nature 464 1165
[45]	Riedel M F, Böhi P, Li Y, Hänsch T W, Sinatra A and Treutlein P 2010 Nature 464 1170
[46]	Sønsen A, Duan L M, Cirac J I and Zoller P 2001 Nature 409 63
[47]	Schleier-Smith M H, Leroux I D and Vuletic V 2010 Phys. Rev. A 81 021804

Quantum Fisher information and spin squeezing in one-axis twisting model

Quantum Fisher information and spin squeezing in one-axis twisting model

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