Deformed photon-added entangled squeezed vacuum and one-photon states: Entanglement, polarization, and nonclassical properties

doi:10.1088/1674-1056/25/4/040303

中国物理B ›› 2016, Vol. 25 ›› Issue (4): 40303-040303.doi: 10.1088/1674-1056/25/4/040303

Deformed photon-added entangled squeezed vacuum and one-photon states: Entanglement, polarization, and nonclassical properties

A Karimi, M K Tavassoly

1 Atomic and Molecular Group, Faculty of Physics, Yazd University, Yazd, Iran;
2 The Laboratory of Quantum Information Processing, Yazd University, Yazd, Iran;
3 Physics Group, Islamic Azad University of Abadeh, Fars, Iran

收稿日期:2015-09-18 修回日期:2015-10-16 出版日期:2016-04-05 发布日期:2016-04-05
通讯作者: A Karimi, M K Tavassoly E-mail:amirkarimi.phy@stu.yazd.ac.ir;mktavassoly@yazd.ac.ir

Deformed photon-added entangled squeezed vacuum and one-photon states: Entanglement, polarization, and nonclassical properties

A Karimi^1,3, M K Tavassoly^1,2

1 Atomic and Molecular Group, Faculty of Physics, Yazd University, Yazd, Iran;
2 The Laboratory of Quantum Information Processing, Yazd University, Yazd, Iran;
3 Physics Group, Islamic Azad University of Abadeh, Fars, Iran

Received:2015-09-18 Revised:2015-10-16 Online:2016-04-05 Published:2016-04-05
Contact: A Karimi, M K Tavassoly E-mail:amirkarimi.phy@stu.yazd.ac.ir;mktavassoly@yazd.ac.ir

摘要/Abstract

摘要： In this paper, after a brief review on the entangled squeezed states, we produce a new class of the continuous-variable-type entangled states, namely, deformed photon-added entangled squeezed states. These states are obtained via the iterated action of the f-deformed creation operator A=f(n)a^† on the entangled squeezed states. In the continuation, by studying the criteria such as the degree of entanglement, quantum polarization as well as sub-Poissonian photon statistics, the two-mode correlation function, one-mode and two-mode squeezing, we investigate the nonclassical behaviors of the introduced states in detail by choosing a particular f-deformation function. It is revealed that the above-mentioned physical properties can be affected and so may be tuned by justifying the excitation number, after choosing a nonlinearity function. Finally, to generate the introduced states, we propose a theoretical scheme using the nonlinear Jaynes-Cummings model.

关键词: squeezed states, deformed photon-added entangled states, entanglement, quantum polarization

Abstract: In this paper, after a brief review on the entangled squeezed states, we produce a new class of the continuous-variable-type entangled states, namely, deformed photon-added entangled squeezed states. These states are obtained via the iterated action of the f-deformed creation operator A=f(n)a^† on the entangled squeezed states. In the continuation, by studying the criteria such as the degree of entanglement, quantum polarization as well as sub-Poissonian photon statistics, the two-mode correlation function, one-mode and two-mode squeezing, we investigate the nonclassical behaviors of the introduced states in detail by choosing a particular f-deformation function. It is revealed that the above-mentioned physical properties can be affected and so may be tuned by justifying the excitation number, after choosing a nonlinearity function. Finally, to generate the introduced states, we propose a theoretical scheme using the nonlinear Jaynes-Cummings model.

Key words: squeezed states, deformed photon-added entangled states, entanglement, quantum polarization

中图分类号: (Entanglement production and manipulation)

03.67.Bg

42.50.Dv (Quantum state engineering and measurements) 42.50.-p (Quantum optics)

A Karimi, M K Tavassoly. Deformed photon-added entangled squeezed vacuum and one-photon states: Entanglement, polarization, and nonclassical properties[J]. 中国物理B, 2016, 25(4): 40303-040303.

A Karimi, M K Tavassoly. Deformed photon-added entangled squeezed vacuum and one-photon states: Entanglement, polarization, and nonclassical properties[J]. Chin. Phys. B, 2016, 25(4): 40303-040303.

参考文献 83

[1]	Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
[2]	Bennett C H, Brassard G, Créeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[3]	Ekert A 1991 Phys. Rev. Lett. 67 661
[4]	Barenco A, Dutch D, Ekert A and Jozsa R 1995 Phys. Rev. Lett. 74 4083
[5]	Bužek V, Barranco A V and Knight P L 1992 Phys. Rev. A 45 6570
[6]	Donodov V V, Malkin I A and Man'ko V I 1974 Physica 72 597
[7]	Yurke B and Stoler D 1986 Phys. Rev. Lett. 57 13
[8]	Sanders B C 1992 Phys. Rev. A 45 6811
[9]	Yurke B and Stoler D 1987 Phys. Rev. A 35 4846
[10]	Karimi A and Tavassoly M K 2015 Phys. Scr. 90 015101
[11]	de Matos Filho R L and Vogel W 1996 Phys. Rev. A 54 4560
[12]	Zhang Z M, Yang J and Yu Y F 2007 Chin. Phys. Lett. 24 352
[13]	Kuanga L M, Zeng A H and Kuang Z H 2003 Phys. Lett. A 319 24
[14]	Barnett S M and Knight P L 1985 J. Opt. Soc. Am. B 2 467
[15]	Barnett S M and Knight P L 1987 J. Mod. Opt. 34 841
[16]	Hong-yi F 1990 Phys. Rev. A 41 1526
[17]	Stoler D 1970 Phys. Rev. D 1 3217
[18]	Stoler D 1971 Phys. Rev. D 4 1935
[19]	Slusher R E, Hollberg L W, Yurke B, Mertz J C and ValleySlusher J F 1985 Phys. Rev. Lett. 55 2409
[20]	Wang J, Sui Q and Wang C 1995 Quantum Semiclass. Opt. 7 917
[21]	Zhao L H, Yang Z Y, Zhang Z J and Hou X 2000 Acta Photon. Sin. 29 193
[22]	Hou Y, Meng J D, Tian L K, Hu Y F, Wan Y and Yang Z Y 2001 Acta Photon. Sin. 30 1194
[23]	Ming C S, Xu D G and An Y Y 2002 Acta Photon. Sin. 31 412
[24]	Shapiro J H 1980 Opt. Lett. 5 351
[25]	Righini G C, Tajani A and Cutolo A 2009 An Introduction to Optoelectronic Sensors (Singapore: World Scientific)
[26]	Caves C M 1981 Phys. Rev. D 23 1693
[27]	Bennett C H, Bessette F, Brassard G, Salvail L and Smolin J A 1992 J. Cryptology 5 3
[28]	Muller A, Breguet J and Gisin N 1993 Europhys. Lett. 23 383
[29]	Kwiat P G, Mattle K, Weinfurter H, Zeilinger A, Sergienko A V and Shih Y 1995 Phys. Rev. Lett. 75 4337
[30]	Mattle K, Weinfurter H, Kwiat P G and Zeilinger A 1996 Phys. Rev. Lett. 76 4656
[31]	Bouwmeester D, Pan J W, Mattle K, Eibl M, Weinfurter H and Zeilinger A 1997 Nature 390 575
[32]	Luis A 2002 Phys. Rev. A 66 013806
[33]	Barbieri M, De Martini F, Di Nepi G, Mataloni P, De Ariano G M and Macchiavello C 2003 Phys. Rev. Lett. 91 227901
[34]	Luis A 2005 Phys. Rev. A 71 063815
[35]	Luis A 2007 Phys. Rev. A 75 053806
[36]	Stokes G G 1852 Trans. Cambridge Philos. Soc. 9 399
[37]	Glauber J 1963 Phys. Rev. 131 2766
[38]	Agarwal G S, Tara K 1991 Phys. Rev. A 43 492
[39]	Zavatta A, Viciani S, Bellini M 2005 Phys. Rev. A 72 023820
[40]	Safaeian O and Tavassoly M K 2011 J. Phys. A: Math. Theor. 44 225301
[41]	Dibakar E, Tavassoly M K and karimi A 2015 Phys. Scr. 90 085102
[42]	Jaynes E T and Cummings F W 1963 Proc. IEEE 51 89
[43]	Cummings F W 1965 Phys. Rev. A 140 1051
[44]	Gerry C C and Knight P L 2005 Introductory Quantum Optics (Cambridge: Cambridge University Press)
[45]	Buck B and Sukumar C V 1981 Phys. Lett. A 81 132
[46]	Agarwal G S and Singh S 1982 Phys. Rev. A 25 3195
[47]	Huang C, Tang L, Kong F, Fang J and Zhou M 2006 Physica A 368 25
[48]	Sukumar C V and Buck B 1984 J. Phys. A: Math. Gen. 17 877
[49]	Fink J M, Goppl M, Baur M, Bianchetti R, Leek P J, Blais A and Wallraff A 2008 Nature 454 315
[50]	Hill S and Wootters W K 1997 Phys. Rev. Lett. 78 5022
[51]	Mann A, Sanders B C and Munro W J 1995 Phys. Rev. A 51 989
[52]	Rungta P, Buzék V, Caves C M, Hillery M and Milburn G J 2001 Phys. Rev. A 64 042315
[53]	Kuang L M and Zhou L 2003 Phys. Rev. A 68 043606
[54]	Wang X G 2002 J. Phys. A: Math. Gen. 35 165
[55]	Bennett C H, Bernstein H J, Popescu S and Schumacher B 1996 Phys. Rev. A 53 2046
[56]	Agarwal G S and Biswas A 2005 J. Opt. B: Quantum Semiclass. Opt. 7 350
[57]	Miry S R and Tavassoly M K 2012 J. Phys. B: At. Mol. Opt. Phys. 45 175502
[58]	Collett E 1970 Am. J. Phys. 38 563
[59]	Brosseau C 1998 Fundamentals of Polarized Light: A Statistical Optics Approach (New York: Wiley)
[60]	Mandel L 1979 Opt. Lett. 4 205
[61]	Davidovich L 1996 Rev. Mod. Phys. 68 127
[62]	Paul H 1982 Rev. Mod. Phys. 54 1061
[63]	Song T Q and Fan H Y 2002 J. Phys. A: Math. Gen. 35 1071
[64]	Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[65]	Baghshahi H R, Tavassoly M K and Behjat A 2014 Chin. Phys. B 23 074203
[66]	Baghshahi H R, Tavassoly M K and Behjat A 2014 Commun. Theor. Phys. 62 430
[67]	Baghshahi H R and Tavassoly M K 2015 Eur. Phys. J. Plus 130 37
[68]	Buck B and Sukumar C V 1981 Phys. Lett. A 81 132
[69]	Sukumar C V and Buck B 1981 Phys. Lett. A 83 211
[70]	Buek V 1989 Phys. Rev. A 39 3196
[71]	Sudha Singh, C H Reimond Ooi, Amrita 2012 Phys. Rev. A 86 023810
[72]	Gora P and Jedrzejek C 1992 Phys. Rev. A 45 6816
[73]	Klimov A B and Chumakov S M 2009 A Group-Theoretical Approach to Quantum Optics (Cambridge: Cambridge University Press)
[74]	Rastegarzadeh M and Tavassoly M K 2015 Phys. Scr. 90 025103
[75]	Naderi M H, Soltanolkotabi M, Roknizadeh R 2005 Eur. Phys. J. D 32 397
[76]	Yadollahi F, Tavassoly M K 2011 Opt. Commun. 284 608
[77]	Yadollahi F, Tavassoly M K 2012 Int. J. Mod. Phys. B 26 1250027
[78]	Davidovich L, Raimond J M, Brune M and Haroche S 1987 Phys. Rev. A 36 3771
[79]	Sing S 1982 Phys. Rev. A 25 3206
[80]	Font J L, Fernádez-Soler J J, Vilaseca R and Gauthier D J 2005 Phys. Rev. A 72 063810
[81]	Shore B W and Knight P L 1993 J. Mod. Opt. 40 1195
[82]	Baghshahi H R, Tavassoly M K and Behjat A 2014 Chin. Phys. B 23 074203
[83]	Baghshahi H R, Tavassoly M K and Behjat A 2014 Commun. Theor. Phys. 62 430

Deformed photon-added entangled squeezed vacuum and one-photon states: Entanglement, polarization, and nonclassical properties

Deformed photon-added entangled squeezed vacuum and one-photon states: Entanglement, polarization, and nonclassical properties

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 83

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Qi Sun(孙琪), Tao Li(李陶), Zhi-Xiang Jin(靳志祥), and Deng-Feng Liang(梁登峰). Unified entropy entanglement with tighter constraints on multipartite systems[J]. 中国物理B, 2023, 32(3): 30304-030304.
[2]	Xiao-Qiang Su(苏晓强), Zong-Ju Xu(许宗菊), and You-Quan Zhao(赵有权). Entanglement and thermalization in the extended Bose-Hubbard model after a quantum quench: A correlation analysis[J]. 中国物理B, 2023, 32(2): 20506-020506.
[3]	Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳). Transformation relation between coherence and entanglement for two-qubit states[J]. 中国物理B, 2023, 32(1): 10304-010304.
[4]	Kai-Qian Huang(黄恺芊), Wei-Lin Li(李蔚琳), Wen-Lei Zhao(赵文垒), and Zhi Li(李志). Characterizing entanglement in non-Hermitian chaotic systems via out-of-time ordered correlators[J]. 中国物理B, 2022, 31(9): 90301-090301.
[5]	Yuan-Yuan Liu(刘元元), Zhi-Ming Zhang(张智明), Jun-Hao Liu(刘军浩), Jin-Dong Wang(王金东), and Ya-Fei Yu(於亚飞). Nonreciprocal coupling induced entanglement enhancement in a double-cavity optomechanical system[J]. 中国物理B, 2022, 31(9): 94203-094203.
[6]	A-Peng Liu(刘阿鹏), Liu-Yong Cheng(程留永), Qi Guo(郭奇), Shi-Lei Su(苏石磊), Hong-Fu Wang(王洪福), and Shou Zhang(张寿). Direct measurement of two-qubit phononic entangled states via optomechanical interactions[J]. 中国物理B, 2022, 31(8): 80307-080307.
[7]	Jin Xu(徐瑾), Xiaoguang Chen(陈晓光), Rong Zhang(张蓉), and Hanwei Xiao(肖晗微). Purification in entanglement distribution with deep quantum neural network[J]. 中国物理B, 2022, 31(8): 80304-080304.
[8]	Zhan-Yun Wang(王展云), Feng-Lin Wu(吴风霖), Zhen-Yu Peng(彭振宇), and Si-Yuan Liu(刘思远). Robustness of two-qubit and three-qubit states in correlated quantum channels[J]. 中国物理B, 2022, 31(7): 70302-070302.
[9]	Yong-Ting Liu(刘永婷), Yi-Ming Wu(吴一鸣), and Fang-Fang Du(杜芳芳). Self-error-rejecting multipartite entanglement purification for electron systems assisted by quantum-dot spins in optical microcavities[J]. 中国物理B, 2022, 31(5): 50303-050303.
[10]	Odette Melachio Tiokang, Fridolin Nya Tchangnwa, Jaures Diffo Tchinda,Arthur Tsamouo Tsokeng, and Martin Tchoffo. Effects of colored noise on the dynamics of quantum entanglement of a one-parameter qubit—qutrit system[J]. 中国物理B, 2022, 31(5): 50306-050306.
[11]	Xiang Chen(陈想), Jin-Hua Zhang(张晋华), and Fu-Lin Zhang(张福林). Probabilistic resumable quantum teleportation in high dimensions[J]. 中国物理B, 2022, 31(3): 30302-030302.
[12]	Qian Dong(董茜), R. Santana Carrillo, Guo-Hua Sun(孙国华), and Shi-Hai Dong(董世海). Tetrapartite entanglement measures of generalized GHZ state in the noninertial frames[J]. 中国物理B, 2022, 31(3): 30303-030303.
[13]	Ying-Hai Wu(吴英海). Entanglement spectrum of non-Abelian anyons[J]. 中国物理B, 2022, 31(3): 37302-037302.
[14]	Hai-Jun Yu(余海军) and Hong-Yi Fan(范洪义). Time evolution law of a two-mode squeezed light field passing through twin diffusion channels[J]. 中国物理B, 2022, 31(2): 20301-020301.
[15]	Hua-Yang Li(李华阳), Yu-Zhen Wei(魏玉震), Yi Ding(丁祎), and Min Jiang(姜敏). Channel parameters-independent multi-hop nondestructive teleportation[J]. 中国物理B, 2022, 31(2): 20302-020302.