Spin squeezing in Dicke-class of states with non-orthogonal spinors
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摘要
The celebrated Majorana representation is exploited to investigate spin squeezing in different classes of pure symmetric states of N qubits with two distinct spinors, namely the Dicke-class of states. On obtaining a general expression for spin squeezing parameter, the variation of squeezing for different configurations is studied in detail. It is shown that the states in the Dicke-class, characterized by two-distinct non-orthogonal spinors, exhibit squeezing.
The celebrated Majorana representation is exploited to investigate spin squeezing in different classes of pure symmetric states of N qubits with two distinct spinors, namely the Dicke-class of states. On obtaining a general expression for spin squeezing parameter, the variation of squeezing for different configurations is studied in detail. It is shown that the states in the Dicke-class, characterized by two-distinct non-orthogonal spinors, exhibit squeezing.
The celebrated Majorana representation is exploited to investigate spin squeezing in different classes of pure symmetric states of N qubits with two distinct spinors, namely the Dicke-class of states. On obtaining a general expression for spin squeezing parameter, the variation of squeezing for different configurations is studied in detail. It is shown that the states in the Dicke-class, characterized by two-distinct non-orthogonal spinors, exhibit squeezing.
引文
[1] Kimble H J and Walls D F 1987 J. Opt. Soc. 4 1450
[2] Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[3] Wodkiewicz K 1985 Phys. Rev. B 32 4750
[4] Kitegawa M and Ueda M 1993 Phys. Rev. A 47 5138
[5] Wineland D J, Bollinger J J, Itano W M and Heinzen D J 1994 Phys Rev. A 50 67
[6] Agarwal G S and Puri R R 1990 Phys. Rev. A 41 3782
[7] Agarwal G S and Puri R R 1994 Phys. Rev. A 49 4968
[8] Puri R R 1997 Pramana 48 787
[9] Mallesh K S, Swarnamala Sirsi, Sbaih M A A, Deepak P N and Ramachandran G 2000 J. Phys. A:Math. Gen. 33 779
[10] Sorenson A, Duan L M, Cirac J I and Zoller P 2001 Nature 409 63
[11] Ulam-Orgikh D and Kitagawa M 2001 Phys. Rev. A 64 052106
[12] Usha Devi A R, Mallesh K S, Sbaih M A A, Nalini K B and Ramachandran G 2003 J. Phys. A:Math. Gen. 36 5333
[13] Usha Devi A R, Wang X and Sanders B C 2003 Quantum Inf. Proc. 2209
[14] Usha Devi A R and Sudha 2011 Asian Journal of Physics 20 131
[15] Wang X and Sanders B C 2003 Phys. Rev. A 68 03382
[16] Wang X and Molmer K 2002 Eur. Phys. J. D 18 385
[17] Usha Devi A R, Uma M S, Prabhu R and Sudha 2006 Int. J. Mod. Phys.B. 20 1917
[18] Usha Devi A R, Uma M S, Prabhu R and Sudha 2005 J. Opt. B:Quantum Semiclass. Opt. 7 S740
[19] Yan D, Wang X G, Song L J and Zong Z G 2007 Cent. Eur. J. Phys. 5367
[20] Usha Devi A R, Uma M S, Prabhu R and Rajagopal A K 2007 Phys.Lett. A 364 203
[21] Toth G, Knapp C, Guhne O, Briegel H J 2009 Phys. Rev. A 79 042334
[22] Ma J, Wang X, Sun C P and Nori F 2011 Phys. Rep. 509 89
[23] Vitagliano G, Hyllus P, Egusquiza I L and Toth G 2011 Phys. Rev. Lett.107 240502
[24] Song-song Li 2011 Int. J. Theor. Phys. 50 719
[25] Divyamani B G, Sudha and Usha Devi A R 2016 Int. J. Theor. Phys. 552324
[26] Wanlu Song, Wanli Yang, Junhong An and Mang Feng 2017 Opt. Express 25 19226
[27] Caves C M 1981 Phys. Rev. D 23 1693
[28] Yurke B 1986 Phys. Rev. Lett. 56 1515
[29] Kitegawa M and Ueda M 1991 Phys. Rev. Lett. 67 1852
[30] Majorana E 1932 Nuovo Cimento 9 43
[31] Bastin T, Krins S, Mathonet P, Godefroid M, Lamata L and Solano2009 E Phys. Rev. Lett. 103 070503
[32] Usha Devi A R, Sudha and Rajgopal A K 2012 Quantum Inf. Proc. 11685
[33] Sackett C A, et al. 2000 Nature 404 256
[34] Usha Devi A R, Prabhu R and Rajagopal A K 2007 Phys. Rev. Lett. 98060501
[35] Akhilesh K S, Divyamani B G, Sudha, Usha Devi A R and Mallesh K S 2019 Quantum. Inf. Proc. 18 144
[2] Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[3] Wodkiewicz K 1985 Phys. Rev. B 32 4750
[4] Kitegawa M and Ueda M 1993 Phys. Rev. A 47 5138
[5] Wineland D J, Bollinger J J, Itano W M and Heinzen D J 1994 Phys Rev. A 50 67
[6] Agarwal G S and Puri R R 1990 Phys. Rev. A 41 3782
[7] Agarwal G S and Puri R R 1994 Phys. Rev. A 49 4968
[8] Puri R R 1997 Pramana 48 787
[9] Mallesh K S, Swarnamala Sirsi, Sbaih M A A, Deepak P N and Ramachandran G 2000 J. Phys. A:Math. Gen. 33 779
[10] Sorenson A, Duan L M, Cirac J I and Zoller P 2001 Nature 409 63
[11] Ulam-Orgikh D and Kitagawa M 2001 Phys. Rev. A 64 052106
[12] Usha Devi A R, Mallesh K S, Sbaih M A A, Nalini K B and Ramachandran G 2003 J. Phys. A:Math. Gen. 36 5333
[13] Usha Devi A R, Wang X and Sanders B C 2003 Quantum Inf. Proc. 2209
[14] Usha Devi A R and Sudha 2011 Asian Journal of Physics 20 131
[15] Wang X and Sanders B C 2003 Phys. Rev. A 68 03382
[16] Wang X and Molmer K 2002 Eur. Phys. J. D 18 385
[17] Usha Devi A R, Uma M S, Prabhu R and Sudha 2006 Int. J. Mod. Phys.B. 20 1917
[18] Usha Devi A R, Uma M S, Prabhu R and Sudha 2005 J. Opt. B:Quantum Semiclass. Opt. 7 S740
[19] Yan D, Wang X G, Song L J and Zong Z G 2007 Cent. Eur. J. Phys. 5367
[20] Usha Devi A R, Uma M S, Prabhu R and Rajagopal A K 2007 Phys.Lett. A 364 203
[21] Toth G, Knapp C, Guhne O, Briegel H J 2009 Phys. Rev. A 79 042334
[22] Ma J, Wang X, Sun C P and Nori F 2011 Phys. Rep. 509 89
[23] Vitagliano G, Hyllus P, Egusquiza I L and Toth G 2011 Phys. Rev. Lett.107 240502
[24] Song-song Li 2011 Int. J. Theor. Phys. 50 719
[25] Divyamani B G, Sudha and Usha Devi A R 2016 Int. J. Theor. Phys. 552324
[26] Wanlu Song, Wanli Yang, Junhong An and Mang Feng 2017 Opt. Express 25 19226
[27] Caves C M 1981 Phys. Rev. D 23 1693
[28] Yurke B 1986 Phys. Rev. Lett. 56 1515
[29] Kitegawa M and Ueda M 1991 Phys. Rev. Lett. 67 1852
[30] Majorana E 1932 Nuovo Cimento 9 43
[31] Bastin T, Krins S, Mathonet P, Godefroid M, Lamata L and Solano2009 E Phys. Rev. Lett. 103 070503
[32] Usha Devi A R, Sudha and Rajgopal A K 2012 Quantum Inf. Proc. 11685
[33] Sackett C A, et al. 2000 Nature 404 256
[34] Usha Devi A R, Prabhu R and Rajagopal A K 2007 Phys. Rev. Lett. 98060501
[35] Akhilesh K S, Divyamani B G, Sudha, Usha Devi A R and Mallesh K S 2019 Quantum. Inf. Proc. 18 144