Enhancement of the Hong-Mandel Higher-Order Squeezing and Amplitude Odd-Power Squeezing in Even Coherent State by its Superposition with Vacuum State

• Authors: P. Kumar , R. Kumar , H. Prakash
• Languages of publication: EN

Abstracts

EN

We study the Hong-Mandel 2n th-order squeezing of the Hermitian operator, X_θ ≡ X₁cosθ + X₂sinθ and amplitude n th-power squeezing of the Hermitian operator, Y_θ^{(n)} ≡ Y₁^{(n)}cosθ + Y₂^{(n)}sinθ in superposed state |ψ⟩ = K[|α,+⟩ + re^{iφ}|0⟩], of vacuum state and even coherent state defined by |α,+⟩ = K_+[|α⟩+|-α⟩]. Here operators X_{1,2} are defined by X₁ + iX₂ = a, operators Y_{1,2}^{(n)} are defined by Y₁^{(n)} + iY₂^{(n)} = aⁿ, a is the annihilation operator, α, θ, r and φ are arbitrary and the only restriction on these is the normalization condition of the superposed state. We show that the Hong-Mandel 2n th-order squeezing and amplitude odd-power squeezing exhibited by even coherent state enhance in its superposition with vacuum state. Variations of these higher-orders squeezing with different parameters near its maxima have also been discussed.

Keywords

EN

coherent state; non-classical features of optical field; the Hong-Mandel higher-order squeezing; amplitude n th-power squeezing; phase shifting operator

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 6
• Pages: 1485-1490

Dates

published

2017-06

received

2016-07-24

Contributors

author

P. Kumar

• Department of Physics, Bhavan's Mehta Mahavidyalaya (V.S. Mehta College of Science), Bharwari, Kaushambi-212201 (U.P.), India

author

R. Kumar

• Department of Physics, Udai Pratap Autonomous College, Varanasi-221002 (U.P.), India

author

H. Prakash

• Department of Physics, University of Allahabad, Allahabad (U.P.)-211002(U.P.), India

References

• [1] D.F. Walls, Nature 306, 141 (1983), doi: 10.1038/306141a0
• [1a] R. Loudon, P.L. Knight, J. Mod. Opt. 34, 709 (1987), doi: 10.1080/09500348714550721
• [1b] V.V. Dodonov, J. Opt. B 4, R1 (2002), doi: 10.1088/1464-4266/4/1/201
• [2] B.R. Mollow, R.J. Glauber, Phys. Rev. 160, 1076, 1097 (1967), doi: 10.1103/PhysRev.160.1076
• [2a] N. Chandra, H. Prakash, Phys. Rev. 1, 1696 (1970), doi: 10.1103/PhysRevA.1.1696
• [2b] N. Chandra, H. Prakash, Lett. Nuovo. Cim. 4, 1196 (1970)
• [2c] N. Chandra, H. Prakash, Ind. J. Pure Appl. Phys 9, 409, 677, 688 (1971)
• [2d] H. Prakash, N. Chandra, Vachaspati, Ind. J. Pure Appl. Phys. 13, 757, 763 (1975)
• [2e] H. Prakash, N. Chandra, Vachaspati, Ind. J. Pure Appl. Phys. 14, 41, 48 (1976)
• [2f] H. Prakash, N. Chandra, Vachaspati, Phys. Rev. A 9, 2167 (1974), doi: 10.1103/PhysRevA.9.2167
• [3] H.P. Yuen, J.H. Shapiro, IEEE Trans. Inform. Theory IT 24, 657 (1978), doi: 10.1109/TIT.1978.1055958
• [3a] J.H. Shapiro, H.P. Yuen, J.A. Machado Mata, IEEE Trans. Inform. Theory IT 25, 179 (1979), doi: 10.1109/TIT.1979.1056033
• [3b] H.P. Yuen, J.H. Shapiro, IEEE Trans. Inform. Theory IT 26, 78 (1980), doi: 10.1109/TIT.1980.1056132
• [4] C.H. Bennett, P.W. Shor, J.A. Smolin, A.V. Thapliyal, Phys. Rev. Lett. 83, 3081 (1999), doi: 10.1103/PhysRevLett.83.3081
• [4a] B. Schumacher, Phys. Rev. A 54, 2614 (1996), doi: 10.1103/PhysRevA.54.2614
• [4b] B. Schumacher, M.A. Nielsen, Phys. Rev. A 54, 2629 (1996), doi: 10.1103/PhysRevA.54.2629
• [5] S.L. Braunstein, G.M. D'Ariano, G.J. Milburn, M.F. Sacchi, Phys. Rev. Lett. 84, 3486 (2000), doi: 10.1103/PhysRevLett.84.3486
• [5a] S.L. Braunstein, H.J. Kimble, Phys. Rev. Lett. 80, 869 (1998), doi: 10.1103/PhysRevLett.80.869
• [5b] C.H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993), doi: 10.1103/PhysRevLett.70.1895
• [6] S.L. Braunstein, H.J. Kimble, Phys. Rev. A 61, 042302 (2000), doi: 10.1103/PhysRevA.61.042302
• [7] C.H. Bernnett, G. Brassard, N.D. Mermin,Phys. Rev. Lett. 68, 557 (1992), doi: 10.1103/PhysRevLett.68.557
• [7a] J. Kempe, Phys. Rev. A 60, 910 (1999), doi: 10.1103/PhysRevA.60.910
• [8] J.N. Hollenhorst, Phys. Rev. D 19, 1669 (1979), doi: 10.1103/PhysRevD.19.1669
• [8a] C.M. Caves, Phys. Rev. D 23, 1693 (1981), doi: 10.1103/PhysRevD.23.1693
• [9] R.J. Glauber, Phys. Rev. 131, 2766 (1963), doi: 10.1103/PhysRev.131.2766
• [10] C.K. Hong, L. Mandel, Phys. Rev. A 32, 974 (1985), doi: 10.1103/PhysRevA.32.974
• [10a] C.K. Hong, L. Mandel, Phys. Lett. A 54, 323 (1985), doi: 10.1103/PhysRevLett.54.323
• [11] M. Hillery, Phys. Rev. A 36, 3796 (1986), doi: 10.1103/PhysRevA.36.3796
• [11a] M. Hillery, Phys. Rev. A 40, 3147 (1989), doi: 10.1103/PhysRevA.40.3147
• [12] Z.M. Zhang, L. Xu, J.L. Cai, F.L. Li, Phys. Lett. A 150, 27 (1990), doi: 10.1016/0375-9601(90)90054-R
• [13] R. Prakash, A.K. Yadav, Opt. Commun. 285, 2387 (2012), doi: 10.1016/j.optcom.2012.01.007
• [14] R. Jackiw, J. Math. Phys. 9, 339 (1986)
• [15] R. Lynch, Phys. Rev. A 33, 4431 (1986), doi: 10.1103/PhysRevA.33.4431
• [15a] C.K. Hong, L. Mandel, Phys. Rev. A 33, 4432 (1986), doi: 10.1103/PhysRevA.33.4432
• [15b] R. Lynch, Phys. Rev. A 49, 2800 (1994), doi: 10.1103/PhysRevA.49.2800
• [16] P. Kumar, R. Kumar, Optik 124, 2229 (2013), doi: 10.1016/j.ijleo.2012.06.106
• [17] H.P. Yuen, J.H. Shapiro, Opt. Lett. 4, 334 (1979), doi: 10.1364/OL.4.000334
• [17a] D.F. Walls, P. Zoller, Phys. Rev. Lett. 47, 709 (1981), doi: 10.1103/PhysRevLett.47.709
• [17b] G. Milburn, D.F. Walls, Opt. Commun. 39, 401 (1981), doi: 10.1016/0030-4018(81)90232-7
• [17c] W. Becker, M.O. Scully, M.S. Zubairy, Phys. Rev. Lett. 48, 475 (1982), doi: 10.1103/PhysRevLett.48.475
• [17d] B. Yurke, Phys. Rev. A 29, 408 (1984), doi: 10.1103/PhysRevA.29.408
• [18] See. e.g., L. Mandel, Opt. Commun. 42, 437 (1982), doi: 10.1016/0030-4018(82)90283-8
• [18a] M. Kozierowski, S. Kielich, Phys. Lett. A 94, 213 (1983), doi: 10.1016/0375-9601(83)90451-6
• [18b] P. Meystre, M.S. Zubairy, Phys. Lett. A 89, 390 (1982), doi: 10.1016/0375-9601(82)90330-9
• [19] See. e.g., F.L. Kien, M. Kozierowski, T. Quang, Phys. Rev. A 38, 263 (1988), doi: 10.1103/PhysRevA.38.263
• [19a] L. Xizeng, S. Ying, Phys. Rev. A 40, 7384 (1989), doi: 10.1103/PhysRevA.40.7384
• [19b] J.J. Gong, P. K. Aravind, Phys. Rev. A 46, 1586 (1992), doi: 10.1103/PhysRevA.46.1586
• [20] G.J. Millburn, Phys. Rev. A 33, 674 (1986), doi: 10.1103/PhysRevA.33.674
• [20a] C.G. Gerry, Phys. Rev. A 35, 2146 (1987), doi: 10.1103/PhysRevA.35.2146
• [20b] V. Buzek, Phys. Lett. 136, 188 (1989), doi: 10.1016/0375-9601(89)90558-6
• [20c] C.C. Gerry, S. Rodrigues, Phys. Rev. A 35, 4440 (1987), doi: 10.1103/PhysRevA.35.4440
• [20d] J. Bajer, A. Miranowicz, R. Tanas, Czech. J. Phys. 52, 1313 (2002), doi: 10.1023/A:1021867510898
• [20e] C.C. Gerry, E.R. Vrscay, Phys. Rev. A 37, 1779 (1988), doi: 10.1103/PhysRevA.37.1779
• [20f] R. Tanas, Phys. Lett. A 141, 217 (1989), doi: 10.1016/0375-9601(89)90471-4
• [20g] H. Prakash, P. Kumar, Int. J. Mod. Phys. B 20, 1458 (2006), doi: 10.1142/S0217979206034042
• [20h] R. Kumar, H. Prakash, Can. J. Phys. 88, 181 (2010), doi: 10.1088/1464-4266/7/12/046
• [21] M. Hillery, Opt. Commun. 62, 135 (1987), doi: 10.1016/0030-4018(87)90097-6
• [21a] D. Yu, Phys. Rev. A 45, 2121 (1992), doi: 10.1103/PhysRevA.45.2121
• [21b] M.H. Mahran, A.S.F. Obada, Phys. Rev. A 40, 4476 (1989), doi: 10.1103/PhysRevA.40.4476
• [21c] H. Prakash, R. Kumar, B Int. J. Mod. Phys. 21, 3621 (2007), doi: 10.1142/S0217979207037570
• [22] V. Bužek, A. Vidiella-Barranco, P.L. Knight, Phys. Rev. A 45, 6570 (1992), doi: 10.1103/PhysRevA.45.6570
• [23] W. Schleich, M. Pernigo, Fam Le Kien, Phys. Rev. A 44, 2172 (1991), doi: 10.1103/PhysRevA.44.2172
• [24] J. Janszky, An.V. Vinogradov, Phys. Rev. Lett. 64, 2771 (1990), doi: 10.1103/PhysRevLett.64.2771
• [25] Yunjie Xia, Guangcan Guo, Phys. Lett. A 136, 281 (1989), doi: 10.1016/0375-9601(89)90815-3
• [26] Si-De Du, Chang-De Gong, Phys. Lett. A 168, 296 (1992), doi: 10.1016/0375-9601(92)91135-E
• [27] H. Prakash, P. Kumar, Physica A 319, 305 (2003), doi: 10.1016/S0378-4371(02)01405-X
• [27a] H. Prakash, P. Kumar, Acta Phys. Pol. B 34, 2769 (2003)
• [27b] H. Prakash, P. Kumar, Physica A 341, 201 (2004), doi: 10.1016/j.physa.2004.04.119
• [27c] H. Prakash, P. Kumar, Eur. Phys. J. D 46, 359 (2008), doi: 10.1140/epjd/e2007-00304-5
• [27d] H. Prakash, P. Kumar, Optik 122, 1058 (2011), doi: 10.1016/j.ijleo.2010.07.004
• [28] H. Prakash, R. Kumar, P. Kumar, Opt. Commun. 284, 289 (2011), doi: 10.1016/j.optcom.2010.09.019
• [29] P. Kumar, R. Kumar, H. Prakash, Optik 127, 4826 (2016), doi: 10.1016/j.ijleo.2016.01.126
• [30] B. Yurke, D. Stoler, Phys. Rev. Lett. 57, 13 (1986), doi: 10.1103/PhysRevLett.57.13
• [30a] G.J. Milburn, C.A. Holmes, Phys. Rev. Lett. 56, 2237 (1986), doi: 10.1103/PhysRevLett.56.2237
• [30b] A. Mecozzi, P. Tombesi, Phys. Rev. Lett. 58, 1055 (1987), doi: 10.1103/PhysRevLett.58.1055
• [30c] P. Tombesi, A. Mecozzi, J. Opt. Soc. Am. B 4, 1700 (1987), doi: 10.1364/JOSAB.4.001700
• [30d] B.C. Sanders, Phys. Rev. A 39, 4284 (1989), doi: 10.1103/PhysRevA.39.4284
• [30e] J.J. Slosser, P. Meystre, E.M. Wright, Opt. Lett. 15, 233 (1990), doi: 10.1364/OL.15.000233
• [31] C.M. Caves, B. Yurke, Phys. Rev. A 41, 5261 (1990), doi: 10.1103/PhysRevA.41.5261
• [31a] B. Yurke, W. Schleich, D.F. Walls, Phys. Rev. A 42, 1703 (1991), doi: 10.1103/PhysRevA.42.1703
• [31b] A. La Porta, R.E. Slusher, B. Yurke, Phys. Rev. Lett. 62, 26 (1989), doi: 10.1103/PhysRevLett.62.26

Identifiers

DOI

10.12693/APhysPolA.131.1485