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Abstract:

The interaction of a two-level cyclic XY n-spin model with a two-mode cavity field involving two-photon transitions is investigated through a generalized Jaynes-Cummings model in the rotating-wave approximation. The two-photon interacting Hamiltonian becomes from the replacement of each single-mode field in the one-photon interacting Hamiltonian with the second-harmonic generation. It was assumed that initially the correlated field modes are in disentangled coherent states having the same photon distribution and that the spin system is in an excited state. At any time t ≥ 0, the spin system and the field are in an entangled state, in this case, via a unitary time evolution operator. Thus, the spontaneous decay of a spin level was treated by considering the interaction of the two-level spin system with the modes of the universe in the vacuum state. The different cases of interest, characterized in terms of a detuning parameter for each mode, which emerge from nonvanishing commutation relations, were analytically implemented and numerically discussed for various values of the initial mean photon number and spin-photon coupling constants. Photon distribution, time evolution of the spin population inversion, as well as the statistical properties of the field leading to the possible production of nonclassical states, such as antibunched light, violations of the Cauchy-Schwartz inequality, and second-and fourth-order squeezing, are examined. The case of zero detuning of both modes was treated in terms of a linearization of the expansion of the time evolution operator, while in other three cases, the computations were conducted via second- and third-order Dyson perturbation expansion of the time evolution operator matrix elements for the excited and ground states of the spin system, respectively. © 2008 American Chemical Society.

Registro:

Documento: Artículo
Título:Nonclassical effects of a two-level spin system interacting with a two-mode cavity field via two-photon transition
Autor:Grinberg, H.
Filiación:Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Palabras clave:Flow interactions; Hamiltonians; Harmonic generation; Photons; Population statistics; Quantum optics; Cavity fields; Coherent states; Commutation relations; Coupling constants; Detuning; Detuning parameters; Entangled states; Mode fields; Nonclassical effects; Nonclassical states; Perturbation expansions; Photon distributions; Photon numbers; Photon transitions; Schwartz inequalities; Second-harmonic generations; Spin levels; Spin models; Spin populations; Spin systems; Spontaneous decays; Statistical properties; Time evolution operators; Time evolutions; Vacuum states; Wave approximations; Spin dynamics
Año:2008
Volumen:112
Número:50
Página de inicio:16140
Página de fin:16157
DOI: http://dx.doi.org/10.1021/jp8075244
Título revista:Journal of Physical Chemistry B
Título revista abreviado:J Phys Chem B
ISSN:15206106
CODEN:JPCBF
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15206106_v112_n50_p16140_Grinberg

Referencias:

  • Javnes, E.T., Cummings, F.W., (1963) Proc. IEEE, 51, p. 89
  • Stenholm, S., (1973) Phys. Rep, 6 C (1)
  • Yoo, H.I., Eberly, J.H., (1985) Phys. Rep, 118, p. 239
  • Shore, B.W., Knight, P.L., (1993) J. Mod. Opt, 40, p. 1195
  • Puri, R.R., Agarwal, G.S., (1987) Phys. Rev, A35, p. 3433
  • Puri, R.R., Agarwal, G.S., (1988) Phys. Rev, A37, p. 3879
  • Eberly, J.H., Narozhny, N.B., Sánchez-Mondragón, J.J., (1980) Phys. Rev. Lett, 44, p. 1323
  • Narozhny, N.B., Sánchez-Mondragón, J.J., Eberly, J.H., (1981) Phys. Rev, A23, p. 236
  • Yoo, H.I., Sánchez-Mondragón, J.J., Eberly, J.H., (1981) J. Phys. (Paris), A14, p. 1383
  • Gerry, C.C., Eberly, H.H., (1990) Phys. Rev, A42, p. 6805
  • Fu-li. L.; Gao. S.-y. Phys. Rev. 2000, A62, 043809; Meschede, D., Walther, H., Muller, G., (1985) Phys. Rev. Lett, 54, p. 551
  • Kaluzny, Y., Goy, P., Gross, M., Raimond, J.M., Haroche, S., (1983) Phys. Rev. Lett, 51, p. 1175
  • Haroche, S., Raimond, J.M., (1985) Advances in Atomic and Molecular Physics, 20, p. 347. , Bates, D. R, Bederson, B, Eds, Academic: New York
  • Resch, K.J., Lundeen, J.S., Steinberg, A.M., (2001) Phys. Rev, A63, pp. 020102R
  • Lu, Y.J., Ou, Z.Y., (2002) Phys. Rev. Lett, 88, p. 023601
  • Hennrich, M., Kuhn, A., Rempe, G., (2005) Phys. Rev. Lett, 94, p. 053604
  • Knight, P.L., Radmore, P.M., (1982) Phys. Rev, A26, p. 676
  • Joshi, A., Puri, R.R., (1990) Phys. Rev, A42, p. 4336
  • Brune, M., Hagley, E., Dreyer, J., Maître, X., Maali, A., Wunder-lich, C., Raimond, J.M., Haroche, S., (1996) Phys. Rev. Lett, 77, p. 4487
  • Gardiner, C.W., Zoller, P., (2000) Quantum Noise, , 2nd ed; Springer: Berlin, Germany
  • Bloch, F., Siegert, A.J., (1940) Phys. Rev, 57, p. 522
  • Goldberg, P., Harrison, L.C., (1991) Phys. Rev, A43, p. 376
  • Law, C.K., Chen, T.W., Leung, P.T., (2000) Phys. Rev, A61, p. 023808
  • Law, C.K., Eberly, J.H., (1996) Phys. Rev. Lett, 76, p. 1055
  • Lewenstein, M., Zhu, Y., Mossberg, T.W., (1990) Phys. Rev. Lett, 64, p. 3131
  • Holm, D. A.; M; Sargent, M.. III; Stenholm, S. J. J. Opt. Soc. Am. 1985, B2, 1456; Lewenstein, M., Mossberg, T.W., (1988) Phys. Rev, A38, p. 1075
  • Sugahara, M., Krachinin, S., (2001) Mod. Phys. Lett, B15, p. 473
  • Makhlin, Y., Schon, G., Shnirman, A., (2001) Rev. Mod. Phys, 73, p. 357
  • Wolf, S.A., Awschalom, D.D., Buhrman, R.A., Daughton, J.M., von Molnár, S., Roukes, M.L., Chtchelkanova, A.Y., Treger, D.M., (2001) Science, 294, p. 1488
  • Ball, P., (2000) Nature, 404, p. 918
  • (2000) The Physics of Quantum Information: Quantum Cryptography, Quantum Teleportation, Quantum Computation, , Bouwmeester, D, Ekert, A, Zeilinger, Z, Eds, Springer Verlag: Berlin, Germany
  • Chaba, A.N., Collet, M.J., Wall, D.F., (1992) Phys.Rev, A46, p. 1499
  • Cirac, J.I., Blatt, R., Parkings, A.S., Zoller, P., (1994) Phys. Rev, A49, p. 1202
  • Gerrv, C.C., Welch, R.F., (1992) J. Opt. Soc. Am, B9, p. 290
  • Gou, S.C., (1989) Phys. Rev, A40, p. 5116
  • Bloembergen, N., Shen, Y.R., (1964) Phys. Rev, A 37, p. 133
  • Mollow, B.R., (1972) Phys. Rev, A5, p. 2217
  • Law, C.K., Eberly, J.H., (1991) Phys. Rev, A43, p. 6337
  • Cardimona, D.A., Kovanis, V., Sharma, M.P., Gavrielides, M.P., (1991) Phys. Rev, A43, p. 3710
  • Grinberg, H., (2005) Phys. Lett, A344, p. 170
  • Grinberg, H., (2006) Phys. Lett, A350, p. 428
  • Grinberg, H., (2006) Int. J. Quantum Chem, 106, p. 1769
  • Grinberg, H., (2008) Int. J. Quantum Chem, 108, p. 210
  • Grinberg, H., (2008) Int. J. Mod. Phys, B22, p. 599
  • Crooks, R.H., Khreshchenko, D.V., (2008) Phys. Rev, A77, pp. 062305-023818
  • Macovei, M., Li, G.-X., (2007) Phys. Rev, pp. A76
  • Makin, M.I., Cole, J.H., Tahan, C., Hollenberg, L.C.C., Greentree, A.D., (2008) Phys. Rev, A77, p. 053819
  • Lieb, E., Schultz, T., Mattis, D., (1961) Ann. Phys, 16, p. 407
  • Chai, C.-L., (1992) Phys. Rev, A46, p. 7187
  • Li, Y.-G., Edwards, P.J., Huang, X., Wang, Y., (2000) J. Opt, B2, p. 292
  • Ficek, Z., Tanas, R., (2002) Phys. Rep, 372, p. 369
  • Mandel, L., (1982) Opt. Commun, 43, p. 437
  • Anicich, P.G.O., Grinberg, H., (2002) Int. J. Quantum Chem, 90, p. 1562
  • Grinberg, H., (2003) Phys. Lett, A311, p. 133
  • Louisell, W.H., (1990) Quantum Statistical Properties of Radiation, , Wiley: New York
  • Meystre, P., Sargent III, M., (1998) Elements of Quantum Optics, , 3rd ed, Springer-Verlag: Berlin, Germany
  • Boscaino, R., Gelardi, F.M., (1978) J. Phys. (Paris), C11, pp. L475
  • Abdalla, M.S., Khalil, E.M., Obada, A.S.-F., (2007) Ann. Phys, 322, p. 2554
  • Hillery and Zubairy in their path-integral approach to problems in quantum optics, Hillery, M, Zubairy, M. S. Phys. Rev. 1982, A26, 451. have considered the quadratic Hamiltonian script H sign, ∑iN=∑jN=1 [wij(t) ai†aj, fijaiaj, f*ij(t) ai† aj†, Assuming that wij(t) and fij(t) have been chosen so that wij(t) → wjσij and fij(t) → gjσij, the resultant Hamiltonian is similar to that of eq 17 with N, 2; Pathak, P.K., Agarwal, G.S., (2004) Phys. Rev, A70, p. 043807
  • Sukumar, C.V., Buck, B., (1981) Phys. Lett, A83, p. 211
  • Singh, S., (1982) Phys. Rev, A25, p. 3206
  • Gerry, C.C., Moyer, P.J., (1988) Phys. Rev, A38, p. 5665
  • Lo, C.F., Liu, K.L., No, K.M., (1998) Europhys. Lett, 42, p. 1
  • Sánchez-Mondragón, J.J., Narozhny, N.B., Eberly, J.H., (1983) Phys. Rev. Lett, 51, p. 550
  • Hofmann, H.F., (2004) Phys. Rev, A70, p. 023812
  • U'Ren, A.B., Silberborn, C., Ball, J.L., Banaszek, K., Walmsley, I.A., (2005) Phys. Rev, A72, p. 021802
  • Xiong, J., Zhou, N., Zeng, G., (2005) J. Phys. (Paris), B38, p. 4301
  • Reid, M.D., Walls, D.F., (1986) Phys. Rev, A34, p. 1260
  • Deb, R.N., Abdalla, M.S., Hassan, S.S., Nayak, N., (2006) Phys. Rev, A73, p. 053817
  • Mandel, L., (1981) Phys. Rev. Lett, 47, p. 709
  • Hong, C.K., Mandel, L., (1985) Phys. Rev, A32, p. 974
  • Hong, C.K., Mandel, L., (1985) Phys. Rev. Lett, 54, p. 323
  • Hillery, M., (1987) Phys. Rev, A36, p. 3796
  • Lynch, R., (1994) Phys. Rev, A49, p. 2800
  • Kumar Giri, D., Gupta, P.S., (2003) J. Opt, B5, p. 158
  • Sudheesh, C., Lakshmibala, S., Balakrishnan, V., (2005) J. Opt, B7, pp. S728
  • Prakash, H., Kumar, P., (2005) J. Opt, B7, pp. S786
  • Gerry, C., Rodriguez, S., (1987) Phys. Rev, 35, p. 4440
  • Schleich, W., Pernigo, M., Le Kien, F., (1991) Phys. Rev, A44, p. 2172

Citas:

---------- APA ----------
(2008) . Nonclassical effects of a two-level spin system interacting with a two-mode cavity field via two-photon transition. Journal of Physical Chemistry B, 112(50), 16140-16157.
http://dx.doi.org/10.1021/jp8075244
---------- CHICAGO ----------
Grinberg, H. "Nonclassical effects of a two-level spin system interacting with a two-mode cavity field via two-photon transition" . Journal of Physical Chemistry B 112, no. 50 (2008) : 16140-16157.
http://dx.doi.org/10.1021/jp8075244
---------- MLA ----------
Grinberg, H. "Nonclassical effects of a two-level spin system interacting with a two-mode cavity field via two-photon transition" . Journal of Physical Chemistry B, vol. 112, no. 50, 2008, pp. 16140-16157.
http://dx.doi.org/10.1021/jp8075244
---------- VANCOUVER ----------
Grinberg, H. Nonclassical effects of a two-level spin system interacting with a two-mode cavity field via two-photon transition. J Phys Chem B. 2008;112(50):16140-16157.
http://dx.doi.org/10.1021/jp8075244