Artículo

El editor solo permite decargar el artículo en su versión post-print desde el repositorio. Por favor, si usted posee dicha versión, enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

The nonclassical squeezing effect emerging from a nonlinear coupling model (generalized Jaynes-Cummings model) of a two-level atom interacting resonantly with a bimodal cavity field via two-photon transitions is investigated in the rotating wave approximation. Various Bloch coherent initial states (rotated states) for the atomic system are assumed, i.e., (i) ground state, (ii) excited state, and (iii) linear superposition of both states. Initially, the atomic system and the field are in a disentangled state, where the field modes are in Glauber coherent states via Poisson distribution. The model is numerically tested against simulations of time evolution of the based Heisenberg uncertainty relation variance and Shannon information entropy squeezing factors. The quantum state purity is computed for the three possible initial states and used as a criterion to get information about the entanglement of the components of the system. Analytical expression of the total density operator matrix elements at t>0 shows, in fact, the present nonlinear model to be strongly entangled, where each of the definite initial Bloch coherent states is reduced to statistical mixtures. Thus, the present model does not preserve the modulus of the Bloch vector. © 2014 Elsevier GmbH. All rights reserved.

Registro:

Documento: Artículo
Título:Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models
Autor:Grinberg, H.
Filiación:IFIBA, Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Palabras clave:Atomic population inversion; Bloch coherent states; Information entropy; Quantum state purity; Variance squeezing
Año:2014
Volumen:125
Número:19
Página de inicio:5566
Página de fin:5572
DOI: http://dx.doi.org/10.1016/j.ijleo.2014.07.065
Título revista:Optik
Título revista abreviado:Optik
ISSN:00304026
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v125_n19_p5566_Grinberg

Referencias:

  • Jaynes, E.T., Cummings, F.W., Comparison of quantum and semiclassical radiation theories with application to the beam maser (1963) Proc. IEEE, 51, pp. 89-109
  • Shore, B.W., Knight, P.L., The jaynes-cummings model (1993) J. Mod. Opt., 40, pp. 1195-1238
  • Louisell, W.H., (1973) Quantum Statistical Properties of Radiation, , John Wiley and Sons, New York
  • Schleich, W.P., (2001) Quantum Optics in Phase Space, , Wiley-VCH, Berlin
  • Yoo, H.-I., Eberly, J.H., Dynamical theory of an atom with quantized cavity fields (1985) Phys. Rep., 118, pp. 239-337
  • Grinberg, H., Interaction ofa two-level XYn-spin model with a cavity field (2005) Phys. Lett. A, 344, pp. 170-183
  • Grinberg, H., Population inversion, temperature, and photon distributions ofthe generalized fermionic Ising ferromagnetic model: Path-integral representation ofthe spin system (2006) Int. J. Quantum Chem., 106, pp. 1769-1781
  • Grinberg, H., Dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-model cavity field. A generalized Jaynes-Cummings model (2008) Int. J. Mod. Phys. B, 22, pp. 599-633
  • Grinberg, H., Nonclassical effects of a two-level spin system interacting with a two-mode cavity field via two-photon transitions (2008) J. Phys. Chem. B, 112, pp. 16140-16157
  • Rempe, G., Walther, H., Klein, N., Observation of quantum collapse and revival in a one-atom maser (1987) Phys. Rev. Lett., 58, pp. 353-356
  • Kitagawa, M., Ueda, M., Squeezed spin states (1993) Phys. Rev. A, 47, pp. 5138-5143
  • Wineland, D.J., Bollinger, J.J., Itano, W.M., Heinzen, D.J., Squeezed atomic states and projection noise in spectroscopy (1994) Phys. Rev. A, 50, pp. 67-88
  • Sørensen, A.S., Duan, L.M., Cirac, J.I., Zoller, P., Many particle entanglement with Bose-Einstein condensates (2001) Nature, 409, pp. 63-66
  • Kochetov, E.A., A generalized N-level single-mode Jaynes-Cummings model (1988) Physica A, 150, pp. 280-292
  • Abdel-Hafez, A.M., Abu-Sitta, A.M.M., Obada, A.S.F., A generalized Jaynes-Cummings model for the N-level atom and N-1 modes (1989) Physica A, 156, pp. 689-712
  • Janowicz, M., Orlowski, A., Two photon Jaynes-Cummings model without rotating-wave approximation (2004) Rep. Math. Phys., 54, pp. 71-79
  • Xie, S.Y., Jia, F., Yang, Y.P., Interactions of a two-level atom and a field with a time-varying frequency without rotating-wave approximation (2002) Opt. Commun., 273, pp. 451-459
  • Song, T.Q., Fan, H.Y., Solving multiphoton Jaynes-Cummings model with field nonlinearity by supersymmetric unitary transformation (2002) Int. J. Theor. Phys., 41, pp. 551-557
  • Grinberg, H., Beyond the rotating wave approximation. An intensity dependent nonlinear coupling model in two level systems (2010) Phys. Lett. A, 374, pp. 1481-1487
  • Sivakumar, S., Nonlinear Jaynes-Cummings model of atom-field interaction (2004) Int. J. Theor. Phys., 43, pp. 2405-2421
  • Góra, P., Jedrzejek, C., Nonlinear Jaynes-Cummings model (1992) Phys. Rev. A, 45, pp. 6816-6828
  • Buzek, V., Jaynes-Cummings with intensity-dependent coupling interacting with squeezed vacuum (1989) Phys. Lett. A, 139, pp. 231-235
  • Zhou, P., Peng, J.S., Dynamics ofthe atom in the multiphoton Jaynes-Cummings model with intensity-dependent coupling (1993) Physica A, 193, pp. 114-122
  • Grinberg, H., Nonclassical effects in a highly nonlinear generalized homogeneous Dicke model (2011) Ann. Phys. (N. Y.), 326, pp. 2845-2867
  • Arecchi, F.T., Courtens, E., Gilmore, R., Thomas, H., Atomic coherent states in quantum optics (1972) Phys. Rev. A, 6, pp. 2211-2237
  • Fang, M.-F., Zhou, P., Swain, S., Entropy squeezing for a two-level atom (2000) J. Mod. Opt., 47, pp. 1043-1053
  • El-Orany, F.A.A., Wahiddin, M.R., Obada, F.A.-S., Single-atom entropy squeezing for two two-level atoms interacting with a single-model radiation field (2008) Opt. Commun., 281, pp. 2854-2863
  • Abdalla, M.S., Obada, A.S.-F., Khalil, E.M., Atom-field interaction underthe influence of two external classical and quantum fields (2012) Opt. Commun., 285, pp. 1283-1288
  • Pezzé, L., Smerzi, A., Entanglement, nonlinear dynamics, and Heisenberg limit (2009) Phys. Rev. Lett., 102, p. 100401
  • Sánchez-Ruiz, J., Improved bounds in the entropic uncertainty and certainty relations for complementary observables (1985) Phys. Lett. A, 201, pp. 125-131
  • Sánchez-Ruiz, J., Optimal entropic uncertainty relation in two-dimensional Hilbert space (1988) Phys. Lett. A, 244, pp. 189-195

Citas:

---------- APA ----------
(2014) . Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models. Optik, 125(19), 5566-5572.
http://dx.doi.org/10.1016/j.ijleo.2014.07.065
---------- CHICAGO ----------
Grinberg, H. "Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models" . Optik 125, no. 19 (2014) : 5566-5572.
http://dx.doi.org/10.1016/j.ijleo.2014.07.065
---------- MLA ----------
Grinberg, H. "Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models" . Optik, vol. 125, no. 19, 2014, pp. 5566-5572.
http://dx.doi.org/10.1016/j.ijleo.2014.07.065
---------- VANCOUVER ----------
Grinberg, H. Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models. Optik. 2014;125(19):5566-5572.
http://dx.doi.org/10.1016/j.ijleo.2014.07.065