Navegar

Colección

Datos Estadísticas

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 higher-order nonclassical squeezing and quantum entanglement effects emerging from the second harmonic generation of the associated two-mode and two-photon Hamiltonian are investigated in the dispersive limit. The squeezed states of the field, including the normal and amplitude squared (higher-order) squeezing factors are generated in two ways, i.e., from the bosonic operators via amplitude powered quadrature variables, and through the SU(2) characterization of a passive and lossless device with two input and two output ports, which then allows one to visualize the operations of beam splitters and phase shifters as rotations of angular momentum operators in 3-space. Two criteria for intermodal higher-order quantum entanglement and different coherent states for the two modes in the initial state are used to compute these nonclassical effects. The unitary time evolution of the linear entropy, computed from the partial trace of the density matrix over the secondary mode, is also used as a criterion of quantum entanglement. These approaches show, in fact, that the present model exhibits a considerable amount of this nonclassical effect. The unitary time evolution of the linear entropy shows that the present nonlinear optical model does not preserve the modulus of the Bloch vector. © 2016 Elsevier GmbH. All rights reserved.

Registro:

Documento: Artículo
Título:Nonclassical effects in the second harmonic generation
Autor:Grinberg, H.
Filiación:Department of Physics, Facultad de Ciencias Exactas y Naturales, University of Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
Palabras clave:Coherent state; Information entropy; Quantum entanglement; Second harmonic; Variance squeezing; Harmonic analysis; Harmonic generation; Nonlinear optics; Quantum theory; Angular momentum operators; Coherent state; Information entropy; Nonclassical effects; Nonlinear optical models; Second harmonics; Time evolutions; Variance squeezing; Quantum entanglement
Año:2016
Volumen:127
Número:10
Página de inicio:4447
Página de fin:4453
DOI: http://dx.doi.org/10.1016/j.ijleo.2016.01.152
Título revista:Optik
Título revista abreviado:Optik
ISSN:00304026
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v127_n10_p4447_Grinberg

Referencias:

  • Han, M., Giese, G., Bille, J., Second harmonic generation imaging of collagen fibrils in cornea and sclera (2005) Opt. Express, 13, pp. 5791-5797
  • Brown, D.J., Morishige, N., Neekhra, A., Minckler, D.S., Jester, J.V., Application of second harmonic imaging microscopy to assess structural changes in optic nerve head structure ex vivo (2007) J. Biomed. Opt., 12, p. 024029. , 5 pages
  • Thapliyal, K., Pathak, A., Sen, B., Peřina, J., Higher-order nonclassicalities in a codirectional nonlinear optical coupler: quantum entanglement, squeezing, and antibunching (2014) Phys. Rev. A, 90, p. 013808. , 8 pages and references therein
  • Hillery, M., Quantum cryptography with squeezed states (2000) Phys. Rev. A, 61, p. 022309. , 8 pages
  • Furusawa, A., Sorensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S., Unconditional quantum teleportation (1998) Science, 282, pp. 706-709
  • Ekert, A.K., Quantum cryptography based on Bell's theorem (1991) Phys. Rev. Lett., 67, pp. 661-663
  • Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K., Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels (1993) Phys. Rev. Lett., 70, pp. 1895-1899
  • Grinberg, H., Nonclassical effects in a highly nonlinear generalized homogeneous Dicke model (2011) Ann. Phys., 326, pp. 2845-2867
  • Grinberg, H., Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models (2014) Optik, 125, pp. 5566-5572
  • Pathak, A., Křepelka, J., Peřina, J., Relation between squeezing of vacuum fluctuations, quantum entanglement and sub-shot noise in Raman scattering (2013) Phys. Lett. A, 377, pp. 2692-2701
  • Sen, B., Giri, S.K., Mandal, S., Raymond Ooi, C.H., Pathak, A., Intermodal entanglement in Raman processes (2013) Phys. Rev. A, 87, p. 022325. , 9 pages
  • Verma, A., Pathak, A., Higher order squeezing and higher order subPoissonian photon statistics in intermediate states (2010) Phys. Lett. A, 374, pp. 1009-1020
  • Allevi, A., Olivares, S., Bondani, M., Measuring high-order photon-number correlation in experiments with multimode pulsed quantum states (2012) Phys. Rev. A, 85, p. 063835. , 5 pages
  • Allevi, A., Olivares, S., Bondani, M., High-order photon-number correlations: a resource for characterization and applications of quantum states (2012) Int. J. Quantum Inf., 10, p. 1241003. , 8 pages
  • Avenhaus, M., Laiho, K., Chekhova, M.V., Silberhorn, C., Accessing higher order correlations in quantum optical states by time multiplexing (2010) Phys. Rev. Lett., 104, p. 063602. , 4 pages
  • Hillery, M., Amplitude-squared squeezing of the electromagnetic field (1987) Phys. Rev. A, 36, pp. 3796-3802
  • Hong, C.K., Mandel, L., Higher-order squeezing of a quantum field (1985) Phys. Rev. Lett., 54, pp. 323-325
  • Hong, C.K., Mandel, L., Generation of higher-order squeezing of quantum electromagnetic fields (1985) Phys. Rev. A, 32, pp. 974-982
  • Klimov, A.B., Chumakov, S.M., (2008) A Group-Theoretical Approach to Quantum Optics, pp. 77-78. , Wiley-VCH Verlag GmbH & Co. KGaA Weinheim (304-306)
  • Klimov, A.B., Sánchez-Soto, L.L., Method of small rotations and effective Hamiltonians in nonlinear quantum optics (2000) Phys. Rev. A, 61, p. 063802. , 11 pages
  • Klimov, A.B., Sánchez-Soto, L.L., Navarro, A., Yustas, E.C., Effective Hamiltonians in quantum optics: a systematic approach (2002) J. Mod. Opt., 49, pp. 2211-2226
  • Glauber, R.J., Coherent and incoherent states of the radiation field (1963) Phys. Rev., 131, pp. 2766-2788
  • Yurke, B., McCall, S.L., Klauder, J.R., SU(2) and SU(1, 1) interferometers (1986) Phys. Rev. A, 33, pp. 4033-4054
  • Kitagawa, M., Ueda, M., Squeezed spin states (1993) Phys. Rev. A, 47, pp. 5138-5143
  • Agarwal, G.S., Biswas, A., Inseparability inequalities for higher order moments for bipartite systems (2005) New J. Phys., 7, p. 211. , 7 pages
  • Hillery, M., Zubairy, M.S., Entanglement conditions for two-mode states (2006) Phys. Rev. Lett., 96, p. 050503. , 4 pages
  • Hillery, M., Zubairy, M.S., Entanglement conditions for two-mode states: applications (2006) Phys. Rev. A, 74, p. 032333. , 7 pages
  • Hillery, M., Dung, H.T., Zheng, H., Conditions for entanglement in multipartite systems (2010) Phys. Rev. A, 81, p. 062322. , 6 pages
  • Giri, S.K., Sen, B., Raymond Ooi, C.H., Pathak, A., Single-mode and intermodal higher-order nonclassicalities in two-mode Bose-Einstein condensates (2014) Phys. Rev. A, 89, p. 033628. , 10 pages
  • Sixdeniers, J.-M., Penson, K.A., Solomon, A.I., Mittag-Leffler coherent states (1999) J. Phys. A: Math. Gen., 32, pp. 7543-7563
  • Aharonov, Y., Wang, H.W., Knight, J.M., Lerner, E.C., Generalized distribution operators and a new method in group theory (1971) Lett. Nuovo Cimento, 2, pp. 1317-1322
  • Sixdeniers, J.-M., Penson, K.A., On the completeness of coherent states generated by binomial distribution (2000) J. Phys. A: Math. Gen., 33, pp. 2907-2916

Citas:

---------- APA ----------
(2016) . Nonclassical effects in the second harmonic generation. Optik, 127(10), 4447-4453.
http://dx.doi.org/10.1016/j.ijleo.2016.01.152
---------- CHICAGO ----------
Grinberg, H. "Nonclassical effects in the second harmonic generation" . Optik 127, no. 10 (2016) : 4447-4453.
http://dx.doi.org/10.1016/j.ijleo.2016.01.152
---------- MLA ----------
Grinberg, H. "Nonclassical effects in the second harmonic generation" . Optik, vol. 127, no. 10, 2016, pp. 4447-4453.
http://dx.doi.org/10.1016/j.ijleo.2016.01.152
---------- VANCOUVER ----------
Grinberg, H. Nonclassical effects in the second harmonic generation. Optik. 2016;127(10):4447-4453.
http://dx.doi.org/10.1016/j.ijleo.2016.01.152