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Squeezed States and Nondiagonal P-Representation

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Abstract

The R-representation and the nondiagonalP-representation for density operator withsqueezed-state basis are defined. The special cases forchaotic and laser fields are calculated. TheFokker–Planck equation for the damped harmonic oscillator withsqueezed bath is considered and the steady-statesolution is given. A special case of the steady-statesolution for only a thermal bath is shown. ThePegg–Barnett phase distribution is compared with the radialintegration on the generalized P-function.

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REFERENCES

  • Abd Al-Kader, G. M. (1994). Journal of the Egyptian Mathematical Society, 2, 89-101.

    Google Scholar 

  • Adam, P., and Janszky, J. (1990). Physical Review Letters, 149, 67.

    Google Scholar 

  • Ban, M. (1991). Physics Letters A, 155, 397.

    Google Scholar 

  • Ban, M. (1993). Physics Letters A, 176, 47.

    Google Scholar 

  • Barnett, S. M., and Knight, P. L. (1987). Journal of Modern Optics, 34, 841.

    Google Scholar 

  • Barnett, S. M., and Pegg, D. T. (1989). Journal of Modern Optics, 36, 7.

    Google Scholar 

  • Barnett, S. M., and Pegg, D. T. (1990). Physical Review A, 41, 3427.

    Google Scholar 

  • Chizov, A. V., Gantsog, Ts., and Murzakhmetov, B. K. (1993). Quantum Optics, 5, 85.

    Google Scholar 

  • Craig, J. D., and McNeil, K. J. (1989). Physical Review A, 39, 6367.

    Google Scholar 

  • Dörfle, M., and Schenzle, A. (1986). Zeitschrift für Physik B, 65, 113.

    Google Scholar 

  • Drummond, P. D., and Gardiner, C. W. (1980). Journal of Physics A, 13, 2353.

    Google Scholar 

  • Drummond, P. D., Gardiner, C. W., and Walls, D. F. (1981). Physical Review A, 24, 914.

    Google Scholar 

  • Garraway, B. M., and Knight, P. L. (1992). Physical Review A, 46, R5346.

    Google Scholar 

  • Garraway, B. M., and Knight, P. L. (1993). Physica Scripta, T48, 66.

    Google Scholar 

  • Gilchrist, A., Gardiner, C. W., and Drummond, P. D. (1997). Physical Review A, 55, 3014.

    Google Scholar 

  • Glauber, R. J. (1963). Physical Review, 131, 2766.

    Google Scholar 

  • Gradshteyn, S., and Ryzhik, I. M. (1980). Tables of Integrals, Series, and Products, Academic Press, New York.

    Google Scholar 

  • Hollenhorst, J. N. (1979). Physical Review D, 19, 1669.

    Google Scholar 

  • Kim, M. S., de Oliveira, F. A., and Knight, P. L. (1989). Physical Review A, 40, 2494.

    Google Scholar 

  • Knight, P. L., and Allen, L. (1983). Concepts of Quantum Optics, Pergamon Press, Oxford.

    Google Scholar 

  • Kral, P. (1990). Journal of Modern Optics, 37, 889.

    Google Scholar 

  • Leonhardt, V., and Jex, I. (1994). Physical Review A, 49, R1555.

    Google Scholar 

  • Louisell, W. H. (1973). Quantum Statistical Properties of Radiation, Wiley, New York.

    Google Scholar 

  • Lu, N., Zhu, S.-Y., and Agarwal, G. S. (1989). Physical Review A, 40, 258.

    Google Scholar 

  • Luks, A., and Perinova, V. (1994). Quantum Optics, 6, 125.

    Google Scholar 

  • McNeil, K. L., and Craig, I. J. D. (1990). Physical Review A, 41, 4009.

    Google Scholar 

  • Milburn, G. J., and Walls, D. F. (1983). American Journal of Physics, 51, 1134.

    Google Scholar 

  • Mehta, C. L., and Sudarshan, E. C. G. (1965). Physical Review B, 138, 279.

    Google Scholar 

  • Perina, J. (1985). Coherence of Light, Reidel, Dordrecht, Holland.

    Google Scholar 

  • Sargent, M., III, Scully, M. O., and Lamb, W. E. (1974). Laser Physics, Addison-Wesley, Reading, Massachusetts.

    Google Scholar 

  • Sarkar, S., Sarchell, J. S., and Carmichael, H. J. (1986). Journal of Physics, A, 19, 2765.

    Google Scholar 

  • Schumaker, B. L. (1986). Physics Reports, 135, 317-408.

    Google Scholar 

  • Smith, A. M., and Gardiner C. W. (1989). Physical Review A, 39, 3511.

    Google Scholar 

  • Stoler, D. (1970a). Physical Review D, 1, 3217.

    Google Scholar 

  • Stoler, D. (1970b). Physical Review D, 4, 1925.

    Google Scholar 

  • Sudarshan, E. C. G. (1963). Physical Review Letters, 10, 277.

    Google Scholar 

  • Susskind, L., and Glogower, J. (1964). Physics, 1, 49.

    Google Scholar 

  • Tanas, R., Miranowics, A., and Gonstog, Ts. (1993). Physica Scripta, T48, 53-60.

    Google Scholar 

  • Vaccaro, T. A., and Pegg, D. T. (1989). Optics Communications, 70, 529.

    Google Scholar 

  • Walls, D. F. (1983). Nature, 306, 141.

    Google Scholar 

  • Walls, D. F., and Milburn, G. J. (1994). Quantum Optics, Springer-Verlag, Berlin.

    Google Scholar 

  • Wigner, E. (1932). Physical Review, 40, 749.

    Google Scholar 

  • Wü nsche, A. (1996). Quantum and Semiclassical Optics, 8, 343.

    Google Scholar 

  • Yuen, H. P. (1976). Physical Review A, 13, 2226.

    Google Scholar 

  • Zhu, S.-Y., and Lu, N. (1989). Physics Letters A, 13, 191.

    Google Scholar 

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Obada, AS.F., Al-Kader, G.M.A. Squeezed States and Nondiagonal P-Representation. International Journal of Theoretical Physics 37, 2207–2232 (1998). https://doi.org/10.1023/A:1026654322337

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