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Pseudo-diffusion equation and information entropy of squeezed-coherent states

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  • Mizrahi, Salomon S.
  • Marchiolli, Marcelo A.

Abstract

As the squeezed-coherent states are labeled by 3-tuple, the momentum, the coordinate and the squeeze parameter, a phase space probability distribution function associated with a generic wavefunction can be introduced. We verify that this probability function is the solution of a partial differential equation, the pseudo-diffusion equation, hence permitting to extend the concept of information entropy, as introduced by Wehrl for the coherent states, to the squeezed-coherent states. It is shown that the entropy functionals can be used as a measure of quantum correlations between the phase space variables, for a given wavefunction; we also present several properties and discuss the use of the entropic inequality as a concept that complements the Heisenberg uncertainty relationship.

Suggested Citation

  • Mizrahi, Salomon S. & Marchiolli, Marcelo A., 1993. "Pseudo-diffusion equation and information entropy of squeezed-coherent states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(1), pages 96-115.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:1:p:96-115
    DOI: 10.1016/0378-4371(93)90100-I
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    Cited by:

    1. Portesi, M & Plastino, A, 1996. "Generalized entropy as a measure of quantum uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 225(3), pages 412-430.
    2. Marchiolli, Marcelo A., 2003. "Nonclassical statistical properties of finite-coherent states in the framework of the Jaynes–Cummings model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 331-354.
    3. Dodonov, V.V. & Mizrahi, S.S., 1995. "Generalized nonlinear Doebner-Goldin Schrödinger equation and the relaxation of quantum systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(4), pages 619-628.

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