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arXiv:quant-ph/0112130 · Journal of Russian Laser Research

Tomography of Multimode Quantum Systems with Quadratic Hamiltonians and Multivariable Hermite Polynomials

Vladimir I. Man’ko, Vladimir A. Sharapov, Evgeny V Shchukin

Published Sep 1, 2001• 2 citations
arXivHTMLPDF
DOI
10.1023/a:1012841404159

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The multimode even and odd coherent states (multimode Schroedinger cat states) are constructed for polymode parametric oscillators of the electromagnetic field. The evolution of the photon distribution function is evaluated explicitly. The distribution function is expressed in terms of the multivariable Hermite polynomials, its means and dispersions are calculated. The conditions for the existence of squeezing are formulated. The correlations among the different modes of Schroedinger cat states are studied.