Jackiw state and higher-order squeezing of the electromagnetic field

Robert Lynch · Physical Review A · 1986

Hong and Mandel have recently suggested a scheme which allows generalization of ``squeezing'' to higher-order (even) moments of the electromagnetic field. The new criterion for squeezing is that the expectation value of the moment be less than that for the coherent state. In this paper it is explicitly shown that both electric-field quadrature components are squeezed to fourth order in a ``Jackiw state,'' thus proving that the coherent state does not minimize the fourth-order uncertainty product. The implications of this result for Hong and Mandel's proposal are briefly considered.

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