Higher-Power Coherent and Squeezed States

Abstract

A closed form expression for the higher-power coherent states (eigenstates of $a^j$) is given. The cases j=3,4 are discussed in detail, including the time-evolution of the probability densities. These are compared to the case j=2, the even- and odd-coherent states. We give the extensions to the "effective" displacement-operator, higher-power squeezed states and to the ladder-operator/minimum-uncertainty, higher-power squeezed states. The properties of all these states are discussed.

23 pages including 9 figures. To be published in Optics Communications

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