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arXiv · quant-ph/9908048

Higher-Power Coherent and Squeezed States

Michael Martin Nieto·D. Rodney Truax
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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.

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Michael Martin Nieto, D. Rodney Truax. 1999-08-15. Higher-Power Coherent and Squeezed States. https://doi.org/10.1016/s0030-4018(99)00483-6

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