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Coherent states for time dependent harmonic oscillator: the step function

We study the time evolution for the quantum harmonic oscillator subjected to a sudden change of frequency. It is based on an approximate analytic solution to the time dependent Ermakov equation for a step function. This approach allows for a continuous treatment that differs from former studies that involve the matching of two time independent solutions at the time when the step occurs.

preprint2003arXivOpen access

H. Moya-Cessa M. Fernandez-Guasti

quant-ph

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H. Moya-Cessa M. Fernandez-Guasti

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