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arXiv:2104.12266 · Physics Letters A

Time-dependent coherent squeezed states in a nonunitary approach

A. S. Pereira, A. S. Lemos

Published May 17, 2021• 6 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2021.127428

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We obtained the uncertainty relation in squeezed states for a time-dependent oscillator. The uncertainty relation in coherent states is same as that of the number states with n=0. However, the uncertainty relation in squeezed states does not satisfy this property and depends on squeezing parameter c. For instance, the uncertainty relation is ℏ/2 which is the minimum value as far as quantum mechanics permits for c=1, same as that in coherent state for c=±∞, and infinity for c=-1. If the time-dependency of the Hamiltonian for the system vanishes, the uncertainty relation in squeezed states will no longer depend on c and becomes the same as that in number state with n=0, like the uncertainty relation in coherent states.