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Physical Review A

Comment on ‘‘Squeezing and antisqueezing for a harmonic oscillator having a sudden change of mass’’

Петер Адам, József Janszky

Published Oct 1, 1994• 3 citations
Publisher

Abstract

It is shown that, contrary to the conclusions of a paper by Baseia, De Brito, and Bagnato [Phys. Rev. A 45, 5308 (1992)], a harmonic oscillator can be squeezed by consecutive sudden changes of its mass to and back.
DOI
10.1103/physreva.50.3548

Related papers

Squeezing and antisqueezing for a harmonic oscillator having a sudden change of mass

B. Baseia, A. L. De Brito, Vanderlei Salvador Bagnato

Following a recent paper by De Brito and Baseia [Phys. Rev. A 40, 4097 (1989)], the generation of squeezing is examined for a harmonic oscillator when a sudden change of mass takes place. The correspondence of such oscillators with the radiation field and some related results, such as modulation of squeezing, are also considered.

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The relevance of the conclusions of a paper by Fan and Zaidi [Phys. Rev. A 37, 2985 (1988)] concerning the possibility of generating squeezed states of a harmonic oscillator by sudden change of its frequency is analyzed.

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A note on squeezing due to sudden change of mass

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A Hilbert space of an harmonic oscillator is spanned into an over complete set of coherent states of another oscillator having different mass to show that a sudden change of mass of a quantum oscillator [e.g., due to mass emission in radiative processes] leads to squeezing. The correspondence of such oscillators with the radiation field is also considered. 12 refs.

•Feb 1, 1993•0 citations

Comment on “Harmonic oscillator with time-dependent mass and frequency and a perturbative potential”

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The correct wave function for the problem of a harmonic oscillator of time-dependent mass and frequency is obtained following the same approach used in the paper of Dantas et al. [Phys. Rev. A 45, 1320 (1992)].

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Reply to ‘‘Comment on ‘Squeezing and frequency jump of a harmonic oscillator’ ’’

Haider R. Zaidi, Fan Hong-Yi

We disagree with the conclusions of the preceding Comment [Janszky and Yushin, Phys. Rev. A 39, 5437 (1989)]. It is shown in this Reply that a squeeze operator can also serve as the time evolution operator for a Franck-Condon transition, and that our previous interpretation is correct. It is also pointed out that the model Hamiltonian used in the preceding Comment is not appropriate for a Franck-Condon transition.

Physical Review A•May 1, 1989•10 citations

Squeezing caused by a change of mass in a harmonic oscillator

Fan Hong-Yi, Haider R. Zaidi

It is shown that a mass change in a harmonic oscillator generates a squeezing transformation. Time-independent as well as time-dependent transformations are investigated. An expression for the interaction Hamiltonian responsible for squeezing and the equations of motion for the time evolution are derived.

Canadian Journal of Physics•Feb 1, 1989•9 citations