A non-Gaussian single-mode squeezed state of the simple harmonic oscillator
C V Sukumar · Journal of Physics A Mathematical and General · 1988
A unitary operator U R , which generates a single-mode squeezed state of the simple harmonic oscillator from the vacuum, is discussed. The states generated by U R are of the form psi 0 ( alpha ) approximately Sigma n alpha n mod n). psi 0 ( alpha ) are not minimum-uncertainty states but have a small value for the uncertainty product even for large values of the mean number of quanta n; for example, var(q) var(p) approximately 0.74 for n=10 6 .