We study the photon-number distribution in squeezed states of a single-mode radiation field. A U(1)-invariant squeezing criterion is compared and contrasted with a more restrictive criterion, with the help of suggestive geometric representations. The U(1) invariance of the photon-number distribution in a squeezed coherent state, with arbitrary complex squeeze and displacement parameters, is explicitly demonstrated. The behavior of the photon-number distribution for a representative value of the displacement and various values of the squeeze parameter is numerically investigated. A new kind of giant oscillation riding as an envelope over more rapid oscillations in this distribution is demonstrated.
© 1993 Optical Society of America
Original Manuscript: January 16, 1992
Revised Manuscript: May 11, 1992
Published: February 1, 1993
B. Dutta, N. Mukunda, R. Simon, and Ajay Subramaniam, "Squeezed states, photon-number distributions, and U(1) invariance," J. Opt. Soc. Am. B 10, 253-264 (1993)