Squeezed states, photon-number distributions, and U(1) invariance
- 1 February 1993
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America B
- Vol. 10 (2) , 253-264
- https://doi.org/10.1364/josab.10.000253
Abstract
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.Keywords
This publication has 24 references indexed in Scilit:
- Squeezed state of lightQuantum Optics: Journal of the European Optical Society Part B, 1989
- Squeezed LightJournal of Modern Optics, 1987
- Generation of Squeezed States by Parametric Down ConversionPhysical Review Letters, 1986
- Broad-Band Parametric Deamplification of Quantum Noise in an Optical FiberPhysical Review Letters, 1986
- Observation of Squeezed States Generated by Four-Wave Mixing in an Optical CavityPhysical Review Letters, 1985
- Squeezed states of lightNature, 1983
- Quantum-mechanical noise in an interferometerPhysical Review D, 1981
- Quantum limits on resonant-mass gravitational-radiation detectorsPhysical Review D, 1979
- Two-photon coherent states of the radiation fieldPhysical Review A, 1976
- Equivalence Classes of Minimum Uncertainty PacketsPhysical Review D, 1970