Squeezed vacuum states in optically bistable twophoton media
Abstract
The time evolution of squeezed vacuum states, taken to be SU(1,1) coherent states, interacting with a twophoton medium is examined using numerical methods. The nonphotonconserving medium is modeled by a Hamiltonian which consists of the freefield term, a nonphotonconserving term in the form of a degenerate parametric amplifier, and an anharmonic term which gives rise to optical bistability. This system has previously been shown to produce enhanced squeezing when interacting with ordinary coherent light. In the present work we find that the squeezing property is generally revoked by the anharmonic term and increased by the nonconserving term. The combined effects are not additive, however, and a quantum interference effect is observed in the calculations.
 Publication:

Physical Review A
 Pub Date:
 June 1988
 DOI:
 10.1103/PhysRevA.37.4265
 Bibcode:
 1988PhRvA..37.4265G
 Keywords:

 Coherent Light;
 Optical Bistability;
 Quantum Optics;
 Squeezed States (Quantum Theory);
 Vacuum Systems;
 Hamiltonian Functions;
 Harmonic Oscillators;
 Parametric Amplifiers;
 Variance (Statistics);
 Optics;
 03.65.Fd;
 42.50.Dv;
 Algebraic methods;
 Nonclassical states of the electromagnetic field including entangled photon states;
 quantum state engineering and measurements