Approximate yet Confident Solution for a Parametric Oscillator in a Kerr Medium

Quantum Fest 2015

Román-Ancheyta, R.^1 ; Berrondo, M.^2 ; Récamier, J.^1

Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Cuernavaca, Morelos

C.P. 62210, Mexico^1

Dept. Physics and Astronomy, Brigham Young University, Provo

UT

84602, United States^2

关键词: Coherent state;    Kerr-like medium;    Self-consistent method;    Squeezing operators;    Temporal dependence;    Temporal evolution;    Time evolution operator;    Vacuum state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/698/1/012008/pdf
DOI  :  10.1088/1742-6596/698/1/012008

来源: IOP

【 摘 要 】

We study the temporal evolution of a coherent state under the action of a parametric oscillator immersed in a nonlinear Kerr-like medium. Applying a self consistent method we obtain an approximate time evolution operator. This operator behaves like a squeezing operator due to the temporal dependence of the oscillator's frequency. We analyze Mandel's parameter, the presence of squeezing in the field quadratures and the generation of photons from the vacuum state.