Time evolution of two harmonic oscillators with cross-Kerr interactions
arXiv:1904.06318 · doi:10.1063/1.5121397
Abstract
We study the time evolution of two coupled quantum harmonic oscillators interacting through nonlinear optomechanical-like Hamiltonians that include cross-Kerr interactions. We employ techniques developed to decouple the time-evolution operator and obtain the analytical solution for the time evolution of the system. We apply these results to obtain explicit expressions of a few quantities of interest. Our results do not require approximations and therefore allow to study the nature and implications of the full nonlinearity of the system. Potential applications and extensions to optomechanics are also discussed.
10 pages, no figures
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- Bounding the rotating wave approximation for coupled harmonic oscillators
- Factorizing time evolution into elementary steps