Exact dynamics and squeezing in two harmonic modes coupled through angular momentum
Abstract
We investigate the exact dynamics of a system of two independent harmonic oscillators coupled through their angular momentum. The exact analytic solution of the equations of motion for the field operators is derived, and the conditions for dynamical stability are obtained. As for the application, we examine the emergence of squeezing and mode entanglement for an arbitrary separable coherent initial state. It is shown that close to instability, the system develops considerable entanglement, which is accompanied with simultaneous squeezing in the coordinate of one oscillator and the momentum of the other oscillator. In contrast, for weak coupling away from instability, the generated entanglement is small, with weak alternating squeezing in the coordinate and momentum of each oscillator. Approximate expressions describing these regimes are also provided.
 Publication:

Journal of Physics B Atomic Molecular Physics
 Pub Date:
 August 2015
 DOI:
 10.1088/09534075/48/16/165501
 arXiv:
 arXiv:1505.03846
 Bibcode:
 2015JPhB...48p5501C
 Keywords:

 Quantum Physics
 EPrint:
 14 pages, 2 figures, to be published in Journal of Physics B