Many fields interaction: Beam splitters and waveguide arrays
R. Mar‐Sarao, Francisco Soto, H. M. Moya-Cessa
Abstract We study the interaction of many fields. We obtain an effective Hamiltonian for this system by using a method recently introduced that produces a small rotation to the Hamiltonian that allows to neglect some terms in the rotated Hamiltonian. We show that coherent states remain coherent under the action of a quadratic Hamiltonian and by solving the eigenvalue and eigenvector problem for tridiagonal matrices we also show that a system of n interacting harmonic oscillators, initially in coherent states, remain coherent during the interaction.
Annalen der Physik•Mar 14, 2011•2 citations