Dynamics of a Generalized Two-mode Husimi Function in a Kerr Medium

We describe the dynamics of a generalizedHusimi function for a two-mode harmonic oscillator repre-sentation. The time evolution equation is derived througha normally ordered technique which is shown to be conve-nient for describing dynamical systems withSU(2)sym-metry. We obtain an exact solution in...

Descripción completa

Detalles Bibliográficos
Autores: O. Aguilar–Loreto, B. E. Ordaz–Mendoza
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:México
Institución:Universidad de Guadalajara
Repositorio:Redalyc-UDG
OAI Identifier:oai:redalyc.org:46443233002
Acceso en línea:https://www.redalyc.org/articulo.oa?id=46443233002
Access Level:acceso abierto
Palabra clave:Física, Astronomía y Matemáticas
Nonlinear
Kerr medium
Phase space
SU(2) symmetry
Husimi function
Descripción
Sumario:We describe the dynamics of a generalizedHusimi function for a two-mode harmonic oscillator repre-sentation. The time evolution equation is derived througha normally ordered technique which is shown to be conve-nient for describing dynamical systems withSU(2)sym-metry. We obtain an exact solution in phase space for aquantum nonlinear system described by a Kerr medium ini-tially in a two-mode coherent state. We study in detail theevolution of this system and explain some particular effectsexhibited during the process.