Quantum Statistics of Multimode Optical Bistability with Trilinear interaction

✍ Scribed by Dr. K. Germey; Prof. Dr. F.-J. Schütte; Dr. R. Tiebel; Dr. K. Worlitzer

• Book ID: 101484246
• Publisher: John Wiley and Sons
• Year: 1982
• Tongue: English
• Weight: 393 KB
• Volume: 494
• Category: Article
• ISSN: 0003-3804
• DOI: 10.1002/andp.19824940303

✦ Synopsis

Abstract

An externally driven light mode in a ring cavity may show multistable behaviour if linear losses and dispersive nonlinear coupling compete with each other. The paper considers the trilinear (sum frequency) system with two externally driven modes which shows bistability simultaneously in these two modes. It is described in a fully quantum manner. The master equation and the Fokker‐Planck equation for the Glanmber‐Sudarshan quasi‐probalbility are deduced with appropriate consideration of fluctuations. A closed steady solution of the Fokker‐Planck equation is given for one mode only under strong restrictive assumptions.