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Quantum Statistics of Multimode Optical Bistability with Trilinear interaction
Author(s) -
Germey K.,
Schütte F.J.,
Tiebel R.,
Worlitzer K.
Publication year - 1982
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19824940303
Subject(s) - physics , bistability , master equation , multi mode optical fiber , nonlinear system , quantum , fokker–planck equation , optical bistability , mode (computer interface) , coupling (piping) , statistical physics , quantum master equation , quantum mechanics , quantum electrodynamics , nonlinear optics , optics , differential equation , optical fiber , mechanical engineering , engineering , computer science , operating system
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.