Cooperative Effects and Intrinsic Optical Bistability in Collections of Atoms
Abstract
Langevin equations for intrinsic optical bistability in a system of two-level atoms interacting by dipole-dipole interactions are treated, and the stochastic effects of quantum noise are analyzed. For cases in which the population relaxation is very slow (relative to the homogeneous dephasing rate of the complex dipole) we derive a one-dimensional Ito stochastic differential equation for the inversion of population. For such cases the probability distribution, diffusion process and the first passage times between the two metastable states are calculated. On the other hand, the quantum fluctuations in intrinsic bistability of a pure quantum mechanical system are calculated by using the Einstein relations. We find that a quantum noise which is above the standard quantum limit is inherent in the reaction field. We develop a theoretical analysis for the spectrum of the light scattered by two, two-level atoms driven near resonance by an external electromagnetic field.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1989
- Accession Number
- ADA218989
Entities
People
- Yacob Ben-arych
Organizations
- Technion – Israel Institute of Technology