Quantum-tunneling rates and stationary solutions in dispersive optical bistability

Journal Article · Thu Sep 01 04:00:00 EDT 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.38.2409· OSTI ID:7126964

Vogel, K; Risken, H

For the model of Drummond and Walls describing dispersive optical bistability, stationary solutions as well as quantum-tunneling rates are calculated by solving a pseudo-Fokker-Planck equation (PFPE), i.e., a Fokker-Planck-like equation with a non-positive-definite diffusion matrix, in terms of matrix continued fractions. Due to the quantum nature of the model, an interesting oscillating variation of the decay rates of the PFPE as a function of the scaling factor for the photon number is found for small cavity damping.

• Research Organization: Abteilung fuer Theoretische Physik, Universitaet Ulm, D-7900 Ulm, Federal Republic of Germany
• OSTI ID: 7126964
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 38:5; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUCTUATIONS
FOKKER-PLANCK EQUATION
INHIBITION
KINETICS
OPTICAL DISPERSION
OPTICAL SYSTEMS
PARTIAL DIFFERENTIAL EQUATIONS
STABILITY
TUNNEL EFFECT
VARIATIONS