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physica status solidi (b)

Quantum‐Statistical Investigation on the Nonlinear Optical Oscillation in Amorphous Semiconductor GeSe2 Films

Lun‐Biao Xu, Shoufu Cai, Guoxin Xie

Published Dec 1, 1988• 3 citations
Publisher

Abstract

Abstract With the quantum‐statistical three‐level cascade Jaynes‐Cummings model, the relationship between the nonlinear optical oscillation phenomena in amorphous vacuum evaporated GeSe2 films and the dynamical correlation of the high‐dense defects are investigated. The collective behaviour of the system shows that the interaction between the incident photon fields and the three defect levels really causes the transmittance oscillating, which was reported recently by Hajto. The calculated results concide with the experiments very well. Also some experimental phenomena are analysed to show the origin in physical mechanism and some interesting possibilities for practices are discussed.

DOI
10.1002/pssb.2221500270

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Abstract With the quantum‐statistical three‐level cascade Jaynes‐Cummings model, the relationship between the nonlinear optical oscillation phenomena in amorphous vacuum evaporated GeSe2 films and the dynamical correlation of the high‐dense defects are investigated. The collective behaviour of the system shows that the interaction between the incident photon fields and the three defect levels really causes the transmittance oscillating, which was reported recently by Hajto. The calculated results concide with the experiments very well. Also some experimental phenomena are analysed to show the origin in physical mechanism and some interesting possibilities for practices are discussed.
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The coherent state representations of the group G equals W1 (direct product) G0 [where G0 equals SU(2) or SU(1,1)] are used in computer simulations of the dynamic of single two- level atom [G0 equals SU(2)] interacting with a quantized photon cavity mode [Jaynes-Cummings Model (JCM) without the rotating wave approximation] and, in general, nonlinear in photon variables. The second case [hyperbolic Jaynes - Cummings Model (HJCM), G0 equals SU(1,1)] corresponds to the quantum dynamics of quadratic nonlinear coupled oscillators (the parametric resonance on double field frequency and a three-wave parametric processes of nonlinear optics). Quasiclassical dynamical equations for parameters of approximately factorizable coherent states for these models are derived and regimes of motion for 'atom' and field variables are analyzed.
Abstract This chapter presents some of the models describing the time-dependent interaction between a simple atom and a field, which may be described either classically or fully quantum mechanically. A number of equivalent interaction pictures and the important rotating-wave approximation are introduced. The two-state dynamics of an atom coupled to a classical field is solved, starting with perturbation theory. Non-perturbative behaviour is analysed, leading to Rabi oscillations of the atomic probabilities. The Jaynes–Cummings model of the dynamics of a single two-state atom coupled to a single quantized mode of the electromagnetic field is solved leading to collapses and revivals of the excited state probability. An exactly soluble model of the coupling of a single state to a Bixon–Jortner quasi-continuum of discrete levels is analysed. Finally, the coherent interactions between two field modes, of the type common in nonlinear optics, are discussed.