Chaos in the Semiclassical-Atom Jaynes-Cummings Model: Failure of the Rotating-Wave Approximation
- 28 March 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 50 (13) , 966-969
- https://doi.org/10.1103/physrevlett.50.966
Abstract
The problem of a collection of two-level atoms interacting with a single-mode classical electromagnetic field is considered. It is found that the model with an initial population inversion exhibits chaotic behavior that becomes stronger for higher atomic number density. The chaos is characterized by Fourier analysis and the maximal Lyapunov exponent. In the rotating-wave approximation, however, there is no prediction of chaos.Keywords
This publication has 8 references indexed in Scilit:
- Transition to stochasticity in a one-dimensional model of a radiant cavityJournal of Statistical Physics, 1982
- Non-linear dynamics of the fermion-boson model: interference between revivals and the transition to irregularityJournal of Physics A: General Physics, 1981
- Propagation narrowing in the transmission of a light pulse through a spectral holePhysical Review A, 1981
- Periodic Spontaneous Collapse and Revival in a Simple Quantum ModelPhysical Review Letters, 1980
- Kolmogorov entropy and numerical experimentsPhysical Review A, 1976
- Analogy between higher instabilities in fluids and lasersPhysics Letters A, 1975
- Exact Solution for an-Molecule—Radiation-Field HamiltonianPhysical Review B, 1968
- Comparison of quantum and semiclassical radiation theories with application to the beam maserProceedings of the IEEE, 1963