Semiclassical dynamics of the Jaynes-Cummings model
Fakultät für Physik, Albert-Ludwigs-Universität,
Hermann-Herder-Strasse 3, 79104 Freiburg, Germany
Revised: 27 November 2000
Published online: 15 April 2001
The semiclassical approximation of coherent state path integrals is employed to study the dynamics of the Jaynes-Cummings model. Decomposing the Hilbert space into subspaces of given excitation quanta above the ground state, the semiclassical propagator is shown to describe the exact quantum dynamics of the model. We also present a semiclassical approximation that does not exploit the special properties of the Jaynes-Cummings Hamiltonian and can be extended to more general situations. In this approach the contribution of the dominant semiclassical paths and the relevant fluctuations about them are evaluated. This theory leads to an accurate description of spontaneous emission going beyond the usual classical field approximation.
PACS: 03.65.Sq – Semiclassical theories and applications / 42.50.-p – Quantum optics / 32.80.-t – Photon interactions with atoms
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001