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Journal ArticleDOI

Quantum revivals in the Jaynes-Cummings model

P Filipowicz
- 21 Dec 1986 - 
- Vol. 19, Iss: 18, pp 3785-3795
TLDR
In this article, the authors obtained an exact integral representation of the sum describing the evolution of the two-level atom in the Jaynes-Cummings model when the field is initially prepared in a coherent state or a state generated by classical sources at non-zero temperature.
Abstract
The author obtains an exact integral representation of the sum describing the evolution of the inversion of the two-level atom in the Jaynes-Cummings model when the field is initially prepared in a coherent state or a state generated by classical sources at non-zero temperature. The author uses the saddle point method to estimate the integrals.

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Citations
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Journal ArticleDOI

Quantum wave packet revivals

TL;DR: The numerical prediction, theoretical analysis, and experimental verification of the phenomenon of wave packet revivals in quantum systems has flourished over the last decade and a half as mentioned in this paper, and the theoretical machinery of quantum wave packet construction leading to the existence of revivals and fractional revivals, in systems with one (or more) quantum number(s), as well as how information on the classical period and revival time is encoded in the energy eigenvalue spectrum.
Journal ArticleDOI

Dynamics of a two-level atom in a Kerr-like medium

TL;DR: In this paper, a generalization of the Jaynes-cummings model was considered for filling a cavity with a Kerr-like medium, and the dynamics of the system were analyzed.
Journal ArticleDOI

Ringing revivals in the interaction of a two-level atom with squeezed light

TL;DR: In this article, a two-level atom with the radiation field is studied when the radiation is initially in a strongly squeezed coherent state and the mean, variance, and entropy for the photon-number distribution are calculated and found to show behavior similar to that of the atomic inversion.
Journal ArticleDOI

Calculation of quasiprobabilities for the damped Jaynes-Cummings model

TL;DR: In this article, a method for calculating the s-parametrized quasiprobability distributions W (α, s ) of Cahill and Glauber for the damped Jaynes-Cummings model is outlined.
Journal ArticleDOI

A new look at the Jaynes-Cummings model for large fields: Bloch sphere evolution and detuning effects

TL;DR: In this article, the authors investigated the asymptotic solution for the Jaynes-Cummings model for large, coherent-like initial fields and showed that it provides qualitative insights even for rather low initial fields.
References
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Journal ArticleDOI

Periodic spontaneous collapse and revival in a simple quantum model

TL;DR: In this paper, the existence of periodic spontaneous collapse and revival of coherence in the dynamics of a simple quantum model were reported. And the first accurate expressions for the intermediate-time and long-time dynamical behavior of the model were given.
Journal ArticleDOI

One-atom maser

TL;DR: With one Rydberg atom the linewidth of the maser transition at about 21 GHz was power broadened and at higher densities asymmetry of the transition was observed, which is ascribed to an ac Stark effect.
Journal ArticleDOI

Observation of cavity-enhanced single-atom spontaneous emission

TL;DR: It has been observed that the spontaneous-emission lifetime of Rydberg atoms is shortened by a large ratio when these atoms are crossing a high-Q$ superconducting cavity tuned to resonance with a millimeter-wave transition between adjacent Ryd Berg states as mentioned in this paper.
Journal ArticleDOI

Dynamical theory of an atom with two or three levels interacting with quantized cavity fields

TL;DR: In this paper, the authors review the dynamical interaction of an atom with radiation in the framework of models of the Jaynes-Cummings type where the atom is restricted to a few energy levels and the radiation consists of quantized near-resonant loss-free modes.
Journal ArticleDOI

Coherence versus incoherence: Collapse and revival in a simple quantum model

TL;DR: In this paper, a model consisting of a single two-level atom or spin interacting with a single mode of the quantized radiation field in the dipole approximation, the mode being initially in an arbitrary coherent state of excitation, was described.
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