Journal of Hunan University of Science and Engineering

Research into Collapses and revivals of the light intensity in a cavity

Xia Li

Published Jan 1, 2006• 0 citations

Abstract

We investigate collapses and revivals of the light intensity with collective excitation of two-level atoms in a high-Q cavity. By using Secular approximation, we present the analytical expressions of the light intensity for the cases of the excitonic number state and the coherent state. In our results, it is shown that the effective exciton-exciton interaction results in the appearance of collapse and revival of the light intensity. The revival time is strongly depended on the atomic number, the detuning, the atomic transition frequency and the atom-field coupling constants.

Related papers

Collapses and revivals of exciton emission in a semiconductor microcavity

Guangri Jin, Zhaoxin Liang, Wu-Ming Liu

We investigate novel oscillating emission modulated by collapses and revivals due to nonlinear exciton-exciton interaction in a semiconductor microcavity. The analytical expressions of the light intensity for both the excitonic number state and the coherent state are presented by using a rotating wave approximation. Our results show that the revival time of the coherent state case is twice that of the number state, which may be useful in practical experiments to measure the quantum state of the excitons.

Journal of Optics B Quantum and Semiclassical OpticsMay 6, 20048 citations

Collapses and revivals of exciton emission in a semiconductor microcavity: Detuning and phase-space filling effects

Guangri Jin, Wu‐Ming Liu

We investigate exciton emission of a quantum well embedded in a semiconductor microcavity. The analytical expressions of the light intensity for the cases of the excitonic number state and the coherent state are presented by using secular approximation. Our results show that the effective exciton-exciton interaction leads to the appearance of collapse and revival of the light intensity. The revival time is twice compared the coherent state case with that of the number state. The dissipation of the exciton-polariton lowers the revival amplitude but does not alter the revival time. The influences of the detuning and the phase-space filling are studied. We find that the effect of higher-order exciton-photon interaction can be removed by adjusting the detuning.

arXiv:quant-ph/0402078Physical Review AJul 13, 200424 citations

Nonclassical properties of light in atom-cavity interaction scheme with time-and intensity-dependent coupling / Nor Hazmin Sabri

Nor Hazmin Sabri

The nonclassical properties of light and atomic dynamics are studied. The system considered are two level atom interact with a quantized field in a high quality cavity, which is recognized as the Jaynes-Cumming Model. The time- and intensity-dependent atom-field coupling are applied to the system, with different initial field states and initial atomic states. We also extend the system for three level atom in a cavity, and include the dissipative mechanism in the system. We consider the laser driven three level atom in a cavity coupled to a reservoir. Interesting effects of the transient coupling are analyzed through the collapse-revival pattern in population inversion, while the nonclassicality of cavity field is studied through the features in the evolution ofWigner function. The inversion of initial superposed atomic state seems to be independent of initial classical fields but can be stimulated by the Schrodinger cat field. In two level system, the oscillatory coupling coefficient can prolong the occurrence of collapse, in analogy to the Zeno effect.The intensity atom-field coupling duration is an important parameter for controlling atomic inversion and producing frozen nonclassical light in the cavity after the atom-field coupling ceases. The theory developed will provide useful physical insights for future experimental work and enhance significant knowledge on the nonclassicality of light in matter-wave interaction. The research results will particularly benefit quantum information technology.

Jan 1, 20130 citations

Interaction of a System of Initially Unexcited Two-level Atoms with a Weak Cavity Field

M. Kozierowski, S. M. Chumakov, A. A. Mamedov

Using a perturbation method, constructed in terms of SU(2) group representations, the interaction of N initially unexcited two-level atoms and a weak single-mode cavity field is studied. The field is assumed to be initially either in a Fock state with a number of photons equal to n or in a coherent state. In the case of the photon-number state with n  3, the pure phenomenon of collective collapses and revivals manifests itself. For the initially coherent field the phenomenon of collapses and revivals arising from the photon number distribution mechanism is additionally modulated by this collective mechanism. The problem of the interaction of excited atoms with an initially coherent field has already been solved numerically by Barnett and Knight. For n=1 2 and 3 the approximate solution is compared with the exact solutions also given in this paper and the limit of applicability of our approach is established.

Journal of Modern OpticsMar 1, 199314 citations

Collective effects in the collapse-revival phenomenon and squeezing in the Dicke model

Guy Z. Ramon, Constantin Brif, A. Mann

Resonant interaction of a collection of two-level atoms with a single-mode coherent cavity field is considered in the framework of the Dicke model. We focus on the role of collective atomic effects in the phenomenon of collapses and revivals of the Rabi oscillations. It is shown that the behavior of the system strongly depends on the initial atomic state. In the case of the initial half-excited Dicke state we account for a number of interesting phenomena. The correlations between the atoms result in a suppression of the revival amplitude, and the revival time is halved, compared to the uncorrelated fully excited and ground states. The phenomenon of squeezing of the radiation field in the atom-field interaction is also discussed. For the initial fully excited and ground atomic states, the field is squeezed on the short-time scale, and squeezing can be enhanced by increasing the number of atoms. Some empirical formulas are found which describe the behavior of the system in excellent agreement with numerical results. For the half-excited Dicke state, the field can be strongly squeezed on the long-time scale in the case of two atoms. This kind of squeezing is enhanced by increasing the intensity of the initial coherent field and is of the same nature as revival-time squeezing in the Jaynes-Cummings model. The appearance of this long-time squeezing can be explained using the factorization approximation for semiclassical atomic states.

arXiv:quant-ph/9809051Physical Review ASep 1, 199826 citations

Photon Emission Dynamics of a Two-Level Atom in a Cavity

Chang Jae Lee

The collapse and revival of quantum states appear in diverse areas of physics. In quantum optics the occurrence of such a phenomena in the evolution of an atomic state, interacting with a light field initially in a coherent state, was predicted by using the Jaynes-Cummings model (JCM), and subsequently demonstrated experimentally. In this paper we revisit the JCM with the Monte-Carlo wave function approach and investigate the time evolution of the photon emission rate of the atom in a cavity. Analytical and numerical quantum trajectory calculations show that the cavity and the initial field statistics strongly influence the photon emission dynamics. A coherent field indeed gives rise to a collapse and revival behavior that mirrors atomic state evolution. However, there are differences between the two. The emission rate for a field in a Fock number state exhibits a sinusoidal oscillation, and there exists a quiescent period for a thermal field. These properties are quite different from those in free space. It is also shown that the fluctuation in photon emission is much less than that of the atomic population.

arXiv:1512.08607Dec 29, 20150 citations