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Acta Sinica Quantum Optica

Spontaneous Emission Spectra of an Atom in a Dissipative Cavity

Wei Su

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

The emission spectra of a two-level atom interacting with a single mode vacuum initial field in a dissipative cavity are investigated.A general expression for the emission spectrum is derived.The influences of the damping constant κ and the interaction time T on the atomic emission spectra are discussed.It is found that the relative height of pecks start to decrease with increasing κ.Only the interaction time being appropriate,the quantum characteristics of the spectrum can be observed.

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The emission spectra of a two-level atom interacting with a single mode vacuum initial field in a dissipative cavity are investigated.A general expression for the emission spectrum is derived.The influences of the damping constant κ and the interaction time T on the atomic emission spectra are discussed.It is found that the relative height of pecks start to decrease with increasing κ.Only the interaction time being appropriate,the quantum characteristics of the spectrum can be observed.
The emission spectrum of a two-level atom interacting dispersively with a single mode radiation field in the dissipative cavity is investigated. A general expression for the emission spectrum is derived. The numerical results for the initial field in coherent state are calculated. It is found that the spectrum structure is influenced significantly by the cavity damping constant κ, and the spectrum structure is dependent on the interaction time T when the cavity dissipation is present. Only one peak located at ω a appears in the atomic spectra for larger T.
The emission spectrum of a pair of two-level atoms interacting with a single mode of radiation field in an ideal cavity is investigated, where the interaction of each atom with the field may be different. A general expression for the emission spectrum is presented and the spectrum is studied numerically when the radiation field is initially in the vacuum state, pure number state and squeezed-vacuum state, respectively. The effects of the ratio of two coupling constants (R=g 2 /g 1 ) on the emission spectrum are discussed. In contrast with the spectrum of a one-atom system, the spectrum of a two-atom system is much more complicated. Generally, the emission spectrum shows a 12-peak structure for the vacuum state and 16-peak structure for the pure number state. For the squeezed-vacuum state, it is found that the Rabi splitting is most apparent when R=1.
A brief review is given of theoretical and experimental investigations of the spontaneous emission from an atom in a resonator cavity. A theory of spontaneous emission from a two-level atom in free space and in a cavity is presented in a methodical unified manner. In a single-mode resonator the structure of the spectrum of the emitted photons is a singlet or a doublet, depending on the ratio of the cavity damping to the constant of the interaction of an atom with a field. The emission spectrum of an atom in a cavity with two modes with similar frequencies may have a triplet structure.
The time-dependent two-photon emission spectra of a two-level atom interacting with a single-mode radiation field in an ideal cavity have been studied. The expressions of the system operators as a function of time have been derived based on the two-photon Jaynes-Cummings model and Heisenberg equation. As a result, the theoretical curves of the time-dependent two-photon emission spectra have been given. The features of two-photon emission spectra depend not only on the photon statistical distribution of the initial field, such as the thermal field, the squeezed vacuum field, and the coherent field, but also on the passband width of the filter detector \ensuremath{\Gamma}. The two-photon emission spectra exhibit multi- peaked structures when \ensuremath{\Gamma}(two-photon coupling constant).
We have investigated the interaction of a single atom with a single mode of the radiation field in an ideal cavity when the field is initially in a squeezed-vacuum state. In particular, we present results for the spectrum of the emitted light and for the time evolution of the squeezing inside the cavity. Our results contrast sharply with previous studies of single two-level atom interaction with a continuum of squeezed-vacuum modes. In particular, the results are shown to be insensitive to the initial phase of the atomic dipole relative to the squeezed field, and the squeezing is destroyed by the coherent interaction, in a time essentially independent of the initial degree of squeezing. Most features of the spectrum are very similar to those predicted for an initial thermal state, although the two-peaked structure associated with vacuum-field Rabi splitting is more apparent for a squeezed state with a small average number of photons than for a thermal state with the same number of photons.
We study the atomic emission spectrum and cavity field spectrum of dipole–dipole coupled two atoms interacting with a single-mode radiation field in a non-ideal cavity. We solved the quantum master equation by a method that combined analytical analysis and numerical solution. The explicit expression of spectral peak position and numerical results of spectral structure are given for the atoms in entangled state and the field in vacuum initially. The results shown that the decay rate of cavity field has obvious influence on the intensity of spectra but a little effect on the spectral structure. The cavity dissipation makes also the measurement time an important factor in measuring spectral structure.