Cooperative spontaneous emission of three identical atoms

Abstract

We study the influence of the distribution of atoms on the cooperative spontaneous emission by a simple model of three identical atoms. The effects of counter rotating terms are included by a unitary transformation method. By discussing two special cases that the three atoms are arranged as an equilateral triangle and in a straight line, we find that the superradiance of the coherent system largely dependent on the homogeneity of the atoms' distribution. If the atoms distribute symmetrically, the superradiant emission will be enhanced. Next, we calculate the emission spectra of three identical atoms under the single-photon state. We find that the distribution of atoms also has a great impact on the lamb shift and the spectrum. If three atoms are placed into an equilateral triangle and the same dipole moment is perpendicular to the plane of the three atoms, the spectrum will degenerate into two peaks from the three peaks for general case.

21pages, 11 figures

References in corpus (3)

• The cooperative Lamb shift in an atomic nanolayer
• Quantum Zeno and Anti-Zeno Effect without Rotating Wave Approximation
• Enhanced spontaneous emission from inhomogeneous ensembles of quantum dots is induced by short-range couplings

Cited by in corpus (11)

• Cooperative eigenmodes and scattering in 1D atomic arrays
• Extremely subradiant states in a periodic one-dimensional atomic array
• Effect of atomic distribution on cooperative spontaneous emission
• Cooperative spontaneous emission from indistinguishable atoms in arbitrary motional quantum states
• Master equation for collective spontaneous emission with quantized atomic motion
• Kerker Effect, Superscattering, and Scattering Dark State in Atomic Antennas
• Competition between finite-size effects and dipole-dipole interactions in few-atom systems
• Near-resonant light transmission in two-dimensional dense cold atomic media with short-range positional correlations
• Calculations of long-range three-body interactions for He($n_0{}^{\lambda }S$)-He($n_0{}^{\lambda }S$)-He($n_0^{\prime }{}^{\lambda }L$)
• Photon statistics of the light transmitted and reflected by a two-dimensional atomic array
• Quantifying the breakdown of the rotating-wave approximation in single-photon superradiance