Superradiation in a two-dimensional model

Vincenzo Gino Benza, E. Montaldi, Mikael Ciftan

Igor V. Mel’nikov, Joseph W. Haus, James Stewart Aitchison

In this paper, we study the superradiant decay of an ensemble of inverted two-level atoms embedded into a continuous dielectric and a two-dimensional (2-D) photonic crystal with lateral confinement of the radiation. The nonlinear superradiance pulse characteristics are calculated using a Green's-function-based model. Specifically, we predict fast phase synchronization across the ensemble that builds up a distributed feedback structure responsible for the superradiation anisotropic emission and the directional switching. We show that the transfer of the optical excitation takes place along the Bragg planes and is manifested by strong energy localization.

O. N. Gadomskiĭ, V. R. Nagibarov, N. K. Solovarov

R. F. Malikov, Viktor A. Malyshev, Evgenii Dmitrievich Trifonov

N. S. Ginzburg, E. R. Kocharovskaya, Alexander S. Sergeev

Numerical one-dimensional simulation of the superradiance phenomenon in a sample of a two-level medium with cw pumping under the conditions of resonant Bragg backscattering of counterpropagating waves has been performed. A range of parameters is determined in which a superradiant laser generating a chaotic sequence of ultrashort high-power pulses can be implemented, and the properties of these pulses are studied.

Jian-Song Pan

The superradiant phase transitions of one-dimensional correlated Fermi gases in a transversely driven optical cavity, under the umklapp condition that the cavity wave number is equal to two times the Fermi wave number, are studied with bosonization and renormalization group techniques. The bosonization of Fermi fields gives rise to an all-to-all sine-Gordon (SG) model due to the cavity-assisted nonlocal interactions, where the Bose fields at any two spatial points are coupled. The superradiant phase transition is then mapped to the Kosterlitz-Thouless phase transition of the all-to-all SG model. The nesting effect, in which the superradiant phase transition can be triggered by an infinitely small atom-cavity coupling strength, is shown to be preserved for any nonattractive local interactions. For attractive local interactions, the phase transition occurs at a finite critical coupling strength. Nevertheless, the analysis of the scaling dimension indicates that the perturbation of the nonlocal cosine term is indeed relevant (irrelevant) when the scaling dimension is lower (higher) than the critical dimension, similar to the case of an ordinary local SG model. Our work provides an analytical framework for understanding the superradiant phase transitions in low-dimensional correlated intracavity Fermi gases.