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Bulletin of the Russian Academy of Sciences Physics

Radiation Trapping in a Three-Dimensional Disordered Atomic Ensemble inside a Waveguide

A. S. Kuraptsev, К. А. Баранцев, A. N. Litvinov, Г. В. Волошин, Hui Meng, Igor M. Sokolov

Published Jun 1, 2022• 4 citations
Publisher

Abstract

Abstract A consistent quantum microscopic approach is used to analyze the effect of radiation trapping in a disordered ensemble of point impurity atoms in a waveguide. It is shown that in a single-mode waveguide, the period of radiation trapping grows exponentially upon an increase in the size of the medium, testifying to the Anderson localization of light.

DOI
10.3103/s1062873822060181

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Abstract A consistent quantum microscopic approach is used to analyze the effect of radiation trapping in a disordered ensemble of point impurity atoms in a waveguide. It is shown that in a single-mode waveguide, the period of radiation trapping grows exponentially upon an increase in the size of the medium, testifying to the Anderson localization of light.
Light transport in a disordered ensemble of resonant atoms placed in a waveguide is found to be very sensitive to the sizes of the cross section of a waveguide. Based on a self-consistent quantum microscopic model treating atoms as coherent radiating dipoles, we have shown that the nature of radiation transfer changes from Anderson localization regime in a single-mode waveguide to a traditional diffuse transfer in a multimode one. Moreover, the transmittance magnitude undergoes complicated steplike nonmonotonic dependence on the transverse sizes of a waveguide.
Based on a consistent quantum microscopic approach, we investigate the peculiarities of collective polyatomic effects in atomic ensembles placed in a waveguide, caused by the presence of evanescent modes of electromagnetic field. We analyze the influence of these modes on the process of cooperative spontaneous decay, as well as on the nature of radiation transfer in the ensembles under consideration. We show that under certain conditions, their influence can be dominant compared to the role of radiation modes, and the mechanism for this influence is the modification of dipole-dipole interatomic interaction.
The subject of the graduate qualification work is «Analysis of the character of radiation transfer in a disordered three-dimensional ensemble of point scatterers in a waveguide». Object of study is waveguide. The aim is exploring the transmission properties of photons between atoms in waveguide. The following tasks were solved: 1. Calculation of the Green matrix for an ensemble of point-like stationary atoms in a waveguide; 2. Analysis of the nature of dipole-dipole interaction between two atoms; 3. Calculation of the dynamics of cooperative spontaneous decay of excited states of atoms in a waveguide; 4. Transition to the regime of stationary excitation of an atomic ensemble. Calculation of stationary amplitudes of singly excited atomic states; 5. Calculation and analysis of the dependence of the transmittance coefficient in the stationary regime on the size of the atomic medium in the waveguide. As a result of the study, we show how changing the size of messy waveguides controls how atoms emit light. These discoveries help us build better light-based computers and sensors. MATLAB is used to calculate and simulate the mathematical model of interatomic radiation transmission in waveguide.
Atomic arrays can exhibit collective light emission when the transition wavelength exceeds their lattice spacing. Subradiant states take advantage of this phenomenon to drastically reduce their overall decay rate, allowing for long-lived states in dissipative open systems. We build on previous work to investigate whether or not disorder can further decrease the decay rate of a singly excited atomic array. More specifically, we consider spatial disorder of varying strengths in a one-dimensional (1D) half waveguide and in 1D, two-dimensional (2D), and three-dimensional (3D) atomic arrays in free space and analyze the effect on the most subradiant modes. While we confirm that the dilute half waveguide exhibits an analog of Anderson localization, the dense half waveguide and free-space systems can be understood through the creation of close-packed, few-body subradiant states similar to those found in the Dicke limit. In general, we find that disorder provides little advantage in generating darker subradiant states in free space on average and will often accelerate decay. However, one could potentially change interatomic spacing within the array to engineer specific subradiant states.