Optical cooperative effects of multiemitters in a one-dimensional (1D) dense array

Area of Science:

• Quantum Optics
• Condensed Matter Physics
• Nanophotonics

Background:

• Understanding light-matter interactions in dense emitter arrays is crucial for developing novel optical devices.
• Cooperative effects in multiemitter systems can lead to unique optical phenomena, such as bandgaps and Fano resonances.

Purpose of the Study:

• To theoretically explore the cooperative effects of equally spaced multiemitters in a one-dimensional (1D) dense array.
• To investigate the influence of array size and radiation-retention coefficient on collective optical spectra and transmissivity.
• To propose the application of 1D multiemitter arrays as nanoscale filters.

Main Methods:

• Modeling emitters as point-like coupled electric dipoles in a 1D waveguide.
• Calculating collective optical spectra using exact classical-electrodynamics and mean-field-theory formalisms.
• Analyzing transmissivity as a function of detuning for various array sizes and radiation-retention coefficients (η).

Main Results:

• Lossless 1D emitter arrays (η=1) exhibit cooperative effects, including steep edges, deep minima, and Fano resonances in transmissivity spectra.
• Optical bandgaps are observed in lossless arrays, with cooperativity being greater in smaller arrays (N≤8) compared to larger ones (N>8).
• Lossy 1D emitter arrays (η≤0.1) show no bandgap structures, consistent between exact-electrodynamics and mean-field-theory results.

Conclusions:

• 1D multiemitter arrays demonstrate significant cooperative effects that are dependent on array size and loss.
• The observed optical bandgaps suggest potential applications for these arrays as nanoscale filters for controlling light transmission.
• The findings provide theoretical insights into the behavior of light in structured quantum emitter systems.