Mesoscopic Cooperative Emission From a Disordered System

Abstract

We study theoretically the cooperative light emission from a system of $N\gg 1$ classical oscillators confined within a volume with spatial scale, $L$, much smaller than the radiation wavelength, ${\lambda }_0=2\pi c/{\omega }_0$. We assume that the oscillators frequencies are randomly distributed around a central frequency, ${\omega }_0$, with some characteristic width, $\Omega \ll {\omega }_0$. In the absence of disorder, that is $\Omega =0$, the cooperative emission spectrum is composed of a narrow subradiant peak superimposed on a wide superradiant band. When $\Omega \ne 0$, we demonstrate that if $N$ is large enough, the subradiant peak is not simply broadened by the disorder but rather splits into a system of random narrow peaks. We estimate the spectral width of these peaks as a function of $N,L,\Omega$, and ${\lambda }_0$. We also estimate the amplitude of this mesoscopic structure in the emission spectrum.

25 pages including 6 figures

Cited by in corpus (19)

• Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
• Molecular polaritonics: Chemical Dynamics under strong Light-Matter Coupling
• Cooperative emission of light by an ensemble of dipoles near a metal nanostucture: The plasmonic Dicke effect
• Random Resonators and Prelocalized Modes in Disordered Dielectric Films
• Plasmon-mediated superradiance near metal nanostructures
• Localization in a random $x-y$ model with the long-range interaction: Intermediate case between single particle and many-body problems
• Cooperative Robustness to Static Disorder: Superradiance and localization in a nanoscale ring to model natural light-harvesting systems
• Dynamics of quantum dot superradiance
• Subradiant hybrid states in the open 3D Anderson-Dicke model
• Exciton-plasmon energy exchange drives the transition to strong coupling regime
• Opening-Assisted Coherent Transport in the Deep Classical Regime
• Many-body localization in spin chains with the long-range transverse interactions: scaling of critical disorder with the system size
• Collective scattering in hybrid nanostructures with many atomic oscillators coupled to an electromagnetic resonance
• Matter-wave analog of an optical random laser
• Energy transfer and interference by collective electromagnetic coupling
• Cooperative amplification of energy transfer in plasmonic systems
• Loss of adiabaticity with increasing tunneling gap in non-integrable multistate Landau-Zener models
• Spaser quenching by off-resonant plasmon modes
• Cooperative emission mediated by cooperative energy transfer to a plasmonic antenna