title: Cascaded collective decay in regular arrays of cold trapped atoms.
abstract: Energy and lifetime of collective optical excitations in regular arrays of atoms and molecules are significantly influenced by dipole-dipole interaction. While the dynamics of closely positioned atoms can be approximated well by the Dicke superradiance model, the situation of finite regular configurations is hard to access analytically. Most treatments use an exciton based description limited to the lowest excitation manifold. We present a general approach studying the complete decay cascade of a finite regular array of atoms from the fully inverted to the ground state. We explicitly calculate all energy shifts and decay rates for two generic cases of a three-atom linear chain and an equilateral triangle. In numerical calculations we show that despite fairly weak dipole-dipole interactions, collective vacuum coupling allows for superradiant emission as well as subradiant states in larger arrays through multi-particle interference. This induces extra dephasing and modified decay as important limitations for Ramsey experiments in lattice atomic clock setups as well as for the gain and frequency stability of superradiant lasers.
authors: Institute for Theoretical Physics, University of Innsbruck Technikerstrasse 25/2, A-6020 Innsbruck, Austria. laurin.ostermann@uibk.ac.at
authors: Laurin
authors: L
authors: Ostermann
authors: Hashem
authors: H
authors: Zoubi
authors: Helmut
authors: H
authors: Ritsch