Super- and subradiant emission of two-level systems in the near-Dicke limit

Abstract

We analyze the stability of super- and subradiant states in a system of identical two-level atoms in the near-Dicke limit, i.e., when the atoms are very close to each other compared to the wavelength of resonant light. The dynamics of the system are studied using a renormalized master equation, both with multipolar and minimal-coupling interaction schemes. We show that both models lead to the same result and, in contrast to unrenormalized models, predict that the relative orientation of the (co-aligned) dipoles is unimportant in the Dicke limit. Our master equation is of relevance to any system of dipole-coupled two-level atoms, and gives bounds on the strength of the dipole-dipole interaction for closely spaced atoms. Exact calculations for small atom systems in the near-Dicke limit show the increased emission times resulting from the evolution generated by the strong dipole-dipole interaction. However, for large numbers of atoms in the near-Dicke limit, it is shown that as the number of atoms increases, the effect of the dipole-dipole interaction on collective emission is reduced.

14 pages, 6 figures, published version

References in corpus (4)

• Scalable solid-state quantum processor using subradiant two-atom states
• Coherent control in a decoherence-free subspace of a collective multi-level system
• Multi-particle decoherence free subspaces in extended systems
• Decoherence-free quantum-information processing using dipole-coupled qubits

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