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

Peter G. Brooke, Karl Peter Marzlin, James D. Cresser, Barry C. Sanders

    Research output: Contribution to journalArticlepeer-review

    21 Citations (Scopus)
    16 Downloads (Pure)


    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 nonrenormalized models, predict that the relative orientation of the (coaligned) 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.

    Original languageEnglish
    Article number033844
    Pages (from-to)1-13
    Number of pages13
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Issue number3
    Publication statusPublished - 25 Mar 2008

    Bibliographical note

    Brooke PG, Marzlin KP, Cresser JD and Sanders BC, Phys. Rev. A, 77(3), 033844, 2008. Copyright (2008) by the American Physical Society. The original article can be found at


    Dive into the research topics of 'Super-and subradiant emission of two-level systems in the near-Dicke limit'. Together they form a unique fingerprint.

    Cite this