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Cooperative spontaneous emission as a many-body eigenvalue problem

2008/04/12 by Anatoly A. Svidzinsky, Anatoly Svidzinsky, Juntao Chang +1 · 3 citations
Computer Science · Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Quantum Information and Cryptography #Quantum optics and atomic interactions #physics.atom-ph #physics.optics

paper · pdf · doi:10.1103/physreva.77.043833

published as Physical Review A 77, 043833 (2008) · 5 pages, 3 figures, to appear in Physical Review A

arxiv created 2008/04/12 · openalex publication_date 2008/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study emission of a single photon from a spherically symmetric cloud of N atoms (one atom is excited; N\ensuremath-1 are in the ground state) and present an exact analytical expression for eigenvalues and eigenstates of this many-body problem. We found that some states decay much faster than the single-atom decay rate, while other states are trapped and undergo very slow decay. When the size of the atomic cloud is small compared with the radiation wavelength, we found that the radiation frequency undergoes a large shift.

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