Quantum Electrodynamics of Dicke States: Resonant One-Photon Exchange Energy and Entangled Decay Rate
We calculate the fully retarded one-photon exchange interaction potential between electrically neutral, identical atoms, one of which is assumed to be in an excited state, by matching the scattering matrix (S matrix) element with the effective Hamiltonian. Based on the Feynman prescription, we obtain the imaginary part of the interaction energy. Our results lead to precise formulas for the distance-dependent enhancement and suppression of the decay rates of entangled superradiant and subradiant Dicke states (Bell states), as a function of the interatomic distance. The formulas include a long-range tail due to entanglement. We apply the result to an example calculation involving two hydrogen atoms, one of which is in an excited P state.
U. D. Jentschura and C. M. Adhikari, "Quantum Electrodynamics of Dicke States: Resonant One-Photon Exchange Energy and Entangled Decay Rate," Atoms, vol. 11, no. 1, article no. 10, MDPI, Jan 2023.
The definitive version is available at https://doi.org/10.3390/atoms11010010
Keywords and Phrases
Atomic Transitions; Long-Range Interactions; Optical Trapping
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2023
National Science Foundation, Grant PHY-2110294