Cooperative decay of an ensemble of atoms in a one-dimensional chain with a single excitation

• URL: http://arxiv.org/abs/2406.08856v3
• Date: Tue, 25 Jun 2024 07:53:20 GMT
• Title: Cooperative decay of an ensemble of atoms in a one-dimensional chain with a single excitation
• Authors: Nicola Piovella,
• Abstract summary: Superradiance and subradiance arise naturally without the eigenvalue problem of the atom-atom interaction Green function. The cooperative decay rate can be interpreted as the imaginary part of the expectation value of the effective non-Hermitian Hamiltonian of the system. A simple approximated expression for the cooperative decay rate is obtained as a function of the lattice constant d and the atomic number N.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a new expression of the cooperative decay rate of a one-dimensional chain of N two-level atoms in the single-excitation configuration. From it, the interference nature of superradiance and subradiance arises naturally, without the need of solving the eigenvalue problem of the atom-atom interaction Green function. The cooperative decay rate can be interpreted as the imaginary part of the expectation value of the effective non-Hermitian Hamiltonian of the system, evaluated over a generalized Dicke state of N atoms in the single-excitation manifold. Whereas the subradiant decay rate is zero for an infinite chain, it decreases as 1/N for a finite chain. A simple approximated expression for the cooperative decay rate is obtained as a function of the lattice constant d and the atomic number N. The results are obtained first for the scalar model and then extended to the vectorial light model, assuming all the dipoles aligned.

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