Bound states in the continuum for an array of quantum emitters

Year: 2019

Authors: Facchi P., Lonigro D., Pascazio S., Pepe FV., Pomarico D.

Autors Affiliation: Univ Bari, Dipartimento Fis & MECENAS, I-70126 Bari, Italy; Ist Nazl Fis Nucl, Sez Bari, I-70126 Bari, Italy; CNR, INO, I-50125 Florence, Italy

Abstract: We study the bound states in the continuum for a system of n two-level quantum emitters, coupled with a one-dimensional photon field, when a single excitation is shared among the different components of the system. The emitters are equally spaced at fixed positions. We first consider the approximation of distant emitters and exhibit degenerate eigenspaces of bound states corresponding to resonant discrete values of the energy. We then consider the full form of the eigenvalue equation, in which the effects of the finite spacing and the field dispersion relation become relevant, yielding significant nonperturbative effects that can lift some degeneracies. We explicitly solve the cases n = 3 and n = 4 emitters.


Volume: 100 (2)      Pages from: 023834-1  to: 023834-15

DOI: 10.1103/PhysRevA.100.023834

Citations: 20
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