2019
DOI: 10.1103/physreva.100.023834
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Bound states in the continuum for an array of quantum emitters

Abstract: We study the existence of bound states in the continuum for a system of n two-level quantum emitters, coupled with a one-dimensional boson field, in which a single excitation is shared among different components of the system. The emitters are fixed and equally spaced. We first consider the approximation of distant emitters, in which one can find degenerate eigenspaces of bound states corresponding to resonant values of energy, parametrized by a positive integer. We then consider the full form of the eigenvalu… Show more

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Cited by 40 publications
(32 citation statements)
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“…It can have a variety of physical origins such as structured bath spectral densities, strong system-bath couplings, low temperatures, or initial system-bath correlations among others [8,9,[11][12][13][14]. Delay-induced non-Markovian dynamics has been previously studied in the context of the spontaneous emission of single atoms [4,15,[17][18][19][20][21][22][23], bound states in continuum (BIC) of the EM field [24][25][26][27], and entanglement generation in emitters coupled to waveguides [4,28]. The effects of non-Markovianity have also been investigated in collective atomic states in the context of structured reservoirs [29][30][31][32][33] and in the strongcoupling regime [34].…”
mentioning
confidence: 99%
“…It can have a variety of physical origins such as structured bath spectral densities, strong system-bath couplings, low temperatures, or initial system-bath correlations among others [8,9,[11][12][13][14]. Delay-induced non-Markovian dynamics has been previously studied in the context of the spontaneous emission of single atoms [4,15,[17][18][19][20][21][22][23], bound states in continuum (BIC) of the EM field [24][25][26][27], and entanglement generation in emitters coupled to waveguides [4,28]. The effects of non-Markovianity have also been investigated in collective atomic states in the context of structured reservoirs [29][30][31][32][33] and in the strongcoupling regime [34].…”
mentioning
confidence: 99%
“…In photonic metastructures realm, this type of Fano or toroidal resonances has been categorized as high-Q quasi-BICs (Q-BIC). Augmentation of optical nonlinearities, [416][417][418] light guiding, [419] beam shaping, [420] quantum photonics, [421] and sensing and imaging [422,423] are some of important use cases of Q-BIC resonant metastructures. In Figure 15, sketches of several types of recently proposed Q-BIC metamaterials and resonators are demonstrated.…”
Section: Quasi-bound States In the Continuum (Q-bic) Metasensorsmentioning
confidence: 99%
“…The condition of BICs for a linear chain was considered in Refs. [36,44]. As shown in Appendix E, the overall condition for BICs can be generalized to higher dimensions as c p c e (n) σ = 0…”
Section: Multidimensional Superradiance Subradiance and Bicmentioning
confidence: 99%
“…Specifically, we highlight a connection between multidimensional lattices and linear chains and show that this connection can be used to compute the collective decay rates of multidimensional networks. We study collective phenomena such as super-and subradiance [11,[32][33][34] and bound states in continuum (BICs) [35,36] in these multidimensional systems [37]. In our investigations, we discover the concept of multidimensional superradiance, where, unlike the well-known phenomenon discussed by Dicke [38], superradiance becomes partitioned for these multidimensional networks.…”
Section: Introductionmentioning
confidence: 99%