2017
DOI: 10.1103/physreva.95.032706
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Coupled-square-well model and Fano-phase correspondence

Abstract: This paper investigates the Fano-Feshbach resonance with a two-channel coupled-square-well model in both the frequency and time domains. This systems is shown to exhibit Fano lineshape profiles in the energy absorption spectrum. The associated time-dependent transition moment response has a phase shift that has recently been understood to be related to the Fano lineshape asymmetric q parameter by ϕ = 2 arg(q − i). The present study demonstrates that the phase-q correspondence is general for any Fano resonance … Show more

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Cited by 6 publications
(3 citation statements)
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“…The coupling term V cpl (x) is a hyper-gaussian function optimised empirically to obtain the desired resonance parameters, q and Γ R . This model reproduces very well the features of Fano resonances [37], and is simple enough to allow extensive time-dependent and time-independent numerical simulations.…”
Section: Coupled-channel Modelmentioning
confidence: 73%
“…The coupling term V cpl (x) is a hyper-gaussian function optimised empirically to obtain the desired resonance parameters, q and Γ R . This model reproduces very well the features of Fano resonances [37], and is simple enough to allow extensive time-dependent and time-independent numerical simulations.…”
Section: Coupled-channel Modelmentioning
confidence: 73%
“…All these measurements now possible of very short time scales allow the probing of Fano resonances in the time domain, following their very build up [41][42][43][44] in time. See also a pedagogical treatment in [45]. Remarkably, even shorter time scales can now be measured.…”
Section: Phase Shifts and Their Derivativesmentioning
confidence: 99%
“…Fano resonance is a widespread wave-scattering phenomenon. It has been widely studied in atoms ( 2 4 ), molecules ( 5 8 ), nuclei ( 9 , 10 ), solids ( 11 ), nanostructure ( 12 ), and acoustic systems. Since the asymmetric line shape is sensitive to the structure, as well as to the environment, the so-called topological Fano resonances have been found to have wide applications ( 13 ).…”
mentioning
confidence: 99%