Abstract
Feshbach resonance is a resonance for two-atom scattering with two or more channels, in which a bound state is achieved in one channel. We show that this resonance phenomenon not only exists during the collisions of massive particles, but also emerges during the coherent transport of massless particles, that is, photons confined in the coupled resonator arrays linked by a separated cavity or a tunable two level system (TLS). When the TLS is coupled to one array to form a bound state in this setup, the vanishing transmission appears to display the photonic Feshbach resonance. This process can be realized through various experimentally feasible solid state systems, such as the couple defected cavities in photonic crystals and the superconducting qubit coupled to the transmission line. The numerical simulation based on the finite-different time-domain (FDTD) method confirms our assumption about the physical implementation.
Highlights
Hermann Feshbach predicted fifty years ago [1] that when two atomic nuclei are scattered within an open entrance channel— the state observable at infinity, they may enter an intermediate closed channel — the locally bounded state of the nuclei
Quasi-bound states have been predicted in tight-binding fermionic quantum wires [19] for localized fermions and in the optical coupled resonator arrays [3, 20, 21] for confined photons
The desired resonance between the bound and the unbound states can be found inside a pair of parallelly placed coupled resonator arrays [3], a series of consecutively placed optical microcavities that entrap photons and allow photon-hopping from one of the cavities to its closest neighbors at left and right
Summary
The development of laser cooling technologies has enabled the observation of lowenergy Feshbach resonance in ultra-cold atoms [6, 7, 8] and Bose-Einstein condensates (BEC) [9, 10] These experiments have helped verify the simulation of various theoretical predictions of condensing phenomena in solid state systems [11]. Quasi-bound states have been predicted in tight-binding fermionic quantum wires [19] for localized fermions and in the optical coupled resonator arrays [3, 20, 21] for confined photons.
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