Resonance spectrum of a bulk fermion on branes

Abstract

It is known that there are two mechanisms for localizing a bulk fermion on a brane, one is the well-known Yukawa coupling and the other is the new coupling proposed in [Phys. Rev. D 89, 086001 (2014)]. In this paper, we investigate localization and resonance spectrum of a bulk fermion on the same branes with the two localization mechanisms. It is found that both the two mechanisms can result in a volcano-like effective potential of the fermion Kaluza-Klein modes. The left-chiral fermion zero mode can be localized on the brane and there exist some discrete massive fermion Kaluza-Klein modes that quasilocalized on the brane (also called fermion resonances). The number of the fermion resonances increases linearly with the coupling parameter.

Confinement-induced resonance of alkaline-earth-metal-like atoms in anisotropic quasi-one-dimensional traps

“…Another distinctive feature of AE atoms is the existence of spin-exchange scattering between the ground state 1 S 0 and clock state 3 P 0 [17][18][19], which is not only crucial for the technique of orbital Feshbach resonance (OFR) to tune the interatomic interaction [21][22][23], but also a essential ingredient for the simulation of Kondo physics [12,[24][25][26][27]. It is then of great interest to find a way to enhance the spin-exchange interaction strength, and in turn the Kondo temperature to the extent achievable in current experiments.…”

Efimov-enhanced Kondo effect in alkali-metal and alkaline-earth-metal atomic gas mixtures

“…the confinement-induced-resonance to enhance such spinexchange interaction between the ground and the clock states of alkaline-earth atoms [14][15][16][17].…”

“…(3) into a localized state for |M, s and in terms of momentum states for |II, s , it is straightforward to yield the Kondo model with the Kondo coupling depending on a + − a − [14]. Efimov Enhanced Spin-Exchange Interaction.…”

“…Simulating Kondo physics with cold atom system can also offer great promise for discovering new physics, for instance, by tuning the spinexchange interaction to be quite strong or by quenching to the Kondo regime to watch the dynamical formation of the screening cloud. However, despite of great interests and many proposals of simulating the Kondo physics with cold atoms [4][5][6][7][8][9][10][11][12][13][14][15][16], this goal has not succeeded yet.…”

Quasiexact Kondo Dynamics of Fermionic Alkaline-Earth-Like Atoms at Finite Temperatures

“…An alternative approach for analyzing the prototypical two-orbital models is analog quantum simulation [11] using optical lattices loaded with ultracold gases [12][13][14]. It has been proposed that optical-lattice quantum simulators (OLQSs) of the two-orbital models can be realized with use of fermionic alkaline-earth-like atoms (AEAs) [15][16][17][18][19], such as strontium [20] and ytterbium [21,22]. A remarkable advantage of AEAs over alkali atoms is the existence of the electronically excited state 3 P 0 or 3 P 2 with long lifetime, which can be coupled to the ground state 1 S 0 via an ultranarrow clock transition.…”