Fig. 3
From: Tunable super- and subradiant boundary states in one-dimensional atomic arrays
The spectrum with \(b=\sqrt{5}/10\). a The spectrum \(\omega\) as a function of the modulation phase \(\phi\) under open boundary condition for an atomic array with the atomic number \(N=101\) and the spacing \(a=0.1\lambda\). The applied external magnetic field has parameters \(\mu {B}_{0}=10{\gamma }_{0}\) and \(b=\sqrt{5}/10\). A1, A2, A3, A4 and B1, B2, B3, B4 label a variety of boundary states with \((\omega -{\omega }_{0})/{\gamma }_{0}=8.15\) and \(-7.21\), respectively, at different \(\phi\). b, c The zoom-in spectra, showing the details of boundary states. The color of the spectrum gives the collective decay rate \(\gamma\). \({\omega }_{0}\) denotes the atomic transition frequency and \({\gamma }_{0}\) denotes the atomic decay rate in the free space.
