Emergent Oscillating bound states in a semi-infinite linear waveguide with a point-like $\mathrm{\Lambda }$-type quantum emitter driven by a classical field

An oscillating bound state is a phenomenon where excitations mediated by the continuum modes oscillate persistently. Although it is generated by the superposition of two bound states in the continuum (BICs), such phenomenon is said to be unique to giant atoms. We present the phenomenon of an oscillating bound state with an alternative waveguide QED system, which is a one-dimensional semi-infinite waveguide coupled to a $\mathit{\text{point-like}}$ quantum emitter. This $\mathit{\text{point-like}}$ quantum emitter is $\mathrm{\Lambda }$-type quantum system with one transition driven by a classical field.