Oscillating bound states in non-Markovian photonic lattices

It is known that the superposition of two bound states in the continuum (BICs) leads to the phenomenon of an oscillating bound state, where excitations mediated by the continuum modes oscillate persistently. We perform exact calculations for the oscillating BICs in a one-dimensional photonic lattice coupled to a giant atom at multiple points. Our work is significantly distinct from previous proposals of oscillating BICs in continuous waveguide systems due to the presence of a finite energy band contributing band-edge effects. In particular, we show that the bound states outside the energy band are detrimental to the oscillating BIC phenomenon, and can be suppressed by increasing either the number of coupling points or the separation between each coupling point. Crucially, non-Markovianity is necessary for the existence of oscillating BICs, and the oscillation amplitude increases with the characteristic delay time of the giant atom interactions. We also propose an initialization scheme in the BIC subspace. Our work be experimentally implemented on current photonic waveguide array platforms and opens up prospects in utilizing reservoir engineering for the storage of quantum information in photonic lattices.

Automated summary

In this work, we investigate the oscillating bound state in a one-dimensional photonic lattice coupled to a giant atom at multiple points. Our study reveals the contribution of the finite energy band to the oscillating bound state phenomenon, and demonstrates that the bound states outside the energy band can be suppressed by increasing the number of coupling points or the separation between each coupling point. We also find that non-Markovianity is crucial for the existence of oscillating bound states, and the oscillation amplitude increases with the characteristic delay time of the giant atom interactions. Additionally, we propose an initialization scheme in the bound state subspace. Our findings can be experimentally implemented on current photonic waveguide array platforms and have potential implications for quantum information storage in photonic lattices using reservoir engineering.