Oscillating bound states for a giant atom

TL;DR

This paper explores how a giant atom coupled at multiple points to a waveguide can form stable, oscillating bound states in a non-Markovian regime, with potential for experimental realization.

Contribution

It introduces the concept of oscillating bound states in giant atoms with multiple coupling points, extending understanding of non-Markovian quantum dynamics.

Findings

Boson can be trapped forming a stable bound state.

Multiple coupling points enable persistent oscillations.

Proposed experimental schemes for realization.

Abstract

We investigate the relaxation dynamics of a single artificial atom interacting, via multiple coupling points, with a continuum of bosonic modes (photons or phonons) in a one-dimensional waveguide. In the non-Markovian regime, where the travelling time of a photon or phonon between the coupling points is sufficiently large compared to the inverse of the bare relaxation rate of the atom, we find that a boson can be trapped and form a stable bound state. More interestingly, if the number of coupling points is more than two, the bound state can oscillate persistently by exchanging energy with the atom despite the presence of the dissipative environment. We propose several realistic experimental schemes to generate such oscillating bound states.