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.
Highlights
The study of interaction between light and matter is one of the core topics in modern physics [1]
We investigate the relaxation dynamics of a single artificial atom interacting, via multiple coupling points, with a continuum of bosonic modes in a one-dimensional waveguide
In the nonMarkovian regime, where the traveling 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
Summary
The study of interaction between light and matter is one of the core topics in modern physics [1]. The physical origin of the non-Markovianity is typically the coupling to a structured bath causing information backflow from the environment [44,45,46] These systems can exhibit nonexponential relaxation [47,48] and bound states [34,49,50,51,52,53,54,55,56,57,58,59,60], which can be harnessed for quantum simulations [61,62].
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