Quantum control of bound and continuum state dynamics

Moshe Shapiro, Paul W. Brumer

Xiaojun Zhang, Mingjie 明杰 Zhu 朱, Zhihai Wang

Abstract We investigate phase-controlled bound states in a one-dimensional photonic waveguide coupled to an artificial giant atom at two distant sites. Specifically, we identify the bound state out of the continuum (BOC) and the bound state in the continuum (BIC) and derive the exact existence condition for the BOC. Furthermore, we analytically determine the BIC’s frequency and photonic distribution profile. Remarkably, our analysis reveals quantum beats in both atomic and photonic dynamics, arising from coherent oscillations between the BIC and BOC. These results establish a novel approach for manipulating waveguide quantum electrodynamics via engineered bound states, with potential applications in quantum information processing.

Dimitrios Charalambidis, Natalia E. Karapanagioti, D. Xenakis +8 more

Savannah Sterling Garmon, Ken-ichi Noba, Gonzalo E. Ordonez +1 more

We propose a methodical approach to controlling and enhancing deviations from exponential decay in quantum and optical systems by exploiting recent progress surrounding another subtle effect: the bound states in the continuum, which have been observed in optical waveguide array experiments within this past decade. Specifically, we show that by populating an initial state orthogonal to that of the bound state in the continuum, it is possible to engineer system parameters for which the usual exponential decay process is suppressed in favor of inverse power law dynamics and coherent effects that typically would be extremely difficult to detect in experiment. We demonstrate our method using a model based on an optical waveguide array experiment and further show that the method is robust even in the face of significant detuning from the precise location of the bound state in the continuum.

Xiaojun Zhang, Mingjie Zhu, Zhihai Wang

We find the phase-controlled bound state out of the continuum~(BOC) and bound state in the continuum~(BIC) in an artificial giant atom dressed one-dimensional photonic waveguide where the giant atom couples to the waveguide via two distant sites. We obtain the existence condition of the BOC as well as the frequency and the photonic distribution in the BIC. More interestingly, we predict the quantum beats in the atomic and photonic dynamical evolution, which is induced by the oscillation between the BIC and the BOCs. These findings provide an approach to manipulate the waveguide system via the bound states.

HERSCHEL A. RABITZ, Gabriel Turinici, Eric Brown