Scattering of a single photon on a two-qubit structure with resonators

Abstract

In this paper, the scattering of a single photon in a waveguide–resonator–qubit system is studied. An open waveguide is connected to two resonators, located at an arbitrary distance from each other and containing a single qubit each. The scattering of a single photon makes it possible to describe the behavior of the system completely quantum mechanically. We show the existence of Fano resonance, which is a direct manifestation of the interference between the incident photon and virtual photons associated with transitions between the states of the system. The obtained expressions for the transmission coefficients allowed us to take into account the influence of the incident photon frequency on the resonances and their widths.

Universal Tool for Single-Photon Circuits: Quantum Router Design

“…To define scattering parameters, we should correctly disclose moduli signs in Equations (9)- (17). We do it by definitions (18) and (22) and get a set of 18 scattering amplitudes.…”

“…In general, this approach allows for obtaining the scattering and steady-state parameters of any microwave cQED chain. It was successfully applied to describe a single photon transport through the one and two qubit structures [14][15][16][17][18][19]. In the frame of this approach, the parameters spread and distances are easily being taken into account.…”

“…These equalities are used to disclose the modulus signs in Equations (9)- (17). However, we should mention that the final results don't depend on the zero coordinate choices.…”

Universal tool for single-photon circuits: quantum router design

“…It presents a universal method to a full quantum mechanical description of the scattering and statistical parameters of any QED chain. It was successfully implemented to describe photon transport through the different multi qubit structures [22][23][24][25][26][27]. This method has a set of advantages, and the most important is the natural account for the retardation effect and the derivation of the explicit form for the whole systems wave functions.…”