Fizika Nizkikh Temperatur: Volume 43, Number 7 (July 2017), p. 1003-1010    ( to contents , go back )

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

A.N. Sultanov1, D.S. Karpov2, Y.S. Greenberg1, S.N. Shevchenko2,3, and A.A. Shtygashev1

1Новосибирский государственный технический университет пр. К. Маркса, 20, г. Новосибирск, 630073, Россия

2B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Nauky Ave., Kharkiv 61103, Ukraine
E-mail: sultanov.aydar@ngs.ru, karpov@ilt.kharkov.ua

3V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv 61022, Ukraine

Received February 1, 2017

Abstract

In this paper, the scattering of a single photon in a waveguide–resonator–qubit system is studied. The open waveguide is connected to two resonators, each of which contains only one qubit. The resonators are located at an arbitrary distance from each other. 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 incoming photon and virtual photons associated with transitions between states of the system. The obtained expressions for the transmission coefficients allow one to take into account the influence of the incident photon’s frequency on resonances and their widths.

PACS: 42.50.Hz Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift;
PACS: 85.25.Am Superconducting device characterization, design, and modeling;
PACS: 85.25.Hv Superconducting logic elements and memory devices; microelectronic circuits.

Key words: qubit, superconductive resonator, micro-wave photon.

Published online: May 25, 2017

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