Superradiant emission spectra of a two-qubit system in circuit quantum electrodynamics

Ya. S. Greenberg () and O. A. Chuikin
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Ya. S. Greenberg: Novosibirsk State Technical University
O. A. Chuikin: Novosibirsk State Technical University

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 9, 1-19

Abstract: Abstract In this paper, we study the spontaneous emission spectra and the emission decay rates of a simplest atom system that exhibits sub- and superradiant properties: a system which consists of two artificial atoms (superconducting qubits) embedded in a one-dimensional open waveguide. The calculations are based on the method of the transition operator which was firstly introduced by R. H. Lehmberg to theoretically describe the spontaneous emission of two-level atoms in a free space. We obtain the explicit expressions for the photon radiation spectra and the emission decay rates for different initial two-qubit configurations with one and two excitations. For every initial state we calculate the radiation spectra and the emission decay rates for different effective distances between qubits. In every case, a decay rate is compared with a single qubit decay to show the superradiant or subradiant nature of a two-qubit decay with a given initial state. Graphic Abstract

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00418-6

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