Time-dependent theory of single-photon scattering from a two-qubit system

Ya. S. Greenberg (), A. A. Shtygashev and A. G. Moiseev
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Ya. S. Greenberg: Novosibirsk State Technical University
A. A. Shtygashev: Novosibirsk State Technical University
A. G. Moiseev: Novosibirsk State Technical University

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 12, 1-17

Abstract: Abstract This paper investigates the manipulation of photon propagation in a one-dimensional waveguide coupled to a system of two identical superconducting qubits. The study focuses on the spatio-temporal distribution of the electric field resulting from the scattering of a single-photon narrow pulse. The method employed extends a previously developed time-dependent theory for a single qubit. Utilizing the Wigner-Weisskopf approximation, the explicit expressions for the forward and backward photon scattering amplitudes are derived. The associated electric fields are calculated for various regions in the 1D space, revealing contributions from the free incoming photon field, spontaneous qubit decay, and steady-state solutions. The findings contribute to understanding the behavior of superconducting qubits in open waveguide, providing insights into their potential applications in quantum devices and information technologies. Graphic abstract

Date: 2023
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DOI: 10.1140/epjb/s10051-023-00629-5

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