Waveguide bandgap N-qubit array with a tunable transparency resonance

Abstract

We study a single photon transmission through 1D N- qubit chain. The qubits are supposed to be identical with equal distance between neighbors. We express the transfer matrix of N- qubit chain in terms of Chebyshev polynomials, which allows us to obtain simple expressions for the transmission and reflection amplitudes for arbitrarily large N. If the distance between neighbor qubits is equal to half wavelength, the transmission spectrum exhibits a flat bandgap structure with very steep walls. We show that for odd N the tuning of the excitation frequency of a central qubit gives rise to the appearance within a bandgap of a narrow resonance with a full transmission. The position of the resonance and its width can be controlled by the frequency of a central qubit. We show that the formation of the bandgap and of the transmission resonance is conditioned by the overlapping the widths of individual qubits which results from the strong coupling between qubits and waveguide photons.

arXiv commentTwo figures and several new references have been added

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Cited by in corpus (11)

• Coherent single-photon scattering spectra for a giant-atom waveguide-QED system beyond dipole approximation
• Manipulating single-photon transport in a waveguide-QED structure containing two giant atoms
• Single photon scattering from a chain of giant atoms coupled to a one-dimensional waveguide
• Efficient single-photon directional transfer between waveguides via two giant atoms
• Engineering photonic band gaps with a waveguide-QED structure containing an atom-polymer array
• Multiple electromagnetically induced transparency without a control field in an atomic array coupled to a waveguide
• Single-photon scattering on a qubit. Space-time structure of the scattered field
• Quantum Borrmann effect for dissipation-immune photon-photon correlations
• Single-photon scattering on a two-qubit system. Spatio-temporal structure of the scattered field
• The Diversity of Core Halo Structure in the Fuzzy Dark Matter Model
• Spontaneous decay of artificial atoms in a multi-qubit system