@article{9ca6da108a054c28a75e625732ae07fb,
title = "Qubit-photon bound states in superconducting metamaterials",
abstract = "We study quantum features of electromagnetic radiation propagating in a one-dimensional superconducting quantum metamaterial composed of an infinite chain of charge qubits placed within two stripe massive superconducting resonators. The quantum-mechanical model is derived assuming weak fields and that, at low temperatures, each qubit is either unoccupied or occupied by a single Cooper pair. We demonstrate the emergence of two bands of single-photon qubit bound states with the energies lying outside the photon continuum - one is above and the second slightly below the linear photon band. The higher energy band varies slowly with the qubit-photon center of mass quasimomentum. It becomes practically flat provided that the electromagnetic energy is far below the Josephson energy when the latter is small compared to the charging energy. The dispersion of the lower band is practically identical to that of free photons. The emergence of bound states may cause radiation trapping indicating possible applicability for the control of photon transport in superconducting qubit-based artificial media.",
author = "M. Peji{\'c} and Pr{\v Z}ulj and D. Chevizovich and N. Lazarides and Tsironis, \{G. P.\} and Z. Ivi{\'c}",
note = "Funding Information: We thank D. Kapor for fruitful discussions and useful comments on the paper. This work was supported by the Ministry of Education, Science, and technological development of the Republic of Serbia. Z.I. acknowledges support by the Vin{\v c}a Institute, Special Grant No. 104-1-2/2020-020. We also acknowledge the cofinancing of this research by the European Union and Greek national funds through the Operational Program Crete 2020–2024, under the call “Partnerships of Companies with Institutions for Research and Transfer of Knowledge in the Thematic Priorities of RIS3Crete,” with project title “Analyzing urban dynamics through monitoring the city magnetic environment” (KPHP1 Project No. 0029067). N.L. acknowledges support from the General Secretariat for Research and Technology and the Hellenic Foundation for Research and Innovation (Project No. 203). Publisher Copyright: {\textcopyright} 2022 American Physical Society.",
year = "2022",
month = jun,
day = "15",
doi = "10.1103/PhysRevB.105.235439",
language = "British English",
volume = "105",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Institute of Physics",
number = "23",
}