Qubit-Photon Bound States in Superconducting Metamaterials

Abstract

We study quantum features of electromagnetic radiation propagating in the one-dimensional superconducting quantum metamaterial comprised of an infinite chain of charge qubits placed within two-stripe massive superconductive resonators. The Quantum-mechanical model is derived assuming weak fields and that, at low temperatures, each qubit is either unoccupied ($N=0$) or occupied by a single Cooper pair ($N=1$). Based on this assumption we demonstrate the emergence of two bands of single-photon-qubit bound states with the energy lying within (lower branch) or outside (higher) the photon continuum. The emergence of bound states may cause radiation trapping which could be of interest for the control of photon transport in these systems.

References in corpus (10)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Probing many-body dynamics on a 51-atom quantum simulator
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Progress in Superconducting Metamaterials
• Quantum metamaterials: Electromagnetic waves in a Josephson qubit line
• Controlling Quasibound States in 1D Continuum Through Electromagnetic Induced Transparency Mechanism
• Qubit-photon bound states in topological waveguides with long-range hoppings
• Effects of lasing in a one-dimensional quantum metamaterial
• Investigation of resonant and transient phenomena in Josephson junction flux qubits
• Quantum cavity modes in spatially extended Josephson systems