Transmission of a microwave cavity coupled to localized Shiba states

Abstract

We consider a strongly correlated quantum dot, tunnel coupled to two superconducting leads and capacitively coupled to a single mode microwave cavity. When the superconducting gap is the largest energy scale, multiple Shiba states are formed inside the gap. The competition of these states for the ground state signals a quantum phase transition. We demonstrate that photonic measurements can be used to probe such localized Shiba states. Moreover, the quantum phase transition can be pinpointed exactly from the sudden change in the transmission signal. Calculations were performed using the numerical renormalization group approach.

9 pages, 8 figures

References in corpus (7)

• Photon-mediated interactions between distant artificial atoms
• Cavity-coupled double-quantum dot at finite bias: analogy with lasers and beyond
• Phase diagram and excitations of a Shiba molecule
• Spectrum of Andreev Bound States in a Molecule Embedded Inside a Microwave-Excited Superconducting Junction
• Characterization of a microwave frequency resonator via a nearby quantum dot
• Sub-gap spectroscopy of thermally excited quasiparticles in a Nb contacted carbon nanotube quantum dot
• Electron-photon coupling in Mesoscopic Quantum Electrodynamics

Cited by in corpus (4)

• Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena
• Study of the cavity-magnon-polariton transmission line shape
• Cavity photons as a probe for charge relaxation resistance and photon emission in a quantum dot coupled to normal and superconducting continua
• Probing and dressing magnetic impurities in a superconductor