Theory of coherent quantum phase-slips in Josephson junction chains with periodic spatial modulations

Abstract

We study coherent quantum phase-slips which lift the ground state degeneracy in a Josephson junction ring, pierced by a magnetic flux of the magnitude equal to half of a flux quantum. The quantum phase-slip amplitude is sensitive to the normal mode structure of superconducting phase oscillations in the ring (Mooij-Schön modes). These, in turn, are affected by spatial inhomogeneities in the ring. We analyze the case of weak periodic modulations of the system parameters and calculate the corresponding modification of the quantum phase-slip amplitude.

References in corpus (5)

• Implementation of low-loss superinductances for quantum circuits
• Quantum fluctuations in ultranarrow superconducting nanowires
• Quantum phase slip phenomenon in ultra-narrow superconducting nanorings
• Sharp Superconductor-Insulator Transition in Short Wires
• Superconductor-Insulator Transition in disordered Josephson junction chains

Cited by in corpus (5)

• Superconductor-insulator transition in Josephson junction chains by quantum Monte-Carlo
• Phase Diffusion in Low-$E_J$ Josephson Junctions at milli-Kelvin Temperatures
• Effect of disorder on coherent quantum phase slips in Josephson junction chains
• Theoretical proposal for dual transformation between the Josephson effect and quantum phase slip in single junction systems and nanowires
• Mesoscopic electron transport and atomic gases, a review of Frank W. J. Hekking's scientific work