Microwave spectroscopy of a weakly-pinned charge density wave in a superinductor

Abstract

A chain of small Josephson junctions (aka superinductor) emerged recently as a high-inductance, low-loss element of superconducting quantum devices. We notice that the intrinsic parameters of a typical superinductor in fact place it into the Bose glass universality class for which the propagation of waves in a sufficiently long chain is hindered by pinning. Its weakness provides for a broad crossover from the spectrum of well-resolved plasmon standing waves at high frequencies to the low-frequency excitation spectrum of a pinned charge density wave. We relate the scattering amplitude of microwave photons reflected off a superinductor to the dynamics of a Bose glass. The dynamics at long and short scales compared to the Larkin pinning length determines the low- and high-frequency asymptotes of the reflection amplitude.

arXiv comment6+8 pages, 2+3 figures

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• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Superconductivity from a melted insulator
• Inelastic decay from integrability
• Theory of coherent phase modes in insulating Josephson junction arrays
• Long distance coherence of Majorana wires
• Charge quantization and detector resolution
• Quantum Electronic Circuits for Multicritical Ising Models
• Limitations of Caldeira-Leggett model for description of phase transitions in superconducting circuits
• Transmission of waves through a pinned elastic medium
• Plasmon localization and relaxation, and thermal transport in one-dimensional conductors
• Quantum system dynamics with a weakly nonlinear Josephson junction bath
• Nonequilibrium plasmon liquid in a Josephson junction chain
• Quantum simulation of the microscopic to macroscopic crossover using superconducting quantum impurities