Observation of classical-quantum crossover of 1/f flux noise and its paramagnetic temperature dependence

Abstract

By analyzing the dissipative dynamics of a tunable gap flux qubit, we extract both sides of its two-sided environmental flux noise spectral density over a range of frequencies around $2k_{B}T/h\approx 1\mathrm{GHz}$, allowing for the observation of a classical-quantum crossover. Below the crossover point, the symmetric noise component follows a $1/f$ power law that matches the magnitude of the $1/f$ noise near $1\mathrm{Hz}$. The antisymmetric component displays a 1/T dependence below $100\mathrm{mK}$, providing dynamical evidence for a paramagnetic environment. Extrapolating the two-sided spectrum predicts the linewidth and reorganization energy of incoherent resonant tunneling between flux qubit wells.

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