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Superconducting Qubits

Dissipationless dynamics of randomly coupled spins at high temperatures

arXiv
Authors: Lara Faoro, Lev Ioffe, Alexei Kitaev

Year

2011

Paper ID

29165

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

We develop a technique to compute the high-frequency asymptotics of spin correlators in weakly interacting disordered spin systems. We show that the dynamical spin correlator decreases exponentially at high frequencies, < SS>_ωsimexp\(-τ*ω\) and compute the characteristic time τ* of this dependence. In a typical random configuration, some fraction of spins form strongly coupled pairs, which behave as two-level systems. Their switching dynamics is driven by the high-frequency noise from the surrounding spins, resulting in low-frequency 1/f noise in the magnetic susceptibility and other physical quantities. We discuss application of these results to the problem of susceptibility and flux noise in superconducting circuits at mK temperatures.

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  • This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
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  • We develop a technique to compute the high-frequency asymptotics of spin correlators in weakly interacting disordered spin systems.

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