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Non-gaussian Noise in Quantum Spin Glasses and Interacting Two-level Systems

A. K. Nguyen·S. M. Girvin
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Abstract

We study a general model for non-gaussian $1/f$ noise based on an infinite range quantum Ising spin system in the paramagnetic state, or equivalently, interacting two-level classical fluctuators. We identify a dilatation interaction term in the dynamics which survives the thermodynamic limit and circumvents the central limit theorem to produce non-gaussian noise even when the equilibrium distribution is that of {\em non-interacting} spins. The resulting second spectrum (`noise of the noise') itself has a universal $1/f$ form which we analyze within a dynamical mean field approximation.

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A. K. Nguyen, S. M. Girvin. 2001-06-14. Non-gaussian Noise in Quantum Spin Glasses and Interacting Two-level Systems. https://doi.org/10.1103/physrevlett.87.127205

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