Non-Gaussian Noise in Quantum Spin Glasses and Interacting Two-Level Systems

2001/06/14 by A. K. Nguyen, S. M. Girvin · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum many-body systems #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevlett.87.127205

4 pages, 3 figures

arxiv created 2001/06/14 · openalex publication_date 2001/08/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 noninteracting 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.

Citations

• Lectures on Phase Transitions and the Renormalization Group
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• On the product of semi-groups of operators
• Quantum-state engineering with Josephson-junction devices

Cited by

• 1/f flux noise in low-Tc SQUIDs due to superparamagnetic phase transitions in defect clusters