Correlated many-body noise and emergent $1/f$ behavior in an anharmonic fluctuator model

• URL: http://arxiv.org/abs/2105.00559v1
• Date: Sun, 2 May 2021 22:01:44 GMT
• Title: Correlated many-body noise and emergent $1/f$ behavior in an anharmonic fluctuator model
• Authors: P N Thomas Lloyd, Valentin Walther, Hossein Sadeghpour
• Abstract summary: Fluctuating electric fields emanating from surfaces are a primary source of decoherence in trapped ion qubits. Superradiant phonon-induced excitation exchange between adatoms can lead to a reduction of electric field noise at low temperatures.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Fluctuating electric fields emanating from surfaces are a primary source of decoherence in trapped ion qubits. Here, we show that superradiant phonon-induced excitation exchange between adatoms can lead to a reduction of electric field noise at low temperatures. We derive an exact mapping between the noise spectrum of $N$ fluctuators with $M$ vibrational levels to $N+M-1 \choose N$-1 two-level dipoles. We provide conditions for which the ubiquitous $1/f$ noise can emerge, even though the system is composed of only a single type of fluctuator, thus suggesting a new mechanism for the phenomenon.

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