Nonlinear stochastic and quantum motion from Coulomb forces

Fuente: arXiv
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Main Authors: Ornigotti, Luca, Moore, Darren W., Filip, Radim
Format: Preprint
Published: 2025
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author Ornigotti, Luca
Moore, Darren W.
Filip, Radim
author_facet Ornigotti, Luca
Moore, Darren W.
Filip, Radim
contents Controllable nonlinear quantum interactions are a much sought after target for modern quantum technologies. They are typically difficult and costly to engineer for bespoke purposes. However controllable nonlinearities may have always been in reach via the natural and fundamental forces between quantum particles. The Coulomb interaction between charged particles is the simplest example. We show that after eliminating the harmonic part of the Coulomb force by an auxiliary linear force, the remaining reciprocal nonlinear part results in a directly observable non-reciprocal nonlinear effect: increase of the signal-to-noise ratio (SNR) of the coherent displacement of one particle, driven by the position noise, or uncertainty in quantum regime, in another particle. This essential evidence of nonlinear forces is present across large ranges of trap frequency and mass scales, as well as visible in both stochastic and quantum regimes.
format Preprint
id arxiv_https___arxiv_org_abs_2511_18345
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonlinear stochastic and quantum motion from Coulomb forces
Ornigotti, Luca
Moore, Darren W.
Filip, Radim
Quantum Physics
Controllable nonlinear quantum interactions are a much sought after target for modern quantum technologies. They are typically difficult and costly to engineer for bespoke purposes. However controllable nonlinearities may have always been in reach via the natural and fundamental forces between quantum particles. The Coulomb interaction between charged particles is the simplest example. We show that after eliminating the harmonic part of the Coulomb force by an auxiliary linear force, the remaining reciprocal nonlinear part results in a directly observable non-reciprocal nonlinear effect: increase of the signal-to-noise ratio (SNR) of the coherent displacement of one particle, driven by the position noise, or uncertainty in quantum regime, in another particle. This essential evidence of nonlinear forces is present across large ranges of trap frequency and mass scales, as well as visible in both stochastic and quantum regimes.
title Nonlinear stochastic and quantum motion from Coulomb forces
topic Quantum Physics
url https://arxiv.org/abs/2511.18345