Single-ion nonlinear mechanical oscillator

2010/12/16 by N. Akerman, Shlomi Kotler, Yinnon Glickman +3 · 1 voice · 1 citation
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Mechanical and Optical Resonators #Quantum Information and Cryptography

paper · doi:10.1103/physreva.82.061402

openalex publication_date 2010/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the steady-state motion of a single trapped ion oscillator driven to the nonlinear regime. Damping is achieved via Doppler laser cooling. The ion motion is found to be well described by the Duffing oscillator model with an additional nonlinear damping term. We demonstrate here the unique ability of tuning both the linear as well as the nonlinear damping coefficients by controlling the laser-cooling parameters. Our observations pave the way for the investigation of nonlinear dynamics on the quantum-to-classical interface as well as mechanical noise squeezing in laser-cooling dynamics.

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Discussions

• Objective I would like to model the following Duffing equation using Runge-Kutta 4 algorithm : $$ \ddot{x} + 2\mu\dot{x} + \gamma\dot{x}^3 + \omega_0^2x + \alpha x^3 = k\cos{\omega t} $$ I am using an [stackexchange, 1 points]

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