Amplifying a Zeptonewton Force with a Single-Ion Nonlinear Oscillator

Area of Science:

• Atomic Physics
• Nonlinear Dynamics
• Mechanical Resonators

Background:

• Nonlinear mechanical resonators exhibit complex dynamics crucial for science and technology.
• Trapped particles offer precise control over mechanical motion.

Purpose of the Study:

• To present a general strategy for generating mechanical nonlinearities in trapped particles.
• To explore nonlinear oscillation, bifurcation, and hysteresis in a trapped ion system.
• To demonstrate enhanced signal detection using nonlinear effects.

Main Methods:

• Utilizing a funnel-shaped potential and transverse driving to induce mechanical nonlinearity.
• Employing a trapped ion platform (single calcium ion) for experimental study.
• Applying zeptonewton-magnitude harmonic forces to probe system response.

Main Results:

• Successfully generated mechanical nonlinearities in a trapped ion.
• Observed nonlinear oscillation, bifurcation, and hysteresis phenomena.
• Achieved a 20-fold signal enhancement via vibrational resonance.

Conclusions:

• The study demonstrates a novel method for creating nonlinear mechanical resonators with trapped particles.
• The findings highlight the potential for enhanced precision in force sensing.
• This work paves the way for exploring nonlinear mechanics in the quantum regime.