Trapped-ion force sensing
A force displaces a trapped ion's quantized motion.
$$H_I=\hbar g(a+a^\dagger)\sigma_z$$
Physical intuition
A force displaces a trapped ion's quantized motion.
Deep dive: physical mechanism
State-dependent forces entangle internal spin and motion; a closing phase-space trajectory maps displacement to a measurable spin phase.
What is measured experimentally?
Measure spin populations as force amplitude is swept.
Assumptions, noise and limitations
Heating, trap-frequency drift and motional-mode coupling can bias results.
Research and simulation exercise
Model a driven oscillator with spin-dependent displacement.
Connect the ideas
Explore the chapter overview, learning path, and references.