A trapped ion's motional mode is prepared in the coherent state with (real).
PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Quantum dynamics and its formulations · Quantum dynamics and its formulations
The Structure of Quantum Mechanics, Ch Coherent states, Ehrenfest's theorem and the classical limit
Problem
A trapped ion's motional mode is prepared in the coherent state ∣α⟩ with α=1.5 (real).
((a)) Find the mean phonon number nˉ and the number spread Δn.
((b)) Find the probability of measuring exactly n=2 phonons.