Squeezed Coherent States of Motion for Ions Confined in Quadrupole and Octupole Ion Traps

摘要

Quasiclassical dynamics of trapped ions is characterized by applying the timedependent variational principle (TDVP) on coherent state orbits, in case ofquadrupole and octupole combined (Paul and Penning) and radiofrequency (RF)traps. A dequantization algorithm is proposed, by which the classical Hamilton(energy) function associated to the system results as the expectation value ofthe quantum Hamiltonian on squeezed coherent states. We develop such method andparticularize the quantum Hamiltonian for a combined and for a RF trap, withaxial symmetry and a RF anharmonic electric potential. We also build theclassical Hamiltonian functions for the particular traps we considered, andfind the classical equations of motion.