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

Abstract

Quasiclassical dynamics of trapped ions is characterized by applying the time dependent variational principle (TDVP) on coherent state orbits, in case of quadrupole 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 of the quantum Hamiltonian on squeezed coherent states. We develop such method and particularize the quantum Hamiltonian for a combined and for a RF trap, with axial symmetry and a RF anharmonic electric potential. We also build the classical Hamiltonian functions for the particular traps we considered, and find the classical equations of motion.

References in corpus (4)

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• Modes of Oscillation in Radiofrequency Paul Traps
• Multipole Electrodynamic Ion Trap Geometries for Microparticle Confinement under Standard Ambient Temperature and Pressure Conditions
• On Close Relationship between Classical Time-Dependent Harmonic Oscillator and Non-Relativistic Quantum Mechanics in One Dimension

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• Investigations on Dynamical Stability in 3D Quadrupole Ion Traps
• Quasienergy operators and generalized squeezed states for systems of trapped ions
• Contributions to the study of time dependent oscillators in Paul traps. Semiclassical approach
• Uncertainty, von Neumann Entropy, and Squeezing in a Bipartite State of Two-Level Atoms