Squeezed coherent states of motion for ions confined in quadrupole and octupole ion traps

Journal Article · Sun Jan 14 23:00:00 EST 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2017.11.004· OSTI ID:22848271

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) or 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 both combined and RF nonlinear traps, that exhibit axial symmetry. We also build the classical Hamiltonian functions for the particular traps we considered, and find the classical equations of motion.

• OSTI ID: 22848271
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 388; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
ANNIHILATION OPERATORS
AXIAL SYMMETRY
EIGENSTATES
EQUATIONS OF MOTION
EXPECTATION VALUE
HAMILTONIAN FUNCTION
HAMILTONIANS
IONS
NONLINEAR PROBLEMS
OCTUPOLES
QUADRUPOLES
RADIOWAVE RADIATION
TIME DEPENDENCE
TRAPPING
VARIATIONAL METHODS