Open AccessQuantisation of the elliptical Penning trap
Author(s) -
Frances Crimin,
Barry M. Garraway,
J. Verdú
Publication year - 2021
Publication title -
journal of physics. b, atomic molecular and optical physics/journal of physics. b, atomic, molecular and optical physics
Language(s) - English
Resource type - Journals
eISSN - 1361-6455
pISSN - 0953-4075
DOI - 10.1088/1361-6455/abfeda
Subject(s) - physics , penning trap , diabatic , adiabatic process , trapping , atomic physics , quantum , trap (plumbing) , magnetic field , quantum mechanics , electron , meteorology , ecology , biology
We present the quantum theory of the elliptical Penning trap, i.e. the general case where the cylindrical symmetry of the electrostatic trapping potential around the trapping magnetic field axis is broken. The theory applies to both slightly and highly elliptical traps, where it is shown that the difference between the quantum states of particles in these traps corresponds to a variation of the degree of squeezing of their motional modes in the xy -plane. In a trap with tunable ellipticity, such as the Geonium Ghip planar Penning trap, it follows that control of the ellipticity via the trapping voltages enables squeezing of the quantum states of the particle. We discuss the adiabatic preparation of such squeezed states, which follows naturally from the appearance of an avoided crossing between the diabatic levels of the coupled motional states of the particle.