Quantisation of the elliptical Penning trap.pdf (1.33 MB)
Quantisation of the elliptical Penning trap
journal contribution
posted on 2023-06-10, 00:13 authored by Frances Crimin, Barry M. GarrawayBarry M. Garraway, Jose Verdu GalianaJose Verdu GalianaWe 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.
Funding
Quantum Microwave Sensor; G1693; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/N003675/1
History
Publication status
- Published
File Version
- Published version
Journal
Journal of Physics B: Atomic, Molecular and Optical PhysicsISSN
0953-4075Publisher
IOP PublishingExternal DOI
Issue
11Volume
54Page range
1-10Article number
a115501Pages
10.0Department affiliated with
- Physics and Astronomy Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2021-06-28First Open Access (FOA) Date
2021-06-28First Compliant Deposit (FCD) Date
2021-06-25Usage metrics
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