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Quantisation of the elliptical Penning trap

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journal contribution
posted on 2023-06-10, 00:13 authored by Frances Crimin, Barry M. GarrawayBarry M. Garraway, Jose Verdu GalianaJose Verdu Galiana
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.

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 Physics

ISSN

0953-4075

Publisher

IOP Publishing

Issue

11

Volume

54

Page range

1-10

Article number

a115501

Pages

10.0

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2021-06-28

First Open Access (FOA) Date

2021-06-28

First Compliant Deposit (FCD) Date

2021-06-25

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