Driven One-Particle Quantum Cyclotron

Abstract

A quantum cyclotron is one trapped electron or positron that occupies only its lowest cyclotron and spin states. A master equation is solved for a driven quantum cyclotron with a QND (quantum nondemolition) coupling to a detection oscillator in thermal equilibrium - the first quantum calculation for this coupled and open system. The predicted rate of cyclotron and spin quantum jumps as a function of drive frequency, for a small coupling between the detection motion and its thermal reservoir, differs sharply from what has been predicted and used for past measurements. The calculation suggests a ten times more precise electron magnetic moment measurement is possible, as needed to investigate current differences between the most precise prediction of the standard model of particle physics, and the most accurate measurement of a property of an elementary particle.

arXiv comment22 pages, 20 figures

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• Switchable Damping for a One-Particle Oscillator

Cited by in corpus (10)

• Measurement of the Electron Magnetic Moment
• Towards an independent determination of muon g-2 from muonium spectroscopy
• Circumventing Detector Backaction on a Quantum Cyclotron
• Foldy-Wouthuysen Transformation in Strong Magnetic Fields and Relativistic Corrections for Quantum Cyclotron Energy Levels
• Switchable Damping for a One-Particle Oscillator
• Quantum Logic Spectroscopy of an Electron and Positron for Precise Tests of the Standard Model
• Detecting quantum vacuum fluctuations of the electromagnetic field
• Radiative Energy and Mass Shifts of Quantum Cyclotron States
• Quantum Calculations of the Cavity Shift in Electron Magnetic Moment Measurements
• Flat Bundles on Function Manifolds and Evolution Equations in Quantum Field Theories