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The squeezing of a Ge planar quantum dot enhances the Rabi frequency ofelectric dipole spin resonance by several orders of magnitude due to a strongDirect Rashba spin-orbit interaction in such geometries (Bosco et al 2021 Phys.Rev. B 104 115425). We investigate the geometric effect of an elliptical(squeezed) confinement and its interplay with the polarization of driving fieldin determining the Rabi frequency of a heavy-hole qubit in a planar Ge quantumdot. To calculate the Rabi frequency, we consider only the p-linear SOIs viz.electron-like Rashba, hole-like Rashba and hole-like Dresselhaus which areclaimed to be the dominant ones by recent studies on planar Geheterostructures. We derive approximate analytical expressions of the Rabifrequency using a Schrieffer-Wolff transformation for small SOI and drivingstrengths. Firstly, for an out-of-plane magnetic field with magnitude B, we getan operating region with respect to B, squeezing and polarization parameterswhere the qubit can be operated to obtain 'clean' Rabi flips. On and close tothe boundaries of the region, the higher orbital levels strongly interfere withthe two-level qubit subspace and destroy the Rabi oscillations, thereby puttinga limitation on squeezing of the confinement. The Rabi frequency showsdifferent behaviour for electron-like and hole-like Rashba SOIs. It vanishesfor right (left) circular polarization in presence of purely electron-like(hole-like) Rashba SOI in a circular confinement. For both in- and out-of-planemagnetic fields, higher Rabi frequencies are achieved for squeezedconfigurations when the ellipses of polarization and the confinementequipotential have their major axes aligned but with different eccentricities.We also deduce a simple formula to calculate the effective heavy hole mass bymeasuring the Rabi frequencies using this setup.

Role of anisotropic confining potential and elliptical driving in dynamics of a Ge hole qubit