Rotation sensing and magnetometry using localization on a ring shaped lattice

A method for operating a sensor system, the sensor system comprising:

• an array of quantum wells arranged in a circular array, with gate voltages of the quantum wells modulated, to generate a ring-shaped artificial lattice structure with modulated site depths;
• and a detection unit including a processor configured to measure distribution of electric current output from the artificial lattice structure, the method comprising:
• determining magnitude and direction of a magnetic field from a resulting pattern of localization in a distribution of the strengths of electric currents after the system is subject to the magnetic field for a duration by causing the processor to:
• a) establish a prior distribution for a full range of possible magnitudes and orientations of magnetic field;
• b) establish a prior distribution for a full range of possible degrees of localization;
• c) establish a probability for observing or measuring a degree of localization conditioned upon a magnitude and orientation of magnetic field by propagating the medium for the duration of time subject to the magnitude and orientation of magnetic field;
• wherein:
• steps c) is repeated for different magnitudes and directions of magnetic fields covering the full range established in a), at intervals that provide predetermined levels for precision and accuracy;
• d) determine a magnitude and orientation of an unknown subsequent magnetic field of interest based on the observed or measured degree of localization after a duration of time evolution from a multiplicative product of the established prior distribution from step a) and the established conditional probability from step c), normalized by the prior distribution from step b), wherein the degree of localization is that of a distribution of the strengths of the electric currents detected from the individual quantum wells that form the artificial lattice structure.