Embodiments relate to a sensor system configured to detect physical rotation, entire or relative, of one or more objects and/or their environment and/or proximity of a magnetic field, by measuring the degree of localization of a medium trapped in a ring-shaped artificial lattice. The lattice structure can be configured to comprise of lattice sites distributed with a lattice period around an azimuth of a closed ring. The site depths of the plurality of lattice sites can be configured to be modulated with a modulation period different from the lattice period to affect the onsite energies of each lattice site and the eigenstates of the system. Physical rotation of the sensor and/or the proximity of magnetic field will alter the localization properties so as to cause the degree of localization of the medium to change (e.g., the medium becomes more confined in space or more spread out in space).