Towards Motion Sensing Using Asymmetric Coupled Quantum Dots

Quantum sensing and metrology are one of the most broad and advanced areas of quantum information and technology. We investigate the possibility of using coupled quantum dots for motion detection. The system consists of two coupled vertically-stacked asymmetric quantum dots in the presence of a tunable electric field. By measuring the system’s excited energy levels at varying electric fields, the distance between the dots can be extracted from photoluminescence spectral patterns. This is modeled by an inverse eigenvalue difference problem associated with the quantum Hamiltonian. We develop algebraic and computational methods along with a warm-starting strategy to solve this problem. Examples demonstrate the accuracy and sensing resolution of this approach.