Levitons as moving spin-qubits in atomic-scale nanostructures

We investigate the excitation and dynamics of few-particle states in Fermi-Hubbard systems such as atomically-thin nanostructures.

By applying suitable voltage pulses, one can create electronic excitations with minimal noise and favorable propagation properties. These may serve as a quantum bus to transfer quantum information on-chip, enabling long-range coupling of qubits and the construction of quantum networks.

The summer project is part of a larger effort to study the properties and dynamics of such excitations in atomic-scale nanostructures such as graphene or transition-metal-dichalcogenide nanoribbons.

The work will combine analytical investigations and numerical computations (using python) to solve the time-dependent Schrödinger equation in tight-binding and mean-field Hubbard systems. The goal is to characterize the single-particle excitations ("levitons") in terms of charge- and current noise, indistinguishability, purity, and entanglement and to study the influence of level structure, edge geometry, or disorder on the quality of the excitations and their interaction with each other and with localized spins.

The specific question will be decided upon together with the student at the beginning of the project.