Internship and thesis proposals
Analogue Majorana states in anti-Hermitian electrical circuits

Domaines
Condensed matter
Quantum Machines
Quantum information theory and quantum technologies
Topological materials, Quantum Transport, Cavity Quantum Electrodynamics

Type of internship
Expérimental et théorique
Description
Topolectronic circuits are fascinating devices that connect topology in condensed matter with electronics. Using only basic electronic components it is possible to conceive devices exhibiting a large variety of phenomena e.g. topologically protected edge states, high-order topology, hyperbolic lattices etc.. More recently, it has been shown in our group that anti-hermitian electrical circuits obey Schrödinger-type dynamics allowing the reproduction of time-dependent phenomena. This have been used to simulate a (1+1) dimensional anti-de-Sitter spacetime with a synthetic event-horizon using it's correspondence with a one dimensional tight-binding model. On this circuit, the trajectories of massless particles traveling towards the event-horizon were reproduced and thermalization effects were observed. Those results lead to new ways of describing voltage and current dynamics in electrical circuits using a quantum formalism allowing a new approaches to conceive and design electrical devices. In particularly, in has been observed that anti-hermitian circuit exhibit naturally Majorana-type excitation with an experimentally accessible amplitude and phase. This observation raise the question about the manipulation of those excitation and the possibility to simulate quantum algorithms using them.

Contact
Joseph Dufouleur
Laboratory : IFW Leibniz institute – Institute for Solid State Research -
Team : Quantum Transport Group
Team Website
/ Thesis :    Funding :