Jacquelin Luneau
Walther-Meissner-Institut, Technische Universität München
Quantum simulation of a topological insulator at high electric field
We consider two bosonic modes coupled to a two-level system. We can interpret this system as a quantum simulator of a single particle in a two dimensional lattice by considering the number of photons in each mode as a synthetic dimension [1,2]. With a suitable coupling between the modes and the qubit, we obtain a quantum optical simulation of a topological insulator at high electric field [2].
Motivated by these recent works, we study the fate of band topology at high electric fields. We show how the electric field hybridizes the edge modes with the bulk states. We describe this hybridization as an extension in energy of the spectral flow of edge modes [3].
[1] Deng et al., Science 378, 966–971 (2022)
[2] J. Luneau, B. Douçot, D. Carpentier, SciPost Phys. 17, 112 (2024).
[3] J. Luneau, T. Roscilde, B. Douçot, D. Carpentier, in preparation.
