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TT: Fachverband Tiefe Temperaturen
TT 3: Topology: Quantum Hall Systems
TT 3.7: Talk
Monday, March 18, 2024, 11:30–11:45, H 2053
Quantum chaos in a quantum optical simulation of a topological insulator — •Jacquelin Luneau1,2, Tommaso Roscilde2, Benoit Douçot3, and David Carpentier2 — 1Technical University of Munich, TUM School of Natural Sciences, Physics Department, 85748 Garching, Germany — 2ENSL, CNRS, Laboratoire de Physique, F-69342 Lyon, France — 3LPTHE, UMR 7589, CNRS and Sorbonne Université, 75252 Paris Cedex 05, France
We consider a simple setup of two bosonic modes strongly coupled to a two-level system. In a regime of topological coupling, the dynamics in the space of number of quanta simulates the dynamics of a particle in a Chern insulator submitted to a weak electric field [1]. This analogy enables us to group the eigenstates of the system in three distinct families lying at the same energy scales. The first two families are associated to the bulk of the topologically trivial and non-trivial domain, while the last family corresponds to the edge domain. The family associated to a non-trivial topology is chaotic, while the one associated to a trivial topology is not chaotic. We show that the quantum signatures of chaos of the topological family of eigenstates are non-standard, corresponding to a system at the limit of the domain of application of Random Matrix Theory [2].
[1] J. Luneau, B. Douçot, D. Carpentier, arXiv:2211.13502 (2022).
[2] J. Luneau, T. Roscilde, B. Douçot, D. Carpentier, to be submitted.
Keywords: Topological pumping; Quantum chaos; Qubit; Quantum cavity