Dante Kennes, Professor, Institute for Theory of Statistical Physics, RWTH Aachen University

戴小英 研究员

Twisting, Driving and Cavity Engineering of Quantum Materials

11月6日（周五）10:30-11:30，南楼714

Twisting two-dimensional layers, driving matter with light and coupling it to optical cavities provide complementary routes to control quantum materials. They also pose demanding computational problems, as collective behavior emerges across widely separated spatial, temporal and energy scales.

In this talk, I will discuss three directions in our research and their connections to computational mathematics. First, I will introduce twisted materials as tunable quantum simulators [1], focusing on our contributions to twisted GeSe and WSe₂. These examples illustrate the emergence of quasi-one-dimensional physics and the competition between magnetic order and unconventional superconductivity. Next, I will introduce nonequilibrium functional renormalization group methods [2] and discuss our ongoing work using quantics tensor trains to compress frequency- and momentum-dependent interaction vertices. Finally, I will examine cavity engineering through explicit electron–photon and phonon-polariton models [3], addressing how quantum light modifies transport, effective interactions and magnetic fluctuations. Throughout, I will emphasize the mathematical challenges shared by these approaches, including multiscale eigenvalue problems, controlled model reduction and adaptive tensor approximation.

Review references:

1.  Twisting: D. M. Kennes et al., “Moiré heterostructures as a condensed-matter quantum simulator,” Nature Physics, 17, 155–163 (2021). [doi:10.1038/s41567-020-01154-3](https://doi.org/10.1038/s41567-020-01154-3).

2. Nonequilibrium methods: G. Camacho, C. Klöckner, D. M. Kennes and C. Karrasch, “Review of recent developments of the functional renormalization group for systems out of equilibrium,” European Physical Journal B,95, 195 (2022). [doi:10.1140/epjb/s10051-022-00445-3](https://doi.org/10.1140/epjb/s10051-022-00445-3).