Southwest Quantum Information and Technology

Localization and topology in Floquet systems with quantized drive

Presenting Author: Michael Kolodrubetz, University of Texas at Dallas
Contributing Author(s): Nathan Ng, Saeed Rahmanian, Sebastian Wenderoth, Rajagopala Reddy Seelam, Eran Rabani, Hans-Dieter Meyer, Michael Thoss

Time-periodic (Floquet) drive has become a powerful tool to engineer phases of matter, both in equilibrium and far from equilibrium. In this talk, I show that treating drive photons as quantized degrees of freedom, as in cavity QED, leads to interesting phases of coupled light and matter. This is non-trivial even for such “basic” phenomena as many body localization [Ng and MHK, PRL 122, 240402 (2019)], where the localizing interactions compete against global coupling to the quantized cavity mode. I will show that such a mapping is fundamental for certain topological phases of matter, such as the Floquet-Thouless energy pump [MHK et al, PRL 120, 150601 (2018)], where topological pumping naturally occurs by a quantized backaction on the drive. These phases may be realizable experimentally in many body cavity QED and superconducting circuit QED.

Read this article online: https://arxiv.org/abs/2010.11485, https://arxiv.org/abs/1809.02606, https://arxiv.org/abs/2008.12796

(Session 5 : Thursday from 12:00pm-2:00 pm)