Floquet quantum criticality
APA
Berdanier, W. (2019). Floquet quantum criticality. Perimeter Institute. https://pirsa.org/19110128
MLA
Berdanier, Will. Floquet quantum criticality. Perimeter Institute, Nov. 21, 2019, https://pirsa.org/19110128
BibTex
@misc{ pirsa_PIRSA:19110128, doi = {10.48660/19110128}, url = {https://pirsa.org/19110128}, author = {Berdanier, Will}, keywords = {Condensed Matter}, language = {en}, title = {Floquet quantum criticality}, publisher = {Perimeter Institute}, year = {2019}, month = {nov}, note = {PIRSA:19110128 see, \url{https://pirsa.org}} }
It has recently been shown that quenched randomness, via the phenomenon of many-body localization, can stabilize dynamical phases of matter in periodically driven (Floquet) systems, with one example being discrete time crystals. This raises the question: what is the nature of the transitions between these Floquet many-body-localized phases, and how do they differ from equilibrium? We argue that such transitions are generically controlled by infinite randomness fixed points. By introducing a real-space renormalization group procedure for Floquet systems, asymptotically exact in the strong-disorder limit, we characterize the criticality of the periodically driven interacting quantum Ising model, finding forms of (multi-)criticality novel to the Floquet setting. We validate our analysis via numerical simulations of free-fermion models sufficient to capture the critical physics.