PIRSA:19100059

Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically driven systems

Else, D. (2019). Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically driven systems. Perimeter Institute. https://pirsa.org/19100059

Else, Dominic. Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically driven systems. Perimeter Institute, Oct. 08, 2019, https://pirsa.org/19100059 

          @misc{ pirsa_PIRSA:19100059,
            doi = {10.48660/19100059},
            url = {https://pirsa.org/19100059},
            author = {Else, Dominic},
            keywords = {Condensed Matter},
            language = {en},
            title = {Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically driven systems},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {oct},
            note = {PIRSA:19100059 see, \url{https://pirsa.org}}
          }

Dominic Else Perimeter Institute for Theoretical Physics

DOI 10.48660/19100059
Collection
Talk Type Scientific Series
Subject

Abstract

The discrete time-translation symmetry of a periodically-driven (Floquet) system allows for the existence of novel, nonequilibrium interacting phases of matter. A well-known example is the discrete time crystal, a phase characterized by the spontaneous breaking of this time-translation symmetry. In this talk, I will show that the presence of *multiple* time-translational symmetries, realized by quasiperiodically driving a system with two or more incommensurate frequencies, leads to a panoply of novel non-equilibrium phases of matter, both spontaneous symmetry breaking ("discrete time quasi-crystals") and topological. In order to stabilize such phases, I will outline rigorous mathematical results establishing slow heating of systems driven quasiperiodically at high frequencies. As a byproduct, I will introduce the notion of many-body localization (MBL) in quasiperiodically driven systems.