### ITAMP Fellow | Harvard University

Long-Range Prethermal Phases of Nonequilibrium Matter | Francisco Machado

# Long-Range Prethermal Phases of Nonequilibrium Matter

Francisco Machado, Dominic V. Else, Gregory D. Kahanamoku-Meyer, Chetan Nayak, Norman Y. Yao
PRX (2020)
arXiv:1908.07530

#### Abstract

We prove the existence of non-equilibrium phases of matter in the prethermal regime of periodically-driven, long-range interacting systems, with power-law exponent $\alpha > d$, where $d$ is the dimensionality of the system. In this context, we predict the existence of a disorder-free, prethermal discrete time crystal in one dimension – a phase strictly forbidden in the absence of long-range interactions. Finally, using a combination of analytic and numerical methods, we highlight key experimentally observable differences between such a prethermal time crystal and its many-body localized counterpart.