@article{else2016pre-thermal,
author = {Else, Dominic V and Bauer, Bela and Nayak, Dr. Chetan},
title = {Pre-thermal Time Crystals and Floquet topological phases without disorder},
year = {2016},
month = {July},
abstract = {We show that both discrete and continuous time-translation symmetry can be broken in the prethermal regime of quantum systems that eventually thermalize. We prove a theorem that states that such “time crystals” persist until times that are nearly exponentially-long in the couplings and, in driven systems, the drive frequency. After this thermalization time, the time-translational symmetry breaking oscillations fade away. However, during the time interval prior to that, a time crystal can exist even without disorder, and its properties are encapsulated by a field theory analogous to that of equilibrium spontaneous symmetry-breaking phases. When coupled to a cold bath, the pre-thermal regime could potentially persist to infinite time. Similar conclusions hold for topological phases of driven systems.},
publisher = {Cornell Unviersity Library},
url = {http://approjects.co.za/?big=en-us/research/publication/pre-thermal-time-crystals-floquet-topological-phases-without-disorder/},
}