RT Journal Article
SR Electronic
T1 Simulating complex quantum networks with time crystals
JF Science Advances
JO Sci Adv
FD American Association for the Advancement of Science
SP eaay8892
DO 10.1126/sciadv.aay8892
VO 6
IS 42
A1 Estarellas, M. P.
A1 Osada, T.
A1 Bastidas, V. M.
A1 Renoust, B.
A1 Sanaka, K.
A1 Munro, W. J.
A1 Nemoto, K.
YR 2020
UL http://advances.sciencemag.org/content/6/42/eaay8892.abstract
AB Crystals arise as the result of the breaking of a spatial translation symmetry. Similarly, translation symmetries can also be broken in time so that discrete time crystals appear. Here, we introduce a method to describe, characterize, and explore the physical phenomena related to this phase of matter using tools from graph theory. The analysis of the graphs allows to visualizing time-crystalline order and to analyze features of the quantum system. For example, we explore in detail the melting process of a minimal model of a period-2 discrete time crystal and describe it in terms of the evolution of the associated graph structure. We show that during the melting process, the network evolution exhibits an emergent preferential attachment mechanism, directly associated with the existence of scale-free networks. Thus, our strategy allows us to propose a previously unexplored far-reaching application of time crystals as a quantum simulator of complex quantum networks.