4 papers
Spin models from nonlinear cellular automata
Konstantinos Sfairopoulos, Luke Causer, Jamie F. Mair +2
We study classical and quantum spin models derived from one-dimensional cellular automata (CA) with nonlinear update rules, focusing on rules 30, 54 and 201. We argue that the clas…
Cellular automata in dimensions and ground states of spin models in dimensions
Konstantinos Sfairopoulos, Luke Causer, Jamie F. Mair +1
We show how the trajectories of -dimensional cellular automata (CA) can be used to determine the ground states of -dimensional classical spin models, and we characterise…
Boundary conditions dependence of the phase transition in the quantum Newman-Moore model
Konstantinos Sfairopoulos, Luke Causer, Jamie F. Mair +1
We study the triangular plaquette model (TPM, also known as the Newman-Moore model) in the presence of a transverse magnetic field on a lattice with periodic boundaries in both spa…
Multicriticality in stochastic dynamics protected by self-duality
Konstantinos Sfairopoulos, Luke Causer, Juan P. Garrahan
We study the dynamical large deviations (LD) of a class of one-dimensional kinetically constrained models whose (tilted) generators can be mapped into themselves via duality transf…