That this shouldn’t be a hindrance was the point of an article published last year by IBM researchers where they demonstrated a speed-up of a Trotterized time evolution of a 2D transverse-field ...

Hastings and colleagues found that the 2D Ising model predicts the same statistics as those observed for the scale-invariant spatial correlations between trees in 2003–2004. They also confirmed that ...

Simulated low temperature (left) and high temperature (right) phase of a 2D Ising model, where blue points are spins pointing up, and the red points are spins pointing down. Notice that the spins ...

Dmitry Chelkak, Clément Hongler, Konstantin Izyurov, Conformal invariance of spin correlations in the planar Ising model, Annals of Mathematics, SECOND SERIES, Vol. 181, No. 3 (May, 2015), pp.

Indeed, Onsager found that the materials, which follow the Ising spin model, have a phase transition. However, despite the huge importance this theory has in the following development of the whole ...

In particular, the Ising model describes spins ("compass needles") constrained to point either up or down, perpendicular to the plane.

A simple mathematical model can account for lizard’s green-and-black pattern Tried-and-true Ising model can describe how scales color-switch as the lizard ages.

Say that a graph has persistent transition if the Ising model on the graph can exhibit a phase transition (nonuniqueness of Gibbs measures) in the presence of a nonzero external field. We show that ...

Combinatorial optimization problems are at the root of many industrial processes and solving them is key to a more sustainable and efficient future. Ising machines can solve certain combinatorial ...