Devil's staircases without particle-hole symmetry

Abstract

We present and analyze spin models with long-range interactions whose ground state features a so-called devil's staircase and where plateaus of the staircase are accessed by varying two-body interactions. This is in contrast to the canonical devil's staircase, for example, occurring in the one-dimensional Ising model with long-range interactions, where typically a single-body chemical potential is varied to scan through the plateaus. These systems, moreover, typically feature a particle-hole symmetry which trivially connects the hole part of the staircase (filling fraction f 1/2) to its particle part (f 1/2). Such symmetry is absent in our models and hence the particle sector and the hole sector can be separately controlled, resulting in exotic hybrid staircases.

Superradiance-induced multistability in one-dimensional driven Rydberg lattice gases

“…Note that the vdW interaction decreases rapidly with spin separations (∝ 1/a 6 |j − k| 6 ). In the coherent regime, the classical groundstate forms crystalline structures in the thermodynamic limit [52][53][54][55]. The Rabi coupling, on the other hand, could melt the crystalline phase [56].…”