Localization and symmetry breaking in the quantum quasiperiodic ising glass

Citations of this article
Mendeley users who have this article in their library.


Quasiperiodic modulation can prevent isolated quantum systems from equilibrating by localizing their degrees of freedom. In this article, we show that such systems can exhibit dynamically stable long-range orders forbidden in equilibrium. Specifically, we show that the interplay of symmetry breaking and localization in the quasiperiodic quantum Ising chain produces a \emph{quasiperiodic Ising glass} stable at all energy densities. The glass order parameter vanishes with an essential singularity at the melting transition with no signatures in the equilibrium properties. The zero temperature phase diagram is also surprisingly rich, consisting of paramagnetic, ferromagnetic and quasiperiodically alternating ground state phases with extended, localized and critically delocalized low energy excitations. The system exhibits an unusual quantum Ising transition whose properties are intermediate between those of the clean and infinite randomness Ising transitions. Many of these results follow from a geometric generalization of the Aubry-Andr\'e duality which we develop. The quasiperiodic Ising glass may be realized in near term quantum optical experiments.




Chandran, A., & Laumann, C. R. (2017). Localization and symmetry breaking in the quantum quasiperiodic ising glass. Physical Review X, 7(3). https://doi.org/10.1103/PhysRevX.7.031061

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free