Atypical eigenstates in the form of quantum scars and fragmentation of Hilbert space due to
conservation laws provide obstructions to thermalization in the absence of disorder. In …

The combination of topology and quantum criticality can give rise to an exotic mix of
counterintuitive effects. Here, we show that unexpected topological properties take place in …

We introduce a method to efficiently study the dynamical properties of many-body localized
systems in the regime of strong disorder and weak interactions. Our method reproduces …

Higher-order topological crystalline phases in low-dimensional interacting quantum systems
represent a challenging and largely unexplored research topic. Here, we derive a …

We introduce a multi-parameter deformation of the Fredkin spin $1/2$ chain whose ground
state is a weighted superposition of Dyck paths, depending on a set of parameters ti along …

We investigate ground-and excited-state properties of the deformed Fredkin spin chain
proposed by Salberger, Zhang, Klich, Korepin, and the authors. This model is a one …

Investigating translationally invariant qudit spin chains with a low local dimension, we ask
what is the best possible tradeoff between the scaling of the entanglement entropy of a large …

Deconfined quantum critical points are exotic transition points not predicted by the Landau-
Ginzburg-Wilson symmetry-breaking paradigm. They are associated to a one-point gap …

We show that the interplay between antiferromagnetic interaction and hole motion gives rise
to a topological superconducting phase. This is captured by the one dimensional anisotropic …

We propose a frustration-free model for the Moore-Read quantum Hall state on sufficiently
thin cylinders with circumferences≲ 7 magnetic lengths. While the Moore-Read Hamiltonian …