Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of Fractal Order and Phase Transition with Rydberg Atoms   We propose the construction of a many-body phase of matter with fractal
structure using arrays of Rydberg atoms. The degenerate low energy excited
states of this phase form a self-similar fractal structure. This phase is
analogous to the so-called "type-II fracton topological states". The main
challenge in realizing fracton-like models in standard condensed matter
platforms is the creation of multi-spin interactions, since realistic systems
are typically dominated by two-body interactions. In this work, we demonstrate
that the Van der Waals interaction and experimental tunability of Rydberg-based
platforms enable the simulation of exotic phases of matter with fractal
structures, and the study of a quantum phase transition involving a fractal
ordered phase.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg