Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An absolutely stable open time crystal   We show that locally-interacting, periodically-driven (Floquet) Hamiltonian
dynamics coupled to a Langevin bath support finite-temperature discrete time
crystals with an infinite auto-correlation time. The time crystalline order is
stable to arbitrary perturbations, including those that break the time
translation symmetry of the underlying drive. Our approach utilizes a general
mapping from probabilistic cellular automata (PCA) to open classical Floquet
systems. Applying this mapping to a variant of the Toom cellular automata,
which we dub the ``$\pi$-Toom PCA'', leads to a 2D Floquet Hamiltonian with a
finite-temperature period-doubling phase transition. We provide numerical
evidence for the existence of this transition, and analyze the statistics of
the finite temperature fluctuations. Finally, we discuss how general results
from the field of probabilistic cellular automata imply the existence of
discrete time crystals in all dimensions, $D \geq 1$.

5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
2
The categories of this paper are: math