Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical Discrete Time Crystals   The spontaneous breaking of time-translation symmetry in periodically driven
quantum systems leads to a new phase of matter: discrete time crystals (DTC).
This phase exhibits collective subharmonic oscillations that depend upon an
interplay of non-equilibrium driving, many-body interactions, and the breakdown
of ergodicity. However, subharmonic responses are also a well-known feature of
classical dynamical systems ranging from predator-prey models to Faraday waves
and AC-driven charge density waves. This raises the question of whether these
classical phenomena display the same rigidity characteristic of a quantum DTC.
In this work, we explore this question in the context of periodically driven
Hamiltonian dynamics coupled to a finite-temperature bath, which provides both
friction and, crucially, noise. Focusing on one-dimensional chains, where in
equilibrium any transition would be forbidden at finite temperature, we provide
evidence that the combination of noise and interactions drives a sharp,
first-order dynamical phase transition between a discrete time-translation
invariant phase and an activated classical discrete time crystal (CDTC) in
which time-translation symmetry is broken out to exponentially-long time
scales. Power-law correlations are present along a first-order line which
terminates at a critical point. We analyze the transition by mapping it to the
locked-to-sliding transition of a DC-driven charge density wave. Our work
points to a classical limit for quantum time crystals, and raises several
intriguing questions concerning the non-equilibrium universality class of the
CDTC critical point.

17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg