Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium absorbing state phase transitions in discrete-time
  quantum dynamics   We introduce a discrete-time quantum dynamics on a two-dimensional lattice
that describes the evolution of a $1+1$-dimensional spin system. The underlying
quantum map is constructed such that the reduced state at each time step is
separable. We show that for long times this state becomes stationary and
displays a continuous phase transition in the density of excited spins. This
phenomenon can be understood through a connection to the so-called
Domany-Kinzel automaton, which implements a classical non-equilibrium process
that features a transition to an absorbing state. Near the transition
density-density correlations become long-ranged, but interestingly the same is
the case for quantum correlations despite the separability of the stationary
state. We quantify quantum correlations through the local quantum uncertainty
and show that in some cases they may be determined experimentally solely by
measuring expectation values of classical observables. This work is inspired by
recent experimental progress in the realization of Rydberg lattice quantum
simulators, which - in a rather natural way - permit the realization of
conditional quantum gates underlying the discrete-time dynamics discussed here.

20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph