Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Space-time renormalization in phase transition dynamics   When a system is driven across a quantum critical point at a constant rate
its evolution must become non-adiabatic as the relaxation time $\tau$ diverges
at the critical point. According to the Kibble-Zurek mechanism (KZM), the
emerging post-transition excited state is characterized by a finite correlation
length $\hat\xi$ set at the time $\hat t=\hat \tau$ when the critical slowing
down makes it impossible for the system to relax to the equilibrium defined by
changing parameters. This observation naturally suggests a dynamical scaling
similar to renormalization familiar from the equilibrium critical phenomena. We
provide evidence for such KZM-inspired spatiotemporal scaling by investigating
an exact solution of the transverse field quantum Ising chain in the
thermodynamic limit.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc