Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measurement-induced dynamics of many-body systems at quantum criticality   We consider a dynamic protocol for quantum many-body systems, which enables
to study the interplay between unitary Hamiltonian driving and random local
projective measurements. While the unitary dynamics tends to increase
entanglement, local measurements tend to disentangle, thus favoring
decoherence. Close to a quantum transition where the system develops critical
correlations with diverging length scales, the competition of the two drivings
is analyzed within a dynamic scaling framework, allowing us to identify a
regime (dynamic scaling limit) where the two mechanisms develop a nontrivial
interplay. We perform a numerical analysis of this protocol in a
measurement-driven Ising chain, which supports the scaling laws we put forward.
The local measurement process generally tends to suppress quantum correlations,
even in the dynamic scaling limit. The power law of the decay of the quantum
correlations turns out to be enhanced at the quantum transition.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph