Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean-field entanglement transitions in random tree tensor networks   Entanglement phase transitions in quantum chaotic systems subject to
projective measurements and in random tensor networks have emerged as a new
class of critical points separating phases with different entanglement scaling.
We propose a mean-field theory of such transitions by studying the entanglement
properties of random tree tensor networks. As a function of bond dimension, we
find a phase transition separating area-law from logarithmic scaling of the
entanglement entropy. Using a mapping onto a replica statistical mechanics
model defined on a Cayley tree and the cavity method, we analyze the scaling
properties of such transitions. Our approach provides a tractable,
mean-field-like example of an entanglement transition. We verify our
predictions numerically by computing directly the entanglement of random tree
tensor network states.

14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci