Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing the entanglement of operator growth   In this work we probe the operator growth for systems with Lie symmetry using
tools from quantum information. Namely, we investigate the Krylov complexity,
entanglement negativity, von Neumann entropy and capacity of entanglement for
systems with SU(1,1) and SU(2) symmetry. Our main tools are two-mode coherent
states, whose properties allow us to study the operator growth and its
entanglement structure for any system in a discrete series representation of
the groups under consideration. Our results verify that the quantities of
interest exhibit certain universal features in agreement with the universal
operator growth hypothesis. Moreover, we illustrate the utility of this
approach relying on symmetry as it significantly facilitates the calculation of
quantities probing operator growth. In particular, we argue that the use of the
Lanczos algorithm, which has been the most important tool in the study of
operator growth so far, can be circumvented and all the essential information
can be extracted directly from symmetry arguments.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg