Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multipartite-Entanglement Dynamics in Regular-to-Ergodic Transition: a
  Quantum-Fisher-Information approach   The characterization of entanglement is a central problem for the study of
quantum many-body dynamics. Here, we propose the quantum Fisher information as
a useful tool for the study of multipartite-entanglement dynamics in many-body
systems. We illustrate this by considering the regular-to-ergodic transition in
the Dicke model---a fully-connected spin model showing quantum thermalization
above a critical interaction strength. We show that the QFI has a rich
dynamical behavior which drastically changes across the transition. In
particular, the asymptotic value of the QFI, as well as its characteristic
timescales, witness the transition both through their dependence on the
interaction strength and through the scaling with the system size. Since the
QFI also sets the ultimate bound for the precision of parameter estimation, it
provides a metrological perspective on the characterization of entanglement
dynamics in many-body systems. Here we show that quantum ergodic dynamics
allows for a much faster production of metrologically useful states.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph