Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Response to a local quench of a system near many body localization
  transition   We consider a one dimensional spin $1/2$ chain with Heisenberg interaction in
a disordered parallel magnetic field. This system is known to exhibit the many
body localization (MBL) transition at critical strength of disorder. We analyze
the response of the chain when additional perpendicular magnetic field is
applied to an individual spin and propose a method for accurate determination
of the mobility edge via local spin measurements. We further demonstrate that
the exponential decrease of the spin response with the distance between
perturbed spin and measured spin can be used to characterize the localization
length in the MBL phase.

21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex