Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multifractal Orthogonality Catastrophe in 1D Random Quantum Critical
  Points   We study the response of random singlet quantum critical points to local
perturbations. Despite being insulating, these systems are dramatically
affected by a local cut in the system, so that the overlap $G=\left|\langle
\Psi_B |\Psi_A \rangle\right|$ of the groundstate wave functions with and
without a cut vanishes algebraically in the thermodynamic limit. We analyze
this Anderson orthogonality catastrophe in detail using a real-space
renormalization group approach. We show that both the typical value of the
overlap G and the disorder average of $G^\alpha$ with $\alpha>0$ decay as
power-laws of the system size. In particular, the disorder average of
$G^\alpha$ shows a "multifractal" behavior, with a non-trivial limit $\alpha
\to \infty$ that is dominated by rare events. We also discuss the case of more
generic local perturbations and generalize these results to local quantum
quenches.

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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc