Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing localization and quantum geometry by spectroscopy   The spatial localization of quantum states plays a central role in
condensed-matter phenomena, ranging from many-body localization to topological
matter. Building on the dissipation-fluctuation theorem, we propose that the
localization properties of a quantum-engineered system can be probed by
spectroscopy, namely, by measuring its excitation rate upon a periodic drive.
We apply this method to various examples that are of direct experimental
relevance in ultracold atomic gases, including Anderson localization,
topological edge modes, and interacting particles in a harmonic trap. Moreover,
inspired by a relation between quantum fluctuations and the quantum metric, we
describe how our scheme can be generalized in view of extracting the full
quantum-geometric tensor of many-body systems. Our approach opens an avenue for
probing localization, as well as quantum fluctuations, geometry and
entanglement, in synthetic quantum matter.

30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga