Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loschmidt echo in the Bose-Hubbard model: turning back time in an
  optical lattice   I show how to perform a Loschmidt echo (time reversal) in the Bose-Hubbard
model implemented with cold bosonic atoms in an optical lattice. The echo is
obtained by applying a linear phase imprint on the lattice and a change in
magnetic field to tune the boson-boson scattering length through a Feshbach
resonance. I discuss how the echo can measure the fidelity of the quantum
simulation, the intensity of an external potential (e.g. gravity), or the
critical point of the superfluid-insulator quantum phase transition.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex