Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Certifying the adiabatic preparation of ultracold lattice bosons in the
  vicinity of the Mott transition   We present a joint experimental and theoretical analysis to assess the
adiabatic experimental preparation of ultracold bosons in optical lattices
aimed at simulating the three-dimensional Bose-Hubbard model. Thermometry of
lattice gases is realized from the superfluid to the Mott regime by combining
the measurement of three-dimensional momentum-space densities with ab-initio
quantum Monte Carlo (QMC) calculations of the same quantity. The measured
temperatures across the superfluid-to-Mott transition are in agreement with
isentropic lines reconstructed via QMC for the experimental parameters of
interest, with a conserved entropy per particle of $S/N=0.8(1) k_{B}$. In
addition, the Fisher information associated with this thermometry method shows
that the latter is most accurate in the critical regime close to the Mott
transition, as confirmed in the experiment. These results prove that
equilibrium states of the Bose-Hubbard model - including those in the
quantum-critical regime above the Mott transition - can be adiabatically
prepared in cold-atom apparatus.

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int