Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the adiabatic preparation of spatially-ordered Rydberg excitations of
  atoms in a one-dimensional optical lattice by laser frequency sweeps   We examine the adiabatic preparation of crystalline phases of Rydberg
excitations in a one-dimensional lattice gas by frequency sweep of the
excitation laser, as proposed by Pohl et al. [Phys. Rev. Lett. 104, 043002
(2010)] and recently realized experimentally by Schau{\ss} et al. [Science 347,
1455 (2015)]. We find that the preparation of crystals of a few Rydberg
excitations in a unitary system of several tens of atoms requires exceedingly
long times for the adiabatic following of the ground state of the system
Hamiltonian. Using quantum stochastic (Monte-Carlo) wavefunction simulations,
we show that realistic decay and dephasing processes affecting the atoms during
the preparation lead to a final state of the system that has only a small
overlap with the target crystalline state. Yet, the final number and highly
sub-Poissonian statistics of Rydberg excitations and their spatial order are
little affected by the relaxations.

3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex