Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heating from Continuous Number Density Measurements in Optical Lattices   We explore the effects of continuous number density measurement on atoms in
an optical lattice. By integrating a master equation for quantum observables,
we calculate how single particle correlations decay. We consider weakly- and
strongly- interacting bosons and noninteracting fermions. Even in the Mott
regime, such measurements destroy correlations and increase the average energy,
as long as some hopping is allowed. We explore the role of spatial resolution,
and find that the heating rate is proportional to the amount of information
gained from such measurements.

22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph