Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fully quantum scalable description of driven dissipative lattice models   Methods for modeling large driven dissipative quantum systems are becoming
increasingly urgent due to recent experimental progress in a number of photonic
platforms. We demonstrate the positive-P method to be ideal for this purpose
across a wide range of parameters, focusing on the archetypal driven
dissipative Bose-Hubbard model. Notably, these parameters include intermediate
regimes where interactions and dissipation are comparable, and especially cases
with low occupations for which common semiclassical approximations can break
down. The presence of dissipation can alleviate instabilities in the method
that are known to occur for closed systems, allowing the simulation of dynamics
up to and including the steady state. Throughout the parameter space of the
model, we determine the magnitude of dissipation that is sufficient to make the
method useful and stable, finding its region of applicability to be
complementary to that of truncated Wigner. We then demonstrate its use in a
number of examples with nontrivial quantum correlations, including a
demonstration of solving the urgent open problem of large and highly
non-uniform systems with even tens of thousands of sites.

34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th