Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exploiting the causal tensor network structure of quantum processes to
  efficiently simulate non-Markovian path integrals   In the path integral formulation of the evolution of an open quantum system
coupled to a Gaussian, non-interacting environment, the dynamical contribution
of the latter is encoded in an object called the influence functional. Here, we
relate the influence functional to the process tensor -- a more general
representation of a quantum stochastic process -- describing the evolution. We
then use this connection to motivate a tensor network algorithm for the
simulation of multi-time correlations in open systems, building on recent work
where the influence functional is represented in terms of time evolving matrix
product operators. By exploiting the symmetries of the influence functional, we
are able to use our algorithm to achieve orders-of-magnitude improvement in the
efficiency of the resulting numerical simulation. Our improved algorithm is
then applied to compute exact phonon emission spectra for the spin-boson model
with strong coupling, demonstrating a significant divergence from spectra
derived under commonly used assumptions of memorylessness.

36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat