Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical operator method for the real time dynamics of
  strongly-correlated quantum impurity systems far from equilibrium   We develop a method for studying the real time dynamics of Heisenberg
operators in strongly-interacting nonequilibrium quantum impurity models. Our
method is applicable to a wide range of interaction strengths and to bias
voltages beyond the linear response regime, works at zero temperature, and
overcomes the finite-size limitations faced by other numerical methods. We
compare our method with quantum Monte Carlo simulations at a strong interaction
strength, at which no analytical method is applicable up to now. We find a very
good coincidence of the results at high bias voltage, and in the short time
period at low bias voltage. We discuss the possible reason of the deviation in
the long time period at low bias voltage. We also find a good coincidence of
our results with the perturbation results at weak interactions.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th