Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory for frequent measurements of spontaneous emissions in
  non-Markovian environment: beyond Lorentzian spectrum   The measurement-result-conditioned evolution of a system (e.g. an atom) with
spontaneous emissions of photons is well described by the quantum trajectory
(QT) theory. In this work we generalize the associated QT theory from
infinitely wide bandwidth Markovian environment to the case of finite bandwidth
non-Markovian environment. In particular, we generalize the treatment for
arbitrary spectrum, which is not restricted by the specific Lorentzian case. We
rigorously prove a general existence of a perfect scaling behavior jointly
defined by the bandwidth of environment and the time interval between
successive photon detections. For a couple of examples, we obtain analytic
results to facilitate QT simulations based on the Monte-Carlo algorithm. For
the case where analytical result is not available, numerical scheme is proposed
for practical simulations.

25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg