Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An effective method of calculating the non-Markovianity $\mathcal{N}$
  for single channel open systems   We propose an effective method which can simplify the optimization of the
increase of the trace distance over all pairs of initial states in calculating
the non-Markovianity $\mathcal{N}$ for single channel open systems. For the
amplitude damping channel, we can unify the results of Breuer $et$ $al$. [Phys.
Rev. Lett. \bf 103\rm, 210401 (2009)] in the large-detuning case and the
results of Xu $et$ $al$. [Phys. Rev. A \bf 81\rm, 044105 (2010)] in the
resonant case; furthermore, for the general off-resonant cases we can obtain a
very tight lower bound of $\mathcal{N}$.
  As another application of our method, we also discuss $\mathcal{N}$ for the
non-Markovian depolarizing channel.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph