Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Hermitian time-dependent perturbation theory: asymmetric transitions
  and transitionless interactions   The ordinary time-dependent perturbation theory of quantum mechanics, that
describes the interaction of a stationary system with a time-dependent
perturbation, predicts that the transition probabilities induced by the
perturbation are symmetric with respect to the initial an final states. Here we
extend time-dependent perturbation theory into the non-Hermitian realm and
consider the transitions in a stationary Hermitian system, described by a
self-adjoint Hamiltonian $\hat{H}_0$, induced by a time-dependent non-Hermitian
interaction $f(t) \hat{P}$. In the weak interaction (perturbative) limit, the
transition probabilities generally turn out to be {\it asymmetric} for exchange
of initial and final states. In particular, for a temporal shape $f(t)$ of the
perturbation with one-sided Fourier spectrum, i.e. with only positive (or
negative) frequency components, transitions are fully unidirectional, a result
that holds even in the strong interaction regime. Interestingly, we show that
non-Hermitian perturbations can be tailored to be transitionless, i.e. the
perturbation leaves the system unchanged as if the interaction had not occurred
at all, regardless the form of $\hat{H}_0$ and $\hat{P}$. As an application of
the results, we discuss asymmetric (chiral) behavior of dynamical encircling of
an exceptional point in a two- and three-level system.

26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol