Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum recurrence and fractional dynamic localization in ac-driven
  perfect state transfer Hamiltonians   Quantum recurrence and dynamic localization are investigated in a class of
ac-driven tight-binding Hamiltonians, the Krawtchouk quantum chain, which in
the undriven case provides a paradigmatic Hamiltonian model that realizes
perfect quantum state transfer and mirror inversion. The equivalence between
the the ac-driven single-particle Krawtchouk Hamiltonian $\hat{H}(t)$ and the
non-interacting ac-driven bosonic junction Hamiltonian enables to determine in
a closed form the quasi energy spectrum of $\hat{H}(t)$ and the conditions for
exact wave packet reconstruction (dynamic localization). In particular, we show
that quantum recurrence, which is predicted by the general quantum recurrence
theorem, is {\it exact} for the Krawtchouk quantum chain in a dense range of
the driving amplitude. Exact quantum recurrence provides perfect wave packet
reconstruction at a frequency which is {\it fractional} than the driving
frequency, a phenomenon that can be referred to as fractional dynamic
localization.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg