Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accelerated and Airy-Bloch oscillations   A quantum particle subjected to a constant force undergoes an accelerated
motion following a parabolic path, which differs from the classical motion just
because of wave packet spreading (quantum diffusion). However, when a periodic
potential is added (such as in a crystal) the particle undergoes Bragg
scattering and an oscillatory (rather than accelerated) motion is found,
corresponding to the famous Bloch oscillations. Here we introduce an
exactly-solvable quantum Hamiltonian model, corresponding to a generalized
Wannier-Stark Hamiltonian $\hat{H}$, in which a quantum particle shows an
intermediate dynamical behavior, namely an oscillatory motion superimposed to
an accelerated one. Such a novel dynamical behavior is referred to as {\it
accelerated Bloch oscillations}. Analytical expressions of the spectrum,
improper eigenfunctions and propagator of the generalized Wannier-Stark
Hamiltonian $\hat{H}$ are derived. Finally, it is shown that acceleration and
quantum diffusion in the generalized Wannier-Stark Hamiltonian are prevented
for Airy wave packets, which undergo a periodic breathing dynamics that can be
referred to as {\it Airy-Bloch oscillations}.

16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat