Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical and quantum shortcuts to adiabaticity for scale-invariant
  driving   A shortcut to adiabaticity is a driving protocol that reproduces in a short
time the same final state that would result from an adiabatic, infinitely slow
process. A powerful technique to engineer such shortcuts relies on the use of
auxiliary counterdiabatic fields. Determining the explicit form of the required
fields has generally proven to be complicated. We present explicit
counterdiabatic driving protocols for scale-invariant dynamical processes,
which describe for instance expansion and transport. To this end, we use the
formalism of generating functions, and unify previous approaches independently
developed in classical and quantum studies. The resulting framework is applied
to the design of shortcuts to adiabaticity for a large class of classical and
quantum, single-particle, non-linear, and many-body systems.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci