Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adiabatic quantum control hampered by entanglement   We study defects in adiabatic control of a quantum system caused by the
entanglement of the system with its environment. Such defects can be
assimilated to decoherence processes due to perturbative couplings between the
system and the environment. To analyse these effects, we propose a geometric
approach based on a field theory on the control manifold issued from the higher
gauge theory associated with the $C^*$-geometric phases. We study a
visualization method to analyse the defects of adiabatic control based on the
drawing of the field strengths of the gauge theory. To illustrate the present
methodology we consider the example of the atomic STIRAP (stimulated Raman
adiabatic passage) where the controlled atom is entangled with another atom. We
study the robustness of the STIRAP effect when the controlled atom is entangled
with another one.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th