Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum interference and nonequilibrium Josephson current in molecular
  Andreev interferometers   We study the quantum interference (QI) effects in three-terminal Andreev
interferometers based on polyaromatic hydrocarbons (PAH's) under
non-equilibrium conditions. The Andreev interferometer consists of a PAH
coupled to two superconducting and one normal conducting terminals. We
calculate the current measured in the normal lead as well as the current
between the superconducting terminals under non-equilibrium conditions. We show
that both the QI arising in the PAH cores and the bias voltage applied to a
normal contact have a fundamental effect on the charge distribution associated
with the Andreev Bound States (ABS's). QI can lead to a peculiar dependence of
the normal current on the superconducting phase difference that was not
observed in earlier studies of mesoscopic Andreev interferometers. We explain
our results by an induced asymmetry in the spatial distribution of the
electron- and hole-like quasiparticles. The non-equilibrium charge occupation
induced in the central PAH core can result in a $\pi$ transition in the
current-phase relation of the supercurrent for large enough applied bias
voltage on the normal lead. The asymmetry in the spatial distribution of the
electron- and hole-like quasiparticles might be used to split Cooper pairs and
hence to produce entangled electrons in four terminal setups.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys