Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of non-equilibrium noise in general multi-terminal
  superconducting hydrid devices: application to multiple Cooper pair
  resonances   We consider the out-of-equilibrium behavior of a general class of mesoscopic
devices composed of several superconducting or/and normal metal leads separated
by quantum dots. Starting from a microscopic Hamiltonian description, we
provide a non-perturbative approach to quantum electronic transport in the
tunneling amplitudes between dots and leads: using the equivalent of a path
integral formulation, the lead degrees of freedom are integrated out in order
to compute both the current and the current correlations (noise) in this class
of systems, in terms of the dressed Green's function matrix of the quantum
dots. In order to illustrate the efficiency of this formalism, we apply our
results to the "all superconducting Cooper pair beam splitter", a device
composed of three superconducting leads connected via two quantum dots, where
crossed Andreev reflection operates Cooper pair splitting. Commensurate voltage
differences between the three leads allow to obtain expressions for the current
and noise as a function of the Keldysh Nambu Floquet dressed Green's function
of the dot system. This voltage configuration allows the occurrence of
non-local processes involving multiple Cooper pairs which ultimately lead to
the presence of non-zero DC currents in an out-of-equilibrium situation. We
investigate in details the results for the noise obtained numerically in the
specific case of opposite voltages, where the transport properties are
dominated by the so called "quartet processes", involving the coherent exchange
of two Cooper pairs among all three superconducting terminals. We show that
these processes are noiseless in the non-resonant case, and that this property
is also observed for other voltage configurations. When the dots are in a
resonant regime, the noise characteristics change qualitatively, with the
appearance of giant Fano factors.

6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys