Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adiabatic polaron dynamics and Josephson effect in a superconducting
  molecular quantum dot   We study the Josephson current through a resonant level coupled to a
vibration mode (local Holstein model) in the adiabatic limit of low oscillator
frequency. A semiclassical theory is then appropriate and allows us to consider
the oscillator dynamics within the Born-Oppenheimer approximation for arbitrary
electron-vibration couplings. The resulting Fokker-Planck equation has been
solved in the most relevant underdamped limit and yields the oscillator
distribution function and the Josephson current. Remarkably, a transition from
single-well to double-well behavior of the effective oscillator potential
surface is possible and can be tuned by variation of the superconducting phase
difference. The Josephson current is shown to be only weakly affected by the
electron-vibration coupling due to strong phonon localization near the bottom
of the potential surface.

37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn