Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong-coupling dynamics of Bose-Einstein condensate in a double-well
  trap   Dynamics of the repulsive Bose-Einstein condensate (BEC) in a double-well
trap is explored within the 3D time-dependent Gross-Pitaevskii equation. The
model avoids numerous common approximations (two-mode treatment, time-space
factorization, fixed values of the chemical potential and barrier
penetrability, etc) and thus provides a realistic description of BEC dynamics,
including both weak-coupling (sub-barrier) and strong-coupling (above-barrier)
regimes and their crossover. The strong coupling regime is achieved by
increasing the number $N$ of BEC atoms and thus the chemical potential. The
evolution with $N$ of Josephson oscillations (JO) and Macroscopic Quantum
Self-Trapping (MQST) is examined and the crucial impact of the BEC interaction
is demonstrated. At weak coupling, the calculations well reproduce the JO/MQST
experimental data. At strong coupling, with a significant overlap of the left
and right BECs, we observe a remarkable persistence of the Josephson-like
dynamics: the JO and MQST converge to a high-frequency JO-like mode where both
population imbalance and phase difference oscillate around the zero averages.
The results open new avenues for BEC interferometry.

1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
16
The categories of this paper are: stat