Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a
  Double-Well   We examine the spectral structure and many-body dynamics of two and three
repulsively interacting bosons trapped in a one-dimensional double-well, for
variable barrier height, inter-particle interaction strength, and initial
conditions. By exact diagonalization of the many-particle Hamiltonian, we
specifically explore the dynamical behaviour of the particles launched either
at the single particle ground state or saddle point energy, in a
time-independent potential. We complement these results by a characterisation
of the cross-over from diabatic to quasi-adiabatic evolution under finite-time
switching of the potential barrier, via the associated time-evolution of a
single particle's von Neumann entropy. This is achieved with the help of the
multiconfigurational time-dependent Hartree method for indistinguishable
particles (\textsc{Mctdh-x}) -- which also allows us to extrapolate our results
for increasing particle numbers.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg