Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a
Double-Well
- URL: http://arxiv.org/abs/2002.00973v1
- Date: Mon, 3 Feb 2020 19:00:10 GMT
- Title: Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a
Double-Well
- Authors: Frank Sch\"afer, Miguel A. Bastarrachea-Magnani, Axel U. J. Lode,
Laurent de Forges de Parny, and Andreas Buchleitner
- Abstract summary: We examine the spectral structure and many-body dynamics of two and three repulsively interacting bosons trapped in a one-dimensional double-well.
We specifically explore the dynamical behaviour of the particles launched either at the single particle ground state or saddle point energy.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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