2020/02/03 by Frank Schäfer, Miguel A. Bastarrachea-Magnani, Axel U. J. Lode +2 · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.quant-gas
paper · pdf · doi:10.3390/e22040382
20 pages, 14 figures
arxiv created 2020/02/03 · arxiv updated 2020/04/22
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 (Mctdh-x) -- which also allows us to extrapolate our results for increasing particle numbers.