Spectral structure and many-body dynamics of ultracold bosons in a double-well

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  • Frank Schäfer, University of Freiburg, University of Basel
  • ,
  • Miguel A. Bastarrachea-Magnani, University of Freiburg
  • ,
  • Axel U.J. Lode, University of Freiburg
  • ,
  • Laurent de Forges de Parny, University of Freiburg, ACRI-ST
  • ,
  • Andreas Buchleitner, University of Freiburg

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 behavior 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 characterization 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.

StatusUdgivet - apr. 2020

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