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FM: Fall Meeting

FM 56: Entanglement: Many-Body Dynamics II

FM 56.5: Talk

Mittwoch, 25. September 2019, 15:15–15:30, 2004

Interacting bosons in an asymmetric double-well potential — •Jonathan Brugger and Andreas Buchleitner — Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Federal Republic of Germany

The fundamental equations of quantum mechanics are well-established, but their numerical solution can still be challenging, even for apparently simple quantum systems. Despite the ever increasing computational power available, new numerical and algorithmic approaches are key.

We investigate the quantum dynamics of two or more interacting bosons, trapped in an asymmetric double-well potential, by exact numerical diagonalization of their many-body Hamiltonian. Since the underlying Hilbert space is infinite-dimensional, we are seeking for an approximate solution in a subspace spanned by tensor products of polynomial B-Splines -- an approach which has become popular over the last three decades in atomic and molecular physics.