Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a Double-Well

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.

20 pages, 14 figures

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Cited by in corpus (6)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• A differentiable programming method for quantum control
• Lecture Notes: many-body quantum dynamics with MCTDH-X
• Beyond-mean-field phases of rotating dipolar condensates
• Many-body tunneling in a double-well potential
• Exact crystalline solution for a one-dimensional few-boson system with point interaction