Quantum dynamics of two bosons in an anharmonic trap: Collective vs internal excitations

Details Quantum dynamics of two bosons in an anharmonic trap: Collective vs internal excitations Quantum dynamics of two bosons in an anharmonic trap: Collective vs internal excitations

2007-05-22

arxiv.org/abs/0705.3205v1

Phys. Rev. A 76, 023602 (2007)

Physics

Condensed Matter

Other Condensed Matter

8 pages, 7 figures

Scientific paper

10.1103/PhysRevA.76.023602

This work deals with the effects of an anharmonic trap on an interacting two-boson system in one dimension. Our primary focus is on the role of the induced coupling between the center of mass and the relative motion as both anharmonicity and the (repulsive) interaction strength are varied. The ground state reveals a strong localization in the relative coordinate, counteracting the tendency to fragment for stronger repulsion. To explore the quantum dynamics, we study the system's response upon (i) exciting the harmonic ground state by continuously switching on an additional anharmonicity, and (ii) displacing the center of mass, this way triggering collective oscillations. The interplay between collective and internal dynamics materializes in the collapse of oscillations, which are explained in terms of few-mode models.

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