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arXiv · 2011.14428

Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate

Jonas Lampart·Peter Pickl
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Abstract

We consider the quantum dynamics of a large number $N$ of interacting bosons coupled a tracer particle, i.e. a particle of another kind, on a torus. We assume that in the initial state the bosons essentially form a homogeneous Bose-Einstein condensate, with some excitations. With an appropriate mean-field scaling of the interactions, we prove that the effective dynamics for $N\to \infty$ is generated by the Bogoliubov-Fr\"ohlich Hamiltonian, which couples the tracer particle linearly to the excitation field.

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Jonas Lampart, Peter Pickl. 2020-11-29. Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate. https://arxiv.org/abs/2011.14428

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