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Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate by Lampart, Jonas; Pickl, Peter is a scholarly article available to read on EtoBox.

What is Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate about?

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.

Author

Lampart, Jonas; Pickl, Peter

Published

2020

Language

EN