Polaron Properties of an Impurity in Bose-Einstein-Condensation

Details Polaron Properties of an Impurity in Bose-Einstein-Condensation Polaron Properties of an Impurity in Bose-Einstein-Condensation

2008-11-24

arxiv.org/abs/0811.3881v1

Chin. Phys. Lett., Vol. 26, No. 8 (2009) 080302

Physics

Condensed Matter

Statistical Mechanics

13 pages, 3 figures

Scientific paper

In this paper we study an impurity in Bose-Einstein-Condensate system at $T=0K$ and suppose the contact forms for boson-boson and boson-impurity interactions. Using Bogoliubov theory and a further approximation corresponding to only think over the forward scattering of impurity by bosons, we derive a reduced Hamiltonian whose form is the same as the Fr\"{o}hlich Hamiltonian for large polaron. By using Lee-Low-Pines (LLP) theory for large polaron, we obtain the effective mass of impurity, the phonon number carried by impurity and the energy related to the existence of impurity. In addition, we also discuss the valid range for forward-scattering approximation.

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