Variational approach to the ground state of an impurity in Bose-Einstein condensate
Quantum Gases
2015-05-14 v1 Other Condensed Matter
Abstract
In this paper we consider the effect of self-localization of a quantum impurity in Bose-Einstein condensate. Space correlation function of the impurity is evaluated with the help of the imaginary-time path integral approach. Employing the Feynman's variational method we calculate the impurity correlation function as well as the energy of the system associated with the impurity. The effect of self-localization predicted before within Gross-Pitaevskii approach is recovered by our treatment. The strong coupling regime with negative ground state energy is reached by variational method, and corresponding correlation function is calculated.
Keywords
Cite
@article{arxiv.0911.5723,
title = {Variational approach to the ground state of an impurity in Bose-Einstein condensate},
author = {Alexey Novikov and Mikhail Ovchinnikov},
journal= {arXiv preprint arXiv:0911.5723},
year = {2015}
}