Variational approach to the ground state of an impurity in Bose-Einstein condensate

Details Variational approach to the ground state of an impurity in Bose-Einstein condensate Variational approach to the ground state of an impurity in Bose-Einstein condensate

2009-11-30

arxiv.org/abs/0911.5723v1

Physics

Condensed Matter

Quantum Gases

Scientific paper

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.

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