Impurity states in the one-dimensional Bose gas
Quantum Gases
2017-11-01 v2
Abstract
The detailed study of the low-energy spectrum for a mobile impurity in the one-dimensional bosonic enviroment is performed. Particularly we have considered only two analytically accessible limits, namely, the case of an impurity immersed in a dilute Bose gas, where one can use many-body perturbation techniques for low-dimensional bosonic systemsm and the case of the Tonks-Girardeau gas, for which the usual fermionic diagrammatic expansion up to the second order is applied.
Keywords
Cite
@article{arxiv.1707.02904,
title = {Impurity states in the one-dimensional Bose gas},
author = {Volodymyr Pastukhov},
journal= {arXiv preprint arXiv:1707.02904},
year = {2017}
}
Comments
7 pages, 8 figures, references added, misprints corrected