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arXiv · 1707.02904

Impurity states in the one-dimensional Bose gas

Volodymyr Pastukhov
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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.

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Volodymyr Pastukhov. 2017-08-28. Impurity states in the one-dimensional Bose gas. https://doi.org/10.1103/physreva.96.043625

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