Impurity states in the one-dimensional Bose gas
arXiv:1707.02904 · doi:10.1103/PhysRevA.96.043625
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.
arXiv comment7 pages, 8 figures, references added, misprints corrected
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