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Perpetuum motion of a mobile impurity in a one-dimensional quantum gas | | Oleg Lychkovskiy
; | | Date: |
28 Aug 2013 | | Abstract: | We consider noninteracting spinless fermions in one dimension and a single
particle of another species ("impurity") which interacts with the fermions
repulsively. Initially the fermions are in the ground state of the
noninteracting Hamiltonian (Fermi sea), and the impurity moves with some
momentum. We examine what momentum the impurity will possess at infinite time.
A lower bound on this asymptotic momentum is rigorously derived, provided the
initial momentum is below some threshold. The existence of such lower bound
implies the perpetuum motion of the impurity in the one-dimensional Fermi gas. | | Source: | arXiv, 1308.6260 | | Services: | Forum | Review | PDF | Favorites | |
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