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Scattering of hole excitations in a one-dimensional spinless quantum liquid | | K. A. Matveev
; A. V. Andreev
; | | Date: |
26 Apr 2012 | | Abstract: | Luttinger liquid theory accounts for the low energy boson excitations of
one-dimensional quantum liquids, but disregards the high energy excitations.
The most important high energy excitations are holes which have infinite
lifetime at zero temperature. At finite temperatures they can be scattered by
thermally excited bosons. We describe the interaction of the hole with the
bosons by treating it as a mobile impurity in a Luttinger liquid. This approach
enables us to evaluate the scattering probability at arbitrary interaction
strength. In general, the result is expressed in terms of the hole spectrum,
its dependence on the density and momentum of the fluid, and the parameters of
the Luttinger liquid Hamiltonian. In the special case of Galilean invariant
systems the scattering probability is expressed in terms of only the hole
spectrum and its dependence on the fluid density. We apply our results to the
problem of equilibration of one-dimensional quantum liquids. | | Source: | arXiv, 1204.5827 | | Services: | Forum | Review | PDF | Favorites | |
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