Affiliation:
1. University of Ljubljana
Abstract
We study quantum transport after an inhomogeneous quantum quench in a
free fermion lattice system in the presence of a localised defect. Using
a new rigorous analytical approach for the calculation of large time and
distance asymptotics of physical observables, we derive the exact
profiles of particle density and current. Our analysis shows that the
predictions of a semiclassical approach that has been extensively
applied in similar problems match exactly with the correct asymptotics,
except for possible finite distance corrections close to the defect. We
generalise our formulas to an arbitrary non-interacting
particle-conserving defect, expressing them in terms of its scattering
properties.
Funder
European Research Council
Javna Agencija za Raziskovalno Dejavnost RS
Cited by
29 articles.
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