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Non-equilibrium quantum transport in presence of a defect: the non-interacting case

by Marko Ljubotina, Spyros Sotiriadis, Toma┼ż Prosen

Submission summary

As Contributors: Spyros Sotiriadis
Arxiv Link:
Date accepted: 2018-12-19
Date submitted: 2018-12-04
Submitted by: Sotiriadis, Spyros
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Mathematical Physics


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.

Current status:

Author comments upon resubmission

We would like to thank the referees for their comments. We have modified the manuscript accordingly.

List of changes

1. Corrected typo in eq.(24).

2. Modified wording in certain sentences following referee 2 comments.

3. Added two paragraphs at the end of sec. 5 with a discussion on the applicability of our analytical method to more general inhomogeneous initial states.

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