Non-equilibrium quantum transport in presence of a defect: the non-interacting case
ID Ljubotina, Marko (Author), ID Sotiriadis, Spyros (Author), ID Prosen, Tomaž (Author)

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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.

Keywords:quantum mechanics, quantum transport, nonequilibrium statistical physics, localized defects, free fermions, quantum quenches
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Version of Record
Number of pages:34 str.
Numbering:Vol. 6, art. no. 004
PID:20.500.12556/RUL-107409 This link opens in a new window
ISSN on article:2542-4653
DOI:10.21468/SciPostPhys.6.1.004 This link opens in a new window
COBISS.SI-ID:3301220 This link opens in a new window
Publication date in RUL:11.04.2019
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Record is a part of a journal

Title:SciPost physics
Publisher:SciPost Foundation
COBISS.SI-ID:526154521 This link opens in a new window


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:11.04.2019

Secondary language

Keywords:kvantna mehanika, kvantni transport, neravnovesna statistična fizika


Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open many-body non-equilibrium systems

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