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

Ljubotina, Marko (author), Sotiriadis, Spyros (author), Prosen, Tomaž (author)

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.

• Language: English
• 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
• Year: 2019
• Number of pages: 34 str.
• Numbering: Vol. 6, art. no. 004
• PID: 20.500.12556/RUL-107409
• UDC: 530.145
• ISSN on article: 2542-4653
• DOI: 10.21468/SciPostPhys.6.1.004
• COBISS.SI-ID: 3301220
• Publication date in RUL: 11.04.2019

LJUBOTINA, Marko, SOTIRIADIS, Spyros and PROSEN, Tomaž, 2019, Non-equilibrium quantum transport in presence of a defect: the non-interacting case. SciPost physics [online]. 2019. Vol. 6, no. 004. [Accessed 11 April 2025]. DOI 10.21468/SciPostPhys.6.1.004. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=107409

Record is a part of a journal

• Title: SciPost physics
• Publisher: SciPost Foundation
• ISSN: 2542-4653
• COBISS.SI-ID: 526154521

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• 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

• Language: Slovenian
• Keywords: kvantna mehanika, kvantni transport, neravnovesna statistična fizika

Projects

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