Non-equilibrium quantum transport in presence of a defect: the non-interacting case
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 par...
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2019-01-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.6.1.004 |
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doaj-4f050fcc35664c919897bc313377b6cb2020-11-25T00:20:27ZengSciPostSciPost Physics2542-46532019-01-016100410.21468/SciPostPhys.6.1.004Non-equilibrium quantum transport in presence of a defect: the non-interacting caseMarko Ljubotina, Spyros Sotiriadis, Tomaž ProsenWe 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.https://scipost.org/SciPostPhys.6.1.004 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Marko Ljubotina, Spyros Sotiriadis, Tomaž Prosen |
| spellingShingle |
Marko Ljubotina, Spyros Sotiriadis, Tomaž Prosen Non-equilibrium quantum transport in presence of a defect: the non-interacting case SciPost Physics |
| author_facet |
Marko Ljubotina, Spyros Sotiriadis, Tomaž Prosen |
| author_sort |
Marko Ljubotina, Spyros Sotiriadis, Tomaž Prosen |
| title |
Non-equilibrium quantum transport in presence of a defect: the non-interacting case |
| title_short |
Non-equilibrium quantum transport in presence of a defect: the non-interacting case |
| title_full |
Non-equilibrium quantum transport in presence of a defect: the non-interacting case |
| title_fullStr |
Non-equilibrium quantum transport in presence of a defect: the non-interacting case |
| title_full_unstemmed |
Non-equilibrium quantum transport in presence of a defect: the non-interacting case |
| title_sort |
non-equilibrium quantum transport in presence of a defect: the non-interacting case |
| publisher |
SciPost |
| series |
SciPost Physics |
| issn |
2542-4653 |
| publishDate |
2019-01-01 |
| description |
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. |
| url |
https://scipost.org/SciPostPhys.6.1.004 |
| work_keys_str_mv |
AT markoljubotinaspyrossotiriadistomazprosen nonequilibriumquantumtransportinpresenceofadefectthenoninteractingcase |
| _version_ |
1725367551237554176 |