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 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.
2019
2019-04-11 14:18:19
1033
quantum mechanics, quantum transport, nonequilibrium statistical physics, localized defects, free fermions, quantum quenches
kvantna mehanika, kvantni transport, neravnovesna statistična fizika
Marko
Ljubotina
70
Spyros
Sotiriadis
70
Tomaž
Prosen
70
UDK
4
530.145
ISSN pri članku
9
2542-4653
DOI
15
10.21468/SciPostPhys.6.1.004
COBISS_ID
3
3301220
OceCobissID
13
526154521
RAZ_Ljubotina_Marko_i2019.pdf
1886017
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2019-04-11 14:27:00
0
Izvorni URL
2021-02-12 14:27:36