20.500.12556/RUL-105235
Low-temperature transport in out-of-equilibrium XXZ chains
We study the low-temperature transport properties of out-of equilibrium XXZ spin-1/2 chains. We consider the protocol where two semiinfinite chains are prepared in two thermal states at small but different temperatures and suddenly joined together. We focus on the qualitative and quantitative features of the profiles of local observables, which at large times t and distances x from the junction become functions of the ratio ζ = x/t. By means of the generalized hydrodynamic equations, we analyse the rich phenomenology arising by considering different regimes of the phase diagram. In the gapped phases, variations of the profiles are found to be exponentially small in the temperatures, but described by non-trivial functions of ζ. We provide analytical formulae for the latter, which give accurate results also for small but finite temperatures. In the gapless regime, we show how the three-step conformal predictions for the profiles of energy density and energy current are naturally recovered from the hydrodynamic equations. Moreover, we also recover the recent non-linear Luttinger liquid predictions for low-temperature transport: universal peaks of width ∆ζ ∝ T emerge at the edges of the light cone in the profiles of generic observables. Such peaks are described by the same function of ζ for all local observables.
quantum statistical mechanics
quantum integrability
quantum transport
thermodynamics
kvantna statistična mehanika
kvantna integrabilnost
kvantni transport
termodinamika
true
false
false
Angleški jezik
Slovenski jezik
Neznano
2018-11-13 12:00:20
2018-11-13 12:00:20
2022-08-18 03:43:10
0000-00-00 00:00:00
2018
0
0
50 str.
art. no. 033104
Vol. 2018
Mar. 2018
0000-00-00
PostprintKoncna
Objavljeno
NiDoloceno
0000-00-00
0000-00-00
0000-00-00
2019-03-26
536.93
1742-5468
10.1088/1742-5468/aab04b
3264356
21517607
RAZ_Bertini_Bruno_i2018.pdf
RAZ_Bertini_Bruno_i2018.pdf
1
1A210906E44343A7E2036B4685D073ED
0e759864cb199061d284f7b54f5a070a1490e9dfe92d1e5e5c4f0e9a8f39ab2c
25d0060b-a1b6-11eb-a523-00155dcfd717
https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=115848
https://iopscience.iop.org/article/10.1088/1742-5468/aab04b
1
https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140698
Fakulteta za matematiko in fiziko
0
0
0