Spin-charge separation effects in the low-temperature transport of one-dimensional Fermi gases
We study the transport properties of a one-dimensional spinful Fermi gas, after a junction of two semi-infinite subsystems held at different temperatures. The ensuing dynamics is studied by analyzing the space-time profiles of local observables emerging at large distances x and times t, as a function of ζ = x/t. At equilibrium, the system displays two distinct species of quasiparticles, naturally associated with different physical degrees of freedom. By employing the generalized hydrodynamic approach, we show that when the temperatures are finite no notion of separation can be attributed to the quasiparticles. In this case, the profiles can not be qualitatively distinguished by those associated to quasiparticles of a single species that can form bound states. On the contrary, signatures of separation emerge in the low-temperature regime, where two distinct characteristic velocities appear. In this regime, we analytically show that the profiles display a piecewise constant form and can be understood in terms of two decoupled Luttinger liquids.
2019
2019-05-27 09:51:12
1033
nonequilibrium statistical mechanics, quantum statistical mechanics, Fermi gas
neravnovesna statistična mehanika, kvantna statistična mehanika, Fermijev plin
Márton
Mestyán
70
Bruno
Bertini
70
Lorenzo
Piroli
70
Pasquale
Calabrese
70
UDK
4
536.93
ISSN pri članku
9
2469-9950
DOI
15
10.1103/PhysRevB.99.014305
COBISS_ID
3
3313252
OceCobissID
13
2997348
RAZ_Mestyan_Marton_i2019.pdf
748925
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2019-05-27 09:54:19
0
Izvorni URL
2021-02-12 14:15:53