izpis_h1_title_alt

Low-temperature transport in out-of-equilibrium XXZ chains
ID Bertini, Bruno (Avtor), ID Piroli, Lorenzo (Avtor)

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Izvleček
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.

Jezik:Angleški jezik
Ključne besede:quantum statistical mechanics, quantum integrability, quantum transport, thermodynamics
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FMF - Fakulteta za matematiko in fiziko
Leto izida:2018
Status objave pri reviji:Objavljeno
Verzija članka:Postprint, avtorjeva končna recenzirana različica članka, sprejeta v objavo
Št. strani:50 str.
Številčenje:Vol. 2018, art. no. 033104
UDK:536.93
ISSN pri članku:1742-5468
DOI:10.1088/1742-5468/aab04b Povezava se odpre v novem oknu
COBISS.SI-ID:3264356 Povezava se odpre v novem oknu
Datum objave v RUL:13.11.2018
Število ogledov:665
Število prenosov:439
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Gradivo je del revije

Naslov:Journal of statistical mechanics
Skrajšan naslov:J. stat. mech.
Založnik:IOP Publishing
ISSN:1742-5468
COBISS.SI-ID:21517607 Povezava se odpre v novem oknu

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:kvantna statistična mehanika, kvantna integrabilnost, kvantni transport, termodinamika

Gradivo je financirano iz projekta

Financer:EC - European Commission
Program financ.:H2020
Številka projekta:694544
Naslov:Open Many-body Non-Equilibrium Systems
Akronim:OMNES

Financer:EC - European Commission
Program financ.:FP7
Številka projekta:279391
Naslov:ENTANGLING AND DISENTANGLING EXTENDED QUANTUM SYSTEMS IN AND OUT OF EQUILIBRIUM
Akronim:EDEQS

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