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Finite-temperature transport in one-dimensional quantum lattice models
ID Bertini, Bruno (Avtor), ID Heidrich-Meisner, Fabian (Avtor), ID Karrasch, Christoph (Avtor), ID Prosen, Tomaž (Avtor), ID Steinigeweg, R. (Avtor), ID Žnidarič, Marko (Avtor)

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Izvleček
Over the last decade impressive progress has been made in the theoretical understanding of transport properties of clean, one-dimensional quantum lattice systems. Many physically relevant models in one dimension are Bethe-ansatz integrable, including the anisotropic spin-1/2 Heisenberg (also called the spin-1/2 XXZ chain) and the Fermi-Hubbard model. Nevertheless, practical computations of correlation functions and transport coefficients pose hard problems from both the conceptual and technical points of view. Only because of recent progress in the theory of integrable systems, on the one hand, and the development of numerical methods, on the other hand, has it become possible to compute their finite-temperature and nonequilibrium transport properties quantitatively. Owing to the discovery of a novel class of quasilocal conserved quantities, there is now a qualitative understanding of the origin of ballistic finite-temperature transport, and even diffusive or superdiffusive subleading corrections, in integrable lattice models. The current understanding of transport in one-dimensional lattice models, in particular, in the paradigmatic example of the spin-1/2 XXZ and Fermi-Hubbard models, is reviewed, as well as state-of-the-art theoretical methods, including both analytical and computational approaches. Among other novel techniques, matrix-product-state-based simulation methods, dynamical typicality, and, in particular, generalized hydrodynamics are covered. The close and fruitful connection between theoretical models and recent experiments is discussed, with examples given from the realms of both quantum magnets and ultracold quantum gases in optical lattices.

Jezik:Angleški jezik
Ključne besede:condensed matter physics, quantum mechanics, quantum transport
Vrsta gradiva:Članek v reviji
Tipologija:1.02 - Pregledni znanstveni članek
Organizacija:FMF - Fakulteta za matematiko in fiziko
Status publikacije:Objavljeno
Različica publikacije:Recenzirani rokopis
Leto izida:2021
Št. strani:Str. 025003-1-025003-71
Številčenje:Vol. 93, iss. 2
PID:20.500.12556/RUL-126996 Povezava se odpre v novem oknu
UDK:530.145
ISSN pri članku:0034-6861
DOI:10.1103/RevModPhys.93.025003 Povezava se odpre v novem oknu
COBISS.SI-ID:62716675 Povezava se odpre v novem oknu
Datum objave v RUL:12.05.2021
Število ogledov:991
Število prenosov:787
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Gradivo je del revije

Naslov:Reviews of modern physics
Skrajšan naslov:Rev. mod. phys.
Založnik:American Physical Society
ISSN:0034-6861
COBISS.SI-ID:26281984 Povezava se odpre v novem oknu

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:fizika kondenzirane snovi, kvantna mehanika, kvantni transport

Projekti

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

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:P1-0402
Naslov:Matematična fizika

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:J1-7279
Naslov:Termodinamika disipativnih nanosistemov

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:J1-1698
Naslov:Načrtovanje večdelčnega transporta

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