Finite-temperature transport in one-dimensional quantum lattice models

Bertini, Bruno (avtor), Heidrich-Meisner, Fabian (avtor), Karrasch, Christoph (avtor), Prosen, Tomaž (avtor), Steinigeweg, R. (avtor), Žnidarič, Marko (avtor)

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
• UDK: 530.145
• ISSN pri članku: 0034-6861
• DOI: 10.1103/RevModPhys.93.025003
• COBISS.SI-ID: 62716675
• Datum objave v RUL: 12.05.2021

BERTINI, Bruno, HEIDRICH-MEISNER, Fabian, KARRASCH, Christoph, PROSEN, Tomaž, STEINIGEWEG, R. in ŽNIDARIČ, Marko, 2021, Finite-temperature transport in one-dimensional quantum lattice models. Reviews of modern physics [na spletu]. 2021. Vol. 93, no. 2, p. 025003-1- 025003–71. [Dostopano 4 april 2025]. DOI 10.1103/RevModPhys.93.025003. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=126996

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

Sekundarni jezik

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