Your browser does not allow JavaScript!
JavaScript is necessary for the proper functioning of this website. Please enable JavaScript or use a modern browser.
Open Science Slovenia
Open Science
DiKUL
slv
|
eng
Search
Browse
New in RUL
About RUL
In numbers
Help
Sign in
Finite-temperature transport in one-dimensional quantum lattice models
ID
Bertini, Bruno
(
Author
),
ID
Heidrich-Meisner, Fabian
(
Author
),
ID
Karrasch, Christoph
(
Author
),
ID
Prosen, Tomaž
(
Author
),
ID
Steinigeweg, R.
(
Author
),
ID
Žnidarič, Marko
(
Author
)
PDF - Presentation file,
Download
(5,04 MB)
MD5: D8896315C5C59972D8B3B66D26531B2E
URL - Source URL, Visit
https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.93.025003
Image galllery
Abstract
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.
Language:
English
Keywords:
condensed matter physics
,
quantum mechanics
,
quantum transport
Work type:
Article
Typology:
1.02 - Review Article
Organization:
FMF - Faculty of Mathematics and Physics
Publication status:
Published
Publication version:
Author Accepted Manuscript
Year:
2021
Number of pages:
Str. 025003-1-025003-71
Numbering:
Vol. 93, iss. 2
PID:
20.500.12556/RUL-126996
UDC:
530.145
ISSN on article:
0034-6861
DOI:
10.1103/RevModPhys.93.025003
COBISS.SI-ID:
62716675
Publication date in RUL:
12.05.2021
Views:
1173
Downloads:
852
Metadata:
Cite this work
Plain text
BibTeX
EndNote XML
EndNote/Refer
RIS
ABNT
ACM Ref
AMA
APA
Chicago 17th Author-Date
Harvard
IEEE
ISO 690
MLA
Vancouver
:
Copy citation
Share:
Record is a part of a journal
Title:
Reviews of modern physics
Shortened title:
Rev. mod. phys.
Publisher:
American Physical Society
ISSN:
0034-6861
COBISS.SI-ID:
26281984
Secondary language
Language:
Slovenian
Keywords:
fizika kondenzirane snovi
,
kvantna mehanika
,
kvantni transport
Projects
Funder:
EC - European Commission
Funding programme:
H2020
Project number:
694544
Name:
Open Many-body Non-Equilibrium Systems
Acronym:
OMNES
Funder:
ARRS - Slovenian Research Agency
Project number:
P1-0402
Name:
Matematična fizika
Funder:
ARRS - Slovenian Research Agency
Project number:
J1-7279
Name:
Termodinamika disipativnih nanosistemov
Funder:
ARRS - Slovenian Research Agency
Project number:
J1-1698
Name:
Načrtovanje večdelčnega transporta
Similar documents
Similar works from RUL:
Similar works from other Slovenian collections:
Back