Fourier's law and many-body quantum systems

Christian B. Mendl

doi:10.1016/j.crhy.2019.08.006

Fourier's law and many-body quantum systems

Translated title of the contribution: Fourier's law and many-body quantum systems

Christian B. Mendl

Technische Universität Dresden

Research output: Contribution to journal › Short survey › peer-review

1 Scopus citations

Abstract

The topic of this article are transport properties of many-body quantum chains accompanying DMRG-type simulations of the Bose–Hubbard model. To set the stage, we first provide a very brief introduction to many-body quantum theory and tensor network approximations. Transport properties are studied via dynamical density correlation functions, in line with linear response theory. We observe diffusive behavior at “infinite temperature” T→∞. Finally, we mention other approaches to study transport, e.g., explicitly imposing a temperature gradient via thermal reservoirs at the boundary.

Translated title of the contribution	Fourier's law and many-body quantum systems
Original language	English
Pages (from-to)	442-448
Number of pages	7
Journal	Comptes Rendus Physique
Volume	20
Issue number	5
DOIs	https://doi.org/10.1016/j.crhy.2019.08.006
State	Published - 1 Jul 2019
Externally published	Yes

Keywords

DMRG/tensor networks
Diffusive transport
Dynamical correlation functions
Many-body quantum chains

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10.1016/j.crhy.2019.08.006

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title = "Fourier's law and many-body quantum systems",

abstract = "The topic of this article are transport properties of many-body quantum chains accompanying DMRG-type simulations of the Bose–Hubbard model. To set the stage, we first provide a very brief introduction to many-body quantum theory and tensor network approximations. Transport properties are studied via dynamical density correlation functions, in line with linear response theory. We observe diffusive behavior at “infinite temperature” T→∞. Finally, we mention other approaches to study transport, e.g., explicitly imposing a temperature gradient via thermal reservoirs at the boundary.",

keywords = "DMRG/tensor networks, Diffusive transport, Dynamical correlation functions, Many-body quantum chains",

author = "Mendl, \{Christian B.\}",

note = "Publisher Copyright: {\textcopyright} 2019 Acad{\'e}mie des sciences",

year = "2019",

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T1 - Fourier's law and many-body quantum systems

AU - Mendl, Christian B.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - The topic of this article are transport properties of many-body quantum chains accompanying DMRG-type simulations of the Bose–Hubbard model. To set the stage, we first provide a very brief introduction to many-body quantum theory and tensor network approximations. Transport properties are studied via dynamical density correlation functions, in line with linear response theory. We observe diffusive behavior at “infinite temperature” T→∞. Finally, we mention other approaches to study transport, e.g., explicitly imposing a temperature gradient via thermal reservoirs at the boundary.

AB - The topic of this article are transport properties of many-body quantum chains accompanying DMRG-type simulations of the Bose–Hubbard model. To set the stage, we first provide a very brief introduction to many-body quantum theory and tensor network approximations. Transport properties are studied via dynamical density correlation functions, in line with linear response theory. We observe diffusive behavior at “infinite temperature” T→∞. Finally, we mention other approaches to study transport, e.g., explicitly imposing a temperature gradient via thermal reservoirs at the boundary.

KW - DMRG/tensor networks

KW - Diffusive transport

KW - Dynamical correlation functions

KW - Many-body quantum chains

UR - https://www.scopus.com/pages/publications/85071628569

U2 - 10.1016/j.crhy.2019.08.006

DO - 10.1016/j.crhy.2019.08.006

M3 - Short survey

AN - SCOPUS:85071628569

SN - 1631-0705

VL - 20

SP - 442

EP - 448

JO - Comptes Rendus Physique

JF - Comptes Rendus Physique

IS - 5

ER -

Fourier's law and many-body quantum systems

Abstract

Keywords

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