Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model

The Fermi-Hubbard model is one of the key models of condensed matter physics, which holds a potential for explaining the mystery of high-temperature superconductivity. Recent progress in ultracold atoms in optical lattices has paved the way to studying the model’s phase diagram using the tools of qu...

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Main Authors: J Kaczmarczyk, H Weimer, M Lemeshko
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/9/093042
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author J Kaczmarczyk
H Weimer
M Lemeshko
author_facet J Kaczmarczyk
H Weimer
M Lemeshko
author_sort J Kaczmarczyk
collection DOAJ
description The Fermi-Hubbard model is one of the key models of condensed matter physics, which holds a potential for explaining the mystery of high-temperature superconductivity. Recent progress in ultracold atoms in optical lattices has paved the way to studying the model’s phase diagram using the tools of quantum simulation, which emerged as a promising alternative to the numerical calculations plagued by the infamous sign problem. However, the temperatures achieved using elaborate laser cooling protocols so far have been too high to show the appearance of antiferromagnetic (AF) and superconducting quantum phases directly. In this work, we demonstrate that using the machinery of dissipative quantum state engineering, one can observe the emergence of the AF order in the Fermi-Hubbard model with fermions in optical lattices. The core of the approach is to add incoherent laser scattering in such a way that the AF state emerges as the dark state of the driven-dissipative dynamics. The proposed controlled dissipation channels described in this work are straightforward to add to already existing experimental setups.
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spelling doaj.art-4fd8e2be21434d70a6a6193caf5dc2eb2023-08-08T14:34:41ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118909304210.1088/1367-2630/18/9/093042Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard modelJ Kaczmarczyk0H Weimer1M Lemeshko2Institute of Science and Technology Austria , Am Campus 1, A-3400 Klosterneuburg, AustriaInstitut für Theoretische Physik, Leibniz Universität Hannover , Appelstr. 2, D-30167 Hannover, GermanyInstitute of Science and Technology Austria , Am Campus 1, A-3400 Klosterneuburg, AustriaThe Fermi-Hubbard model is one of the key models of condensed matter physics, which holds a potential for explaining the mystery of high-temperature superconductivity. Recent progress in ultracold atoms in optical lattices has paved the way to studying the model’s phase diagram using the tools of quantum simulation, which emerged as a promising alternative to the numerical calculations plagued by the infamous sign problem. However, the temperatures achieved using elaborate laser cooling protocols so far have been too high to show the appearance of antiferromagnetic (AF) and superconducting quantum phases directly. In this work, we demonstrate that using the machinery of dissipative quantum state engineering, one can observe the emergence of the AF order in the Fermi-Hubbard model with fermions in optical lattices. The core of the approach is to add incoherent laser scattering in such a way that the AF state emerges as the dark state of the driven-dissipative dynamics. The proposed controlled dissipation channels described in this work are straightforward to add to already existing experimental setups.https://doi.org/10.1088/1367-2630/18/9/093042Hubbard modelultracold gasesantiferromagnetic phaselattice fermion modelsdissipative preparation67.85.-d
spellingShingle J Kaczmarczyk
H Weimer
M Lemeshko
Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model
New Journal of Physics
Hubbard model
ultracold gases
antiferromagnetic phase
lattice fermion models
dissipative preparation
67.85.-d
title Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model
title_full Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model
title_fullStr Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model
title_full_unstemmed Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model
title_short Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model
title_sort dissipative preparation of antiferromagnetic order in the fermi hubbard model
topic Hubbard model
ultracold gases
antiferromagnetic phase
lattice fermion models
dissipative preparation
67.85.-d
url https://doi.org/10.1088/1367-2630/18/9/093042
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