Evidence for Bosonization in a Three-Dimensional Gas of SU(N) Fermions

Blurring the boundary between bosons and fermions lies at the heart of a wide range of intriguing quantum phenomena in multiple disciplines, ranging from condensed matter physics and atomic, molecular, and optical physics to high-energy physics. One such example is a multicomponent Fermi gas with SU...

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Main Authors: Bo Song, Yangqian Yan, Chengdong He, Zejian Ren, Qi Zhou, Gyu-Boong Jo
Format: Article
Language:English
Published: American Physical Society 2020-12-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.10.041053
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spelling doaj-1f3d2a686cc046dea465f1679700f4e82021-02-12T00:12:08ZengAmerican Physical SocietyPhysical Review X2160-33082020-12-0110404105310.1103/PhysRevX.10.041053Evidence for Bosonization in a Three-Dimensional Gas of SU(N) FermionsBo SongYangqian YanChengdong HeZejian RenQi ZhouGyu-Boong JoBlurring the boundary between bosons and fermions lies at the heart of a wide range of intriguing quantum phenomena in multiple disciplines, ranging from condensed matter physics and atomic, molecular, and optical physics to high-energy physics. One such example is a multicomponent Fermi gas with SU(N) symmetry that is expected to behave like spinless bosons in the large-N limit, where the large number of internal states weakens constraints from the Pauli exclusion principle. However, bosonization in SU(N) fermions has never been established in high dimensions where exact solutions are absent. Here, we report direct evidence for bosonization in a SU(N) fermionic ytterbium gas with tunable N in three dimensions (3D). We measure contacts, the central quantity controlling dilute quantum gases, from the momentum distribution and find that the contact per spin approaches a constant with a 1/N scaling in the low-fugacity regime consistent with our theoretical prediction. This scaling signifies the vanishing role of the fermionic statistics in thermodynamics and allows us to verify bosonization through measuring a single physical quantity. Our work delivers a highly controllable quantum simulator to exchange the bosonic and fermionic statistics through tuning the internal degrees of freedom in any generic dimensions. It also suggests a new route toward exploring multicomponent quantum systems and their underlying symmetries with contacts.http://doi.org/10.1103/PhysRevX.10.041053
collection DOAJ
language English
format Article
sources DOAJ
author Bo Song
Yangqian Yan
Chengdong He
Zejian Ren
Qi Zhou
Gyu-Boong Jo
spellingShingle Bo Song
Yangqian Yan
Chengdong He
Zejian Ren
Qi Zhou
Gyu-Boong Jo
Evidence for Bosonization in a Three-Dimensional Gas of SU(N) Fermions
Physical Review X
author_facet Bo Song
Yangqian Yan
Chengdong He
Zejian Ren
Qi Zhou
Gyu-Boong Jo
author_sort Bo Song
title Evidence for Bosonization in a Three-Dimensional Gas of SU(N) Fermions
title_short Evidence for Bosonization in a Three-Dimensional Gas of SU(N) Fermions
title_full Evidence for Bosonization in a Three-Dimensional Gas of SU(N) Fermions
title_fullStr Evidence for Bosonization in a Three-Dimensional Gas of SU(N) Fermions
title_full_unstemmed Evidence for Bosonization in a Three-Dimensional Gas of SU(N) Fermions
title_sort evidence for bosonization in a three-dimensional gas of su(n) fermions
publisher American Physical Society
series Physical Review X
issn 2160-3308
publishDate 2020-12-01
description Blurring the boundary between bosons and fermions lies at the heart of a wide range of intriguing quantum phenomena in multiple disciplines, ranging from condensed matter physics and atomic, molecular, and optical physics to high-energy physics. One such example is a multicomponent Fermi gas with SU(N) symmetry that is expected to behave like spinless bosons in the large-N limit, where the large number of internal states weakens constraints from the Pauli exclusion principle. However, bosonization in SU(N) fermions has never been established in high dimensions where exact solutions are absent. Here, we report direct evidence for bosonization in a SU(N) fermionic ytterbium gas with tunable N in three dimensions (3D). We measure contacts, the central quantity controlling dilute quantum gases, from the momentum distribution and find that the contact per spin approaches a constant with a 1/N scaling in the low-fugacity regime consistent with our theoretical prediction. This scaling signifies the vanishing role of the fermionic statistics in thermodynamics and allows us to verify bosonization through measuring a single physical quantity. Our work delivers a highly controllable quantum simulator to exchange the bosonic and fermionic statistics through tuning the internal degrees of freedom in any generic dimensions. It also suggests a new route toward exploring multicomponent quantum systems and their underlying symmetries with contacts.
url http://doi.org/10.1103/PhysRevX.10.041053
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