Universal Borromean Binding in Spin-Orbit-Coupled Ultracold Fermi Gases

Borromean rings and Borromean binding, a class of intriguing phenomena as three objects are linked (bound) together while any two of them are unlinked (unbound), widely exist in nature and have been found in systems of biology, chemistry, and physics. Previous studies have suggested that the occurre...

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Main Authors: Xiaoling Cui, Wei Yi
Format: Article
Language:English
Published: American Physical Society 2014-08-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.4.031026
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author Xiaoling Cui
Wei Yi
author_facet Xiaoling Cui
Wei Yi
author_sort Xiaoling Cui
collection DOAJ
description Borromean rings and Borromean binding, a class of intriguing phenomena as three objects are linked (bound) together while any two of them are unlinked (unbound), widely exist in nature and have been found in systems of biology, chemistry, and physics. Previous studies have suggested that the occurrence of such a binding in physical systems typically relies on the microscopic details of pairwise interaction potentials at short range and is, therefore, nonuniversal. Here, we report a new type of Borromean binding in ultracold Fermi gases with Rashba spin-orbit coupling, which is universal against short-range interaction details, with its binding energy only dependent on the s-wave scattering length and the spin-orbit-coupling strength. We show that the occurrence of this universal Borromean binding is facilitated by the symmetry of the single-particle dispersion under spin-orbit coupling and is, therefore, symmetry selective rather than interaction selective. The state is robust over a wide range of mass ratios between composing fermions, which are accessible by Li-Li, K-K, and K-Li mixtures in cold-atom experiments. Our results reveal the importance of single- particle spectral symmetry in few-body physics and shed light on the emergence of new quantum phases in a many-body system with exotic few-body correlations.
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spelling doaj.art-d3486777c4414c5a979eeb2c46eb5dc42022-12-21T20:37:08ZengAmerican Physical SocietyPhysical Review X2160-33082014-08-014303102610.1103/PhysRevX.4.031026Universal Borromean Binding in Spin-Orbit-Coupled Ultracold Fermi GasesXiaoling CuiWei YiBorromean rings and Borromean binding, a class of intriguing phenomena as three objects are linked (bound) together while any two of them are unlinked (unbound), widely exist in nature and have been found in systems of biology, chemistry, and physics. Previous studies have suggested that the occurrence of such a binding in physical systems typically relies on the microscopic details of pairwise interaction potentials at short range and is, therefore, nonuniversal. Here, we report a new type of Borromean binding in ultracold Fermi gases with Rashba spin-orbit coupling, which is universal against short-range interaction details, with its binding energy only dependent on the s-wave scattering length and the spin-orbit-coupling strength. We show that the occurrence of this universal Borromean binding is facilitated by the symmetry of the single-particle dispersion under spin-orbit coupling and is, therefore, symmetry selective rather than interaction selective. The state is robust over a wide range of mass ratios between composing fermions, which are accessible by Li-Li, K-K, and K-Li mixtures in cold-atom experiments. Our results reveal the importance of single- particle spectral symmetry in few-body physics and shed light on the emergence of new quantum phases in a many-body system with exotic few-body correlations.http://doi.org/10.1103/PhysRevX.4.031026
spellingShingle Xiaoling Cui
Wei Yi
Universal Borromean Binding in Spin-Orbit-Coupled Ultracold Fermi Gases
Physical Review X
title Universal Borromean Binding in Spin-Orbit-Coupled Ultracold Fermi Gases
title_full Universal Borromean Binding in Spin-Orbit-Coupled Ultracold Fermi Gases
title_fullStr Universal Borromean Binding in Spin-Orbit-Coupled Ultracold Fermi Gases
title_full_unstemmed Universal Borromean Binding in Spin-Orbit-Coupled Ultracold Fermi Gases
title_short Universal Borromean Binding in Spin-Orbit-Coupled Ultracold Fermi Gases
title_sort universal borromean binding in spin orbit coupled ultracold fermi gases
url http://doi.org/10.1103/PhysRevX.4.031026
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