Supersolid devil's staircases of spin-orbit-coupled bosons in optical lattices

We study the emergence of supersolid devil's staircases of spin-orbit-coupled bosons loaded in optical lattices. We consider two- and three-dimensional systems of pseudo-spin-1/2 bosons interacting via local spin-dependent interactions. These interactions together with spin-orbit coupling produ...

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Main Authors: Daisuke Yamamoto, Kotaro Bannai, Nobuo Furukawa, Carlos A. R. Sá de Melo
Format: Article
Language:English
Published: American Physical Society 2022-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.L032023
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author Daisuke Yamamoto
Kotaro Bannai
Nobuo Furukawa
Carlos A. R. Sá de Melo
author_facet Daisuke Yamamoto
Kotaro Bannai
Nobuo Furukawa
Carlos A. R. Sá de Melo
author_sort Daisuke Yamamoto
collection DOAJ
description We study the emergence of supersolid devil's staircases of spin-orbit-coupled bosons loaded in optical lattices. We consider two- and three-dimensional systems of pseudo-spin-1/2 bosons interacting via local spin-dependent interactions. These interactions together with spin-orbit coupling produce length scales that are commensurate to the lattice spacing. This commensurability leads to devil's staircases of supersolids, with fractal Hausdorff dimensions, which arise from uniform superfluid phases. We show that umklapp processes are essential for the existence of commensurate supersolids, and that without them the devil's staircase does not exist. Lastly, we emphasize the generality of our results, suggest experiments that can unveil these unusual predictions, and discuss potential applications to the case of ^{87}Rb.
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spelling doaj.art-c6074674428c49dab4c0b5a54719193f2024-04-12T17:23:40ZengAmerican Physical SocietyPhysical Review Research2643-15642022-08-0143L03202310.1103/PhysRevResearch.4.L032023Supersolid devil's staircases of spin-orbit-coupled bosons in optical latticesDaisuke YamamotoKotaro BannaiNobuo FurukawaCarlos A. R. Sá de MeloWe study the emergence of supersolid devil's staircases of spin-orbit-coupled bosons loaded in optical lattices. We consider two- and three-dimensional systems of pseudo-spin-1/2 bosons interacting via local spin-dependent interactions. These interactions together with spin-orbit coupling produce length scales that are commensurate to the lattice spacing. This commensurability leads to devil's staircases of supersolids, with fractal Hausdorff dimensions, which arise from uniform superfluid phases. We show that umklapp processes are essential for the existence of commensurate supersolids, and that without them the devil's staircase does not exist. Lastly, we emphasize the generality of our results, suggest experiments that can unveil these unusual predictions, and discuss potential applications to the case of ^{87}Rb.http://doi.org/10.1103/PhysRevResearch.4.L032023
spellingShingle Daisuke Yamamoto
Kotaro Bannai
Nobuo Furukawa
Carlos A. R. Sá de Melo
Supersolid devil's staircases of spin-orbit-coupled bosons in optical lattices
Physical Review Research
title Supersolid devil's staircases of spin-orbit-coupled bosons in optical lattices
title_full Supersolid devil's staircases of spin-orbit-coupled bosons in optical lattices
title_fullStr Supersolid devil's staircases of spin-orbit-coupled bosons in optical lattices
title_full_unstemmed Supersolid devil's staircases of spin-orbit-coupled bosons in optical lattices
title_short Supersolid devil's staircases of spin-orbit-coupled bosons in optical lattices
title_sort supersolid devil s staircases of spin orbit coupled bosons in optical lattices
url http://doi.org/10.1103/PhysRevResearch.4.L032023
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