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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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American Physical Society
2022-08-01
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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. |
first_indexed | 2024-04-24T10:14:21Z |
format | Article |
id | doaj.art-c6074674428c49dab4c0b5a54719193f |
institution | Directory Open Access Journal |
issn | 2643-1564 |
language | English |
last_indexed | 2024-04-24T10:14:21Z |
publishDate | 2022-08-01 |
publisher | American Physical Society |
record_format | Article |
series | Physical Review Research |
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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