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 p...

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Published in:arXiv.org 2022-01
Main Authors: Yamamoto, Daisuke, Bannai, Kotaro, Furukawa, Nobuo, Carlos A R Sá de Melo
Format: Article
Language:English
Subjects:
Bosons
Fluids
Optical lattices
Spin-orbit interactions
Staircases
Superfluidity
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Bannai, Kotaro
Furukawa, Nobuo
Carlos A R Sá de Melo
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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subjects Bosons
Fluids
Optical lattices
Spin-orbit interactions
Staircases
Superfluidity
title Supersolid Devil's Staircases of Spin-Orbit-Coupled Bosons in Optical Lattices
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