Stable supersolids and boselets in spin-orbit-coupled Bose-Einstein condensates with three-body interactions

We explore the stability of supersolid striped waves, plane-wave boselets, and other extended states in one-dimensional spin-orbit-coupled Bose-Einstein condensates with repulsive three-body interactions (R3BIs), modeled by quintic terms in the framework of the corresponding Gross-Pitaevskii equatio...

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Bibliographic Details
Main Authors: Rajamanickam Ravisankar, Sanu Kumar Gangwar, Henrique Fabrelli, Yongping Zhang, Paulsamy Muruganandam, Pankaj Kumar Mishra, Emmanuel Kengne, Gao Xianlong, Boris A. Malomed
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/gycf-981f
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Summary:We explore the stability of supersolid striped waves, plane-wave boselets, and other extended states in one-dimensional spin-orbit-coupled Bose-Einstein condensates with repulsive three-body interactions (R3BIs), modeled by quintic terms in the framework of the corresponding Gross-Pitaevskii equations. In the absence of R3BIs, the extended states are susceptible to the modulational instability (MI) induced by the cubic attractive nonlinearity. Using the linearized Bogoliubov-de-Gennes equations, we identify multiple new types of MI, including baseband, passband, mixedband, and zero-wavenumber-gain ones, which give rise to deterministic rogue waves and complex nonlinear wave patterns. Our analysis reveals that R3BIs eliminate baseband and zero-wavenumber-gain MIs, forming, instead, phonon modes that enable stable boselets. Additionally, mixedband and passband MIs are suppressed, which results in a latticelike phonon-roton mode that supports a stable supersolid phase. These stable supersolids can be realized using the currently available ultracold experimental setup.
ISSN:2643-1564