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

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Auteurs principaux: Ravisankar, Rajamanickam, Gangwar, Sanu Kumar, Fabrelli, Henrique, Zhang, Yongping, Muruganandam, Paulsamy, Mishra, Pankaj Kumar, Kengne, Emmanuel, Xianlong, Gao, Malomed, Boris A.
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Publié: 2025
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author Ravisankar, Rajamanickam
Gangwar, Sanu Kumar
Fabrelli, Henrique
Zhang, Yongping
Muruganandam, Paulsamy
Mishra, Pankaj Kumar
Kengne, Emmanuel
Xianlong, Gao
Malomed, Boris A.
author_facet Ravisankar, Rajamanickam
Gangwar, Sanu Kumar
Fabrelli, Henrique
Zhang, Yongping
Muruganandam, Paulsamy
Mishra, Pankaj Kumar
Kengne, Emmanuel
Xianlong, Gao
Malomed, Boris A.
contents 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 lattice-like phonon-roton mode that supports a stable supersolid phase. These stable supersolids can be realized using currently available ultracold experimental setup.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03505
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stable supersolids and boselets in spin-orbit-coupled Bose-Einstein condensates with three-body interactions
Ravisankar, Rajamanickam
Gangwar, Sanu Kumar
Fabrelli, Henrique
Zhang, Yongping
Muruganandam, Paulsamy
Mishra, Pankaj Kumar
Kengne, Emmanuel
Xianlong, Gao
Malomed, Boris A.
Quantum Gases
Pattern Formation and Solitons
Quantum Physics
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 lattice-like phonon-roton mode that supports a stable supersolid phase. These stable supersolids can be realized using currently available ultracold experimental setup.
title Stable supersolids and boselets in spin-orbit-coupled Bose-Einstein condensates with three-body interactions
topic Quantum Gases
Pattern Formation and Solitons
Quantum Physics
url https://arxiv.org/abs/2506.03505