Gas-to-soliton transition of attractive bosons on a spherical surface
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hdl:2117/408615
Document typeArticle
Defense date2024-06-01
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Abstract
We investigate the ground-state properties of N bosons with attractive zero-range interactions characterized by the scattering length a¿>¿0 and confined to the surface of a sphere of radius R. We present the analytic solution of the problem for N¿=¿2, mean-field analysis for ¿, and exact diffusion Monte Carlo results for intermediate N. For finite N, we observe a smooth crossover from the uniform state in the limit (weak attraction) to a localized state at small a/R (strong attraction). With increasing N, this crossover narrows down to a discontinuous transition from the uniform state to a soliton of size ¿. The two states are separated by an energy barrier, tunneling under which is exponentially suppressed at large N. The system behavior is marked by a peculiar competition between space-curvature effects and beyond-mean-field terms, both breaking the scaling invariance of a two-dimensional mean-field theory.
CitationTononi, A.; Astrakharchik, G.; Petrov, D. Gas-to-soliton transition of attractive bosons on a spherical surface. "AVS Quantum Science", 1 Juny 2024, vol. 6, núm. 2, article 023201.
ISSN2639-0213
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