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  1. pubs.aip.org

    May 10, 2024In this paper, we address the problem of N bosons on a spherical surface interacting via attractive zero-range potential and investigate how this system crosses over from the uniform gas state to the localized soliton state as one increases the attraction.
  2. andreatononi.com

    N ! 1, and exact diffusion Monte Carlo results for intermediate N. For finite N, we observe a smooth crossover from the uniform state in the limit a R 1 (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 R p ffiffiffiffi N = . The two states are ...
  3. Note that the uniform-to-soliton transition for bosons on a sphere is very different from what happens with their one-dimensional counterpart. Indeed, for attractive one-dimensional bosons on a ring this transition is continuous in both infinite- N 𝑁 N italic_N and finite- N 𝑁 N italic_N cases [ Lincoln, , kanamoto2003, ].
  4. semanticscholar.org

    Dec 8, 2023We 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 N→∞, and exact diffusion Monte Carlo results for intermediate N. For finite N, we observe a smooth crossover from ...
  5. paperswithcode.com

    Gas-to-soliton transition of attractive bosons on a spherical surface 8 Dec 2023 · A. Tononi , G. E. Astrakharchik , D. S. Petrov · Edit social preview 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.
  6. Note that the uniform-to-soliton transition for bosons on a sphere is very different from what happens with their one-dimensional counterpart. Indeed, for attractive one-dimensional bosons on a ring this transition is continuous in both infinite- 𝑁 N italic_N and finite- 𝑁 N italic_N cases [ Lincoln, , kanamoto2003, ].
  7. inspirehep.net

    Jun 1, 2024We 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 N→∞⁠, and exact diffusion Monte Carlo results for intermediate N. For finite N, we observe a smooth crossover from ...

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