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• W2963048102 abstract "We study the ground state of a large bosonic system trapped in a symmetric double-well potential, letting the distance between the two wells increase to infinity with the number of particles. In this context, one should expect an interaction-driven transition between a delocalized state (particles are independent and all live in both wells) and a localized state (particles are correlated, half of them live in each well). We start from the full many-body Schrödinger Hamiltonian in a large-filling situation where the on-site interaction and kinetic energies are comparable. When tunneling is negligible against interaction energy, we prove a localization estimate showing that the particle number fluctuations in each well are strongly suppressed. The modes in which the particles condense are minimizers of nonlinear Schrödinger-type functionals." @default.
• W2963048102 created "2019-07-30" @default.
• W2963048102 creator A5017433202 @default.
• W2963048102 creator A5023783195 @default.
• W2963048102 date "2018-06-07" @default.
• W2963048102 modified "2023-09-25" @default.
• W2963048102 title "Interacting Bosons in a Double-Well Potential: Localization Regime" @default.
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• W2963048102 doi "https://doi.org/10.1007/s00220-018-3156-2" @default.
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