We consider a gas of N bosons in a box with volume one interacting through a two-body potential with scattering length of order N^{-1} (Gross–Pitaevskii limit). Assuming the (unscaled) potential to be sufficiently weak, we prove complete Bose–Einstein condensation for the ground state and for many-body states with finite excitation energy in the limit of large N with a uniform (N-independent) bound on the number of excitations.
Titolo: | Complete Bose–Einstein Condensation in the Gross–Pitaevskii Regime | |
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Data di pubblicazione: | 2018 | |
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Handle: | http://hdl.handle.net/20.500.12571/6948 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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2018_CommunMathPhys_359_Boccato.pdf | Versione Editoriale (PDF) | Non pubblico | Administrator Richiedi una copia | |
PostPrint_2018_CommunMathPhys_359_Boccato.pdf | Author accepted manuscipt, disponibile su https://arxiv.org/abs/1703.04452. | Documento in Post-print | ![]() | Open Access Visualizza/Apri |
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