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.
Complete Bose–Einstein Condensation in the Gross–Pitaevskii Regime
Cenatiempo SMembro del Collaboration Group
;
2018
Abstract
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2018_CommunMathPhys_359_Boccato.pdf
non disponibili
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non pubblico
Dimensione
627.87 kB
Formato
Adobe PDF
|
627.87 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
PostPrint_2018_CommunMathPhys_359_Boccato.pdf
accesso aperto
Descrizione: Author accepted manuscipt, disponibile su https://arxiv.org/abs/1703.04452.
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
454.84 kB
Formato
Adobe PDF
|
454.84 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
