TY - JOUR
AB - We consider a gas of n bosonic particles confined in a box [−ℓ/2,ℓ/2]3 with Neumann boundary conditions. We prove Bose–Einstein condensation in the Gross–Pitaevskii regime, with an optimal bound on the condensate depletion. Moreover, our lower bound for the ground state energy in a small box [−ℓ/2,ℓ/2]3 implies (via Neumann bracketing) a lower bound for the ground state energy of N bosons in a large box [−L/2,L/2]3 with density ρ=N/L3 in the thermodynamic limit.
AU - Boccato, Chiara
AU - Seiringer, Robert
ID - 12183
JF - Annales Henri Poincare
SN - 1424-0637
TI - The Bose Gas in a box with Neumann boundary conditions
VL - 24
ER -