@article{12183,
  abstract     = {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.},
  author       = {Boccato, Chiara and Seiringer, Robert},
  issn         = {1424-0637},
  journal      = {Annales Henri Poincare},
  pages        = {1505--1560},
  publisher    = {Springer Nature},
  title        = {{The Bose Gas in a box with Neumann boundary conditions}},
  doi          = {10.1007/s00023-022-01252-3},
  volume       = {24},
  year         = {2023},
}

@article{7685,
  abstract     = {We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.},
  author       = {Boccato, Chiara},
  issn         = {0129-055X},
  journal      = {Reviews in Mathematical Physics},
  number       = {1},
  publisher    = {World Scientific},
  title        = {{The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime}},
  doi          = {10.1142/S0129055X20600065},
  volume       = {33},
  year         = {2021},
}

@article{8042,
  abstract     = {We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N.},
  author       = {Boccato, Chiara and Brennecke, Christian and Cenatiempo, Serena and Schlein, Benjamin},
  issn         = {14359855},
  journal      = {Journal of the European Mathematical Society},
  number       = {7},
  pages        = {2331--2403},
  publisher    = {European Mathematical Society},
  title        = {{The excitation spectrum of Bose gases interacting through singular potentials}},
  doi          = {10.4171/JEMS/966},
  volume       = {22},
  year         = {2020},
}

@article{6906,
  abstract     = {We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime. We show that low-energy states exhibit complete Bose–Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent results obtained in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018), removing the assumption of small interaction potential.},
  author       = {Boccato, Chiara and Brennecke, Christian and Cenatiempo, Serena and Schlein, Benjamin},
  issn         = {1432-0916},
  journal      = {Communications in Mathematical Physics},
  pages        = {1311--1395},
  publisher    = {Springer},
  title        = {{Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime}},
  doi          = {10.1007/s00220-019-03555-9},
  volume       = {376},
  year         = {2020},
}

@article{7413,
  abstract     = {We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N→∞. Our results confirm Bogoliubov’s predictions.},
  author       = {Boccato, Chiara and Brennecke, Christian and Cenatiempo, Serena and Schlein, Benjamin},
  issn         = {1871-2509},
  journal      = {Acta Mathematica},
  number       = {2},
  pages        = {219--335},
  publisher    = {International Press of Boston},
  title        = {{Bogoliubov theory in the Gross–Pitaevskii limit}},
  doi          = {10.4310/acta.2019.v222.n2.a1},
  volume       = {222},
  year         = {2019},
}