The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime

@article{Boccato2020TheES,
  title={The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime},
  author={Chiara Boccato},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
  • Chiara Boccato
  • Published 2020
  • Physics, Mathematics
  • arXiv: Mathematical Physics
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. 
1 Citations

References

SHOWING 1-10 OF 31 REFERENCES
Bogoliubov Theory in the Gross-Pitaevskii Limit
Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
Optimal Rate for Bose–Einstein Condensation in the Gross–Pitaevskii Regime
Complete Bose–Einstein Condensation in the Gross–Pitaevskii Regime
The Excitation Spectrum for Weakly Interacting Bosons in a Trap
The Ground State Energy of the Weakly Interacting Bose Gas at High Density
Ground states of large bosonic systems: The gross-pitaevskii limit revisited
Excitation Spectrum of Interacting Bosons in the Mean-Field Infinite-Volume Limit
...
1
2
3
4
...