Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas

@article{Nam2021TwotermEO,
  title={Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas},
  author={Phan Th{\`a}nh Nam and Marcin Napi{\'o}rkowski},
  journal={Calculus of Variations and Partial Differential Equations},
  year={2021},
  volume={60}
}
  • P. T. Nam, M. Napiórkowski
  • Published 7 October 2020
  • Physics, Mathematics
  • Calculus of Variations and Partial Differential Equations
We consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when the number of particles becomes large, we derive a two-term expansion of the one-body density matrix of the ground state. The proof is based on a cubic correction to Bogoliubov’s approximation of the ground state energy and the ground state.  
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