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

Phan Thanh, Nam und Napiorkowski, Marcin (2021): Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas. In: Calculus of Variations and Partial Differential Equations, Bd. 60, Nr. 3, 99

Abstract

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Analysis, Mathematische Physik und Numerik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0944-2669
• Sprache: Englisch