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, Vol. 60, No. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0944-2669
• Language: English