Lower bounds on the energy of the Bose gas

Autor:	Fournais, Søren, Girardot, Theotime, Junge, Lukas, Morin, Leo, Olivieri, Marco
Rok vydání:	2023
Předmět:	Mathematical Physics Mathematics - Analysis of PDEs Mathematics - Spectral Theory 81V73 81V70
Druh dokumentu:	Working Paper
DOI:	10.1142/S0129055X23600048
Popis:	We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the box is larger than the Gross-Pitaevski length scale. The presentation includes both the 2 and 3 dimensional cases, and catches the second order correction, i.e. the Lee-Huang-Yang term. The calculation on a box of this length scale is the main step to calculate the energy in the thermodynamic limit. However, the periodic boundary condition simplifies many steps of the argument considerably compared to the localized problem coming from the thermodynamic case. Comment: We corrected some typos and added some references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.00797 Zobrazit plný text záznamu View this record from Arxiv