Lower bounds on the energy of the Bose gas
Research output: Contribution to journal › Journal article › Research › peer-review
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-Pitaevskii length scale. The presentation includes both the two-and three-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.
Original language | English |
---|---|
Article number | 2360004 |
Journal | Reviews in Mathematical Physics |
ISSN | 0129-055X |
DOIs | |
Publication status | E-pub ahead of print - 2023 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:
© 2023 World Scientific Publishing Company.
- Bogoliubov theory, dilute Bose gases, Lee-Huang-Yang formula, Many-body quantum mechanics
Research areas
ID: 373180823