Lower bounds on the energy of the Bose gas
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Lower bounds on the energy of the Bose gas. / Fournais, Søren; Girardot, Theotime; Junge, Lukas; Morin, Leo; Olivieri, Marco.
In: Reviews in Mathematical Physics, 2023.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Lower bounds on the energy of the Bose gas
AU - Fournais, Søren
AU - Girardot, Theotime
AU - Junge, Lukas
AU - Morin, Leo
AU - Olivieri, Marco
N1 - Publisher Copyright: © 2023 World Scientific Publishing Company.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - Bogoliubov theory
KW - dilute Bose gases
KW - Lee-Huang-Yang formula
KW - Many-body quantum mechanics
UR - http://www.scopus.com/inward/record.url?scp=85172204805&partnerID=8YFLogxK
U2 - 10.1142/S0129055X23600048
DO - 10.1142/S0129055X23600048
M3 - Journal article
AN - SCOPUS:85172204805
JO - Reviews in Mathematical Physics
JF - Reviews in Mathematical Physics
SN - 0129-055X
M1 - 2360004
ER -
ID: 373180823