We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second-order term, as predicted by the Lee–Huang–Yang formula. This result was first established in J. Stat. Phys. 136(3) (2009) by H.-T. Yau and J. Yin. Our proof, which applies to repulsive and compactly supported $V in L^3(mathbb{R}^3)$, gives better rates and, in our opinion, is substantially simpler.

A new second-order upper bound for the ground state energy of dilute Bose gases

Basti, Giulia
Membro del Collaboration Group
;
Cenatiempo, Serena
Membro del Collaboration Group
;
2021

Abstract

We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second-order term, as predicted by the Lee–Huang–Yang formula. This result was first established in J. Stat. Phys. 136(3) (2009) by H.-T. Yau and J. Yin. Our proof, which applies to repulsive and compactly supported $V in L^3(mathbb{R}^3)$, gives better rates and, in our opinion, is substantially simpler.
Interacting bosons
thermodynamic limit
Lee–Huang–Yang formula
Bogoliubov theory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/24143
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