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arXiv:2605.06844

A Note on the Construction of Trial States for the Dilute Bose Gas

Morris Brooks, Jakob Oldenburg, Diane Saint Aubin

Published May 7, 2026• 0 citations
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Abstract

We review how the local particle number cutoff introduced in [11] is used to build trial states for the dilute Bose gas that capture the substantial correlation structure of the ground state in the thermodynamic limit. In particular, we provide a simplified derivation of the Lee-Huang-Yang correction as an upper bound for the ground state energy.

DOI
10.48550/arxiv.2605.06844

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We review how the local particle number cutoff introduced in [11] is used to build trial states for the dilute Bose gas that capture the substantial correlation structure of the ground state in the thermodynamic limit. In particular, we provide a simplified derivation of the Lee-Huang-Yang correction as an upper bound for the ground state energy.
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