Diagonalizing Bose Gases in the Gross–Pitaevskii Regime and Beyond

IF 2.2 1区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Communications in Mathematical Physics Pub Date : 2024-12-18 DOI:10.1007/s00220-024-05199-w
Morris Brooks
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Abstract

We present a novel approach to the Bogoliubov theory of dilute Bose gases, allowing for an elementary derivation of the celebrated Lee–Huang–Yang formula in the Gross–Pitaevskii regime. Furthermore, we identify the low lying excitation spectrum beyond the Gross–Pitaevskii scaling, extending a recent result (Brennecke et al. in Rev Math Phys 34, 2022) to significantly more singular scaling regimes. Finally, we provide an upper bound on the ground state energy in the Gross–Pitaevskii regime that captures the correct expected order of magnitude beyond the Lee–Huang–Yang formula.

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Communications in Mathematical Physics
Communications in Mathematical Physics 物理-物理:数学物理
CiteScore
4.70
自引率
8.30%
发文量
226
审稿时长
3-6 weeks
期刊介绍: The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.
期刊最新文献
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