Diagonalizing Bose Gases in the Gross-Pitaevskii Regime and Beyond

被引:0
|
作者
Brooks, Morris [1 ]
机构
[1] Univ Zurich, Zurich, Switzerland
基金
欧洲研究理事会;
关键词
GROUND-STATE ENERGY; SYSTEM;
D O I
10.1007/s00220-024-05199-w
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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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页数:59
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