Bogoliubov theory in the Gross–Pitaevskii limit

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL

ACS Applied Energy Materials Pub Date : 2018-01-04 DOI:10.4310/ACTA.2019.V222.N2.A1

Chiara Boccato, C. Brennecke, S. Cenatiempo, B. Schlein

引用次数: 89

Abstract

We consider Bose gases consisting of $N$ particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of the order $N^{-1}$(Gross-Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as $N \to \infty$. Our results confirm Bogoliubov's predictions.

查看原文本刊更多论文

Gross-Pitaevskii极限下的Bogoliubov理论

我们考虑由$N$粒子组成的玻色气体，这些粒子被困在体积为1的盒子中，并通过散射长度为$N^{-1}$量级的排斥势相互作用（Gross-Pitaevskii机制）。我们确定了基态能量和低能激发光谱，直到误差消失为$N\\infty$。我们的结果证实了Bogoliubov的预测。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.