The Excitation Spectrum of Two-Dimensional Bose Gases in the Gross-Pitaevskii Regime

被引：7
|
作者：
Caraci, Cristina [1 ]
Cenatiempo, Serena [2 ]
Schlein, Benjamin [1 ]
机构：
[1] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland
[2] Gran Sasso Sci Inst, Viale Francesco Crispi 7, I-67100 Laquila, Italy
来源：
ANNALES HENRI POINCARE | 2023年 / 24卷 / 08期
基金：
欧洲研究理事会; 瑞士国家科学基金会;
关键词：
GROUND-STATE ENERGY;
D O I：
10.1007/s00023-023-01278-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a system of N bosons, in the two-dimensional unit torus. We assume particles to interact through a repulsive two body potential, with a scattering length that is exponentially small in N (Gross-Pitaevskii regime). In this setting, we establish the validity of the predictions of Bogoliubov theory, determining the ground state energy of the Hamilton operator and its low-energy excitation spectrum, up to errors that vanish in the limit N ? 8.
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页码：2877 / 2928
页数：52
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