Bound States in a Quasi-Two-Dimensional Fermi Gas

被引：32

作者：

Levinsen, Jesper ^{[1
]}

Parish, Meera M. ^{[1
,2
]}

机构：

[1] Univ Cambridge, Cavendish Lab, TCM Grp, Cambridge CB3 0HE, England

[2] London Ctr Nanotechnol, London WC1H 0AH, England

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

UNIVERSAL PROPERTIES; BOSE CONDENSATION; 2; DIMENSIONS; SCATTERING; PARTICLES; BOSONS; SYSTEM;

D O I：

10.1103/PhysRevLett.110.055304

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the problem of N identical fermions of mass m(up arrow) and one distinguishable particle of mass m(down arrow) interacting via short-range interactions in a confined quasi-two-dimensional (quasi-2D) geometry. For N 2 and mass ratios m(up arrow)/m(down arrow) < 13: 6, we find non-Efimov trimers that smoothly evolve from 2D to 3D. In the limit of strong 2D confinement, we show that the energy of the N + 1 system can be approximated by an effective two-channel model. We use this approximation to solve the 3 + 1 problem and we find that a bound tetramer can exist for mass ratios m(up arrow)/m(down arrow) as low as 5 for strong confinement, thus providing the first example of a universal, non-Efimov tetramer involving three identical fermions. DOI: 10.1103/PhysRevLett.110.055304

引用

页数：5

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