Exactly Solvable System of One-Dimensional Trapped Bosons with Short- and Long-Range Interactions

被引：11

作者：

Beau, M. ^{[1
,2
]}

Pittman, S. M. ^{[3
]}

Astrakharchik, G. E. ^{[4
]}

del Campo, A. ^{[1
,5
,6
,7
]}

机构：

[1] Univ Massachusetts, Dept Phys, Boston, MA 02125 USA

[2] Dublin Inst Adv Studies, Sch Theoret Phys, 10 Burlington Rd, Dublin 4, Ireland

[3] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

[4] Univ Politecn Cataluna, Dept Fis, Campus Nord B4-B5, E-08034 Barcelona, Spain

[5] Donostia Int Phys Ctr, E-20018 San Sebastian, Spain

[6] Ikerbasque, Basque Fdn Sci, Bilbao, Spain

[7] Los Alamos Natl Lab, Theory Div, MS-B213, Los Alamos, NM 87545 USA

来源：

PHYSICAL REVIEW LETTERS | 2020年 / 125卷 / 22期

关键词：

Ground state - Bose-Einstein condensation - Wave functions;

D O I：

10.1103/PhysRevLett.125.220602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a model of trapped bosons with contact interactions as well as Coulomb repulsion or gravitational attraction in one spatial dimension. We find the exact ground-state energy and many-body wave function. The density profile and the pair-correlation function are sampled using Monte Carlo method and show a rich variety of regimes with crossovers between them. Strong attraction leads to a trapped McGuire quantum soliton. Weak repulsion results in an incompressible Laughlin-like fluid with flat density, well reproduced by a Gross-Pitaevskii equation with long-range interactions. Stronger repulsion induces Friedel oscillations and the eventual formation of a Wigner crystal.

引用

页数：7

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