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.
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页数：7
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