Journal
PHYSICAL REVIEW LETTERS
Volume 125, Issue 22, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.125.220602
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Funding
- John Templeton Foundation
- Spanish Ministerio de Ciencia e Innovacion [PID2019-109007GA-I00]
- Ministerio de Economia, Industria y Competitividad (MINECO, Spain) [FIS2017-84114-C2-1-P]
- Secretaria d'Universitats i Recerca del Departament d'Empresa i Coneixement de la Generalitat de Catalunya
- UMass Boston [P20150000029279]
- European Union Regional Development Fund within ERDF Operational Program of Catalunya (project QuantumCat) [001-P-001644]
- Barcelona Supercomputing Center [RES-FI2020-2-0020]
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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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