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Quantum Simulation

Exactly-solvable system of one-dimensional trapped bosons with short and long-range interactions

arXiv
Authors: M. Beau, S. M. Pittman, G. E. Astrakharchik, A. del Campo

Year

2020

Paper ID

20893

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

We consider trapped bosons with contact interactions as well as Coulomb repulsion or gravitational attraction in one spatial dimension. The exact ground state energy and wave function are identified in closed form together with a rich phase diagram, unveiled by Monte Carlo methods, with crossovers between different regimes. A trapped McGuire quantum soliton describes the attractive case. Weak repulsion results in an incompressible Laughlin-like fluid with flat density, well reproduced by a Gross-Pitaevskii equation with long-range interactions. Higher repulsion induces Friedel oscillation and the eventual formation of a Wigner crystal.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We consider trapped bosons with contact interactions as well as Coulomb repulsion or gravitational attraction in one spatial dimension.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2009.03319 [2] arXiv https://arxiv.org/abs/2009.03319 [3] Publisher https://arxiv.org/abs/2009.03319

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