Direct diagonalization method for a few particles trapped in harmonic potentials

Rojo-Francàs, A., Isaule, F. and Juliá-Díaz, B. (2022) Direct diagonalization method for a few particles trapped in harmonic potentials. Physical Review A: Atomic, Molecular and Optical Physics, 105, 063326. (doi: 10.1103/PhysRevA.105.063326)

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Abstract

We describe a procedure to systematically improve direct diagonalization results for few-particle systems trapped in one-dimensional harmonic potentials interacting by contact interactions. We start from the two-body problem to define a renormalization method for the interparticle interactions. The procedure is benchmarked with state-of-the-art numerical results for three and four symmetric fermions.

Item Type:Articles
Additional Information:This work has been funded by Grant No. PID2020-114626GBI00 from the MICIN/AEI/10.13039/501100011033. F.I. acknowledges funding from EPSRC (UK) through Grant No. EP/V048449/1. We acknowledge financial support from Secretaria d’Universitats i Recerca del Departament d’Empresa i Coneixement de la Generalitat de Catalunya, co-funded by the European Union Regional Development Fund within the ERDF Operational Program of Catalunya (project QuantumCat, Ref. 001-P-001644). A.R.F. acknowledges funding from the Spanish Ministry of Education through Grant No. FPU20/06174.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Isaule Rodriguez, Dr Felipe
Authors: Rojo-Francàs, A., Isaule, F., and Juliá-Díaz, B.
Subjects:Q Science > QC Physics
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Journal Abbr.:Phys. Rev. A
Publisher:American Physical Society
ISSN:2469-9926
ISSN (Online):2469-9934
Published Online:24 June 2022
Copyright Holders:Copyright © 2022 American Physical Society
First Published:First published in Physical Review A: Atomic, Molecular and Optical Physics 105: 063326
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
313206Helicity-dependent quantum phases.Joerg GoetteEngineering and Physical Sciences Research Council (EPSRC)EP/V048449/1P&S - Physics & Astronomy