A numerical study of the Bose-Einstein condensates in a double-well trap using finite differences

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Bibliographic Details
Main Authors:	Nader, D. J., Serrano-Ensástiga, E.
Format:	Preprint
Published:	2024
Subjects:	Quantum Physics Quantum Gases
Online Access:	Acceder al recurso
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author	Nader, D. J. Serrano-Ensástiga, E.
author_facet	Nader, D. J. Serrano-Ensástiga, E.
contents	Bose-Einstein condensates in a double-well potential contain the essential ingredients to study many-body systems within a rich classical phase-space that includes an unstable point and a separatrix. Employing a selfconsistent finite difference method, we study some of their quantum properties and their dependency on the strength of the boson-boson interaction. We observe a deviation in the critical parameters associated with a behavior change in both the energy distribution and the eigenstates of the system. We also examine the trends of the nonclassicality via the Wigner function, the tunneling transmission coefficient, and the nonorthogonality of eigenstates associated with the nonlinearity aspects of the Gross-Pitaevskii equation.
format	Preprint
id	arxiv_https___arxiv_org_abs_2402_05735
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	A numerical study of the Bose-Einstein condensates in a double-well trap using finite differences Nader, D. J. Serrano-Ensástiga, E. Quantum Physics Quantum Gases Bose-Einstein condensates in a double-well potential contain the essential ingredients to study many-body systems within a rich classical phase-space that includes an unstable point and a separatrix. Employing a selfconsistent finite difference method, we study some of their quantum properties and their dependency on the strength of the boson-boson interaction. We observe a deviation in the critical parameters associated with a behavior change in both the energy distribution and the eigenstates of the system. We also examine the trends of the nonclassicality via the Wigner function, the tunneling transmission coefficient, and the nonorthogonality of eigenstates associated with the nonlinearity aspects of the Gross-Pitaevskii equation.
title	A numerical study of the Bose-Einstein condensates in a double-well trap using finite differences
topic	Quantum Physics Quantum Gases
url	https://arxiv.org/abs/2402.05735

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