UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2022-07-01 16:53

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Conference: Bucharest University Faculty of Physics 2019 Meeting


Section: Theoretical Physics and Applied Mathematics


Title:
Effective equation for highly oblate Bose-Einstein condensates


Authors:
Rareș IOVĂNESCU (1), Mihaela Carina RAPORTARU (2), Alexandru I. NICOLIN (1,2)


Affiliation:
1) Faculty of Physics, University of Bucharest, Atomistilor 405, Magurele, Romania

2) Department of Computational Physics and Information Technologies,

Horia Hulubei National Institute for Physics and Nuclear Engineering, Reactorului 30, Magurele, Romania



E-mail
nicolin@nicolin.info


Keywords:
Bose-Einstein condensates, effective equations, oblate condensates


Abstract:
We study by variational means within the Gross-Pitaevskii 0 K formalism the dynamics of highly oblate Bose-Einstein condensates [1] and derive an effective two-dimensional equation which has a nonpolynomial nonlinearity. The derived equation describes the high-density (also known as Thomas-Fermi) regime of the condensate and relies on a q-Gaussian ansatz which accounts correctly both for the bulk of the condensate and its surface [2]. We compare our equation with its known one-dimensional version [3] derived for high-density condensates and the one- and two-dimensional equations derived for low-density condensates [4].


References:

1. V.S. Bagnato et al., Bose-Einstein condensation: Twenty Years After, Rom. Rep. Phys. 67, 1, 5 (2015).

2. A.I. Nicolin and R. Carretero-González, Nonlinear dynamics of Bose-condensed gases by means of a q-Gaussian variational approach, Physica A 387, 24, 6032 (2008).

3. A.I. Nicolin and M.C. Raportaru, Faraday waves in high-density cigar-shaped Bose-Einstein condensates, Physica A 389, 21, 4663 (2010).

4.L. Salasnich, Generalized nonpolynomial Schrödinger equations for matter waves under anisotropic transverse confinement, J. Phys. A – Math. Theor. 42, 33, 335205 (2009)



Acknowledgement:
The work of M.C. Raportaru and A. I. Nicolin is funded by Romanian Ministry of Education through project PN 19060205/2019.