Dark Solitons in the Unitary Bose Gas

Dark Solitons in the Unitary Bose Gas

We study the dilute and ultracold unitary Bose gas, characterized by a universal equation of state due to the diverging s-wave scattering length, under a transverse harmonic confinement. From the hydrodynamic equations of superfluids we derive an effective one-dimensional nonpolynomial Schrödinger e...

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Main Authors: Martino Calzavara, Luca Salasnich
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Symmetry
Subjects:
Bose-Einstein condensate
unitary Bose gas
dark solitons
nonpolynomial Schrödinger equation
Online Access:https://www.mdpi.com/2073-8994/12/6/957
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spelling doaj-be3ebdbb77404d4faac3c1b675eee9b32020-11-25T03:53:15ZengMDPI AGSymmetry2073-89942020-06-011295795710.3390/sym12060957Dark Solitons in the Unitary Bose GasMartino Calzavara0Luca Salasnich1Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131 Padova, ItalyDipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131 Padova, ItalyWe study the dilute and ultracold unitary Bose gas, characterized by a universal equation of state due to the diverging s-wave scattering length, under a transverse harmonic confinement. From the hydrodynamic equations of superfluids we derive an effective one-dimensional nonpolynomial Schrödinger equation (1D NPSE) for the axial wavefunction which, however, also takes into account the transverse wavefunction. By solving the 1D NPSE we obtain meaningful analytical formulas for the dark (gray and black) solitons of the bosonic system.https://www.mdpi.com/2073-8994/12/6/957Bose-Einstein condensateunitary Bose gasdark solitonsnonpolynomial Schrödinger equation
collection DOAJ
language English
format Article
sources DOAJ
author Martino Calzavara
Luca Salasnich
spellingShingle Martino Calzavara
Luca Salasnich
Dark Solitons in the Unitary Bose Gas
Symmetry
Bose-Einstein condensate
unitary Bose gas
dark solitons
nonpolynomial Schrödinger equation
author_facet Martino Calzavara
Luca Salasnich
author_sort Martino Calzavara
title Dark Solitons in the Unitary Bose Gas
title_short Dark Solitons in the Unitary Bose Gas
title_full Dark Solitons in the Unitary Bose Gas
title_fullStr Dark Solitons in the Unitary Bose Gas
title_full_unstemmed Dark Solitons in the Unitary Bose Gas
title_sort dark solitons in the unitary bose gas
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-06-01
description We study the dilute and ultracold unitary Bose gas, characterized by a universal equation of state due to the diverging s-wave scattering length, under a transverse harmonic confinement. From the hydrodynamic equations of superfluids we derive an effective one-dimensional nonpolynomial Schrödinger equation (1D NPSE) for the axial wavefunction which, however, also takes into account the transverse wavefunction. By solving the 1D NPSE we obtain meaningful analytical formulas for the dark (gray and black) solitons of the bosonic system.
topic Bose-Einstein condensate
unitary Bose gas
dark solitons
nonpolynomial Schrödinger equation
url https://www.mdpi.com/2073-8994/12/6/957
work_keys_str_mv AT martinocalzavara darksolitonsintheunitarybosegas
AT lucasalasnich darksolitonsintheunitarybosegas
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