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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2020-06-01
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Online Access: | https://www.mdpi.com/2073-8994/12/6/957 |
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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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1724479200679690240 |