Dark solitons in the unitary Bose gas

Autor: Calzavara, M., Salasnich, L.
Rok vydání: 2020
Předmět:
Zdroj: Symmetry 12, 957 (2020)
Druh dokumentu: Working Paper
DOI: 10.3390/sym12060957
Popis: We study the dilute and ultracold unitary Bose gas, which is 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 Schr\"odinger equation (1D NPSE) for the axial dynamics which, however, takes also into account the transverse dynamics. Finally, by solving the 1D NPSE we obtain meaningful analytical formulas for the dark (gray and black) solitons of the bosonic system.
Comment: 13 pages, 4 figures, improved version
Databáze: arXiv