scholarly journals Dark Solitons in the Unitary Bose Gas

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 957
Author(s):  
Martino Calzavara ◽  
Luca Salasnich
Keyword(s):  
Wave Scattering ◽  
Scattering Length ◽  
Bose Gas ◽  
Hydrodynamic Equations ◽  
S Wave ◽  
Universal Equation ◽  
One Dimensional ◽  
Dark Solitons ◽  
Harmonic Confinement ◽  
Analytical Formulas

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.

scholarly journals Condensate Density of a Bose Gas Confined between Two Parallel Plates in Canonical Ensemble within Improved Hartree-Fock Approximation

2020 ◽  
Vol 36 (4) ◽  
Author(s):  
Nguyen Van Thu
Keyword(s):  
Wave Scattering ◽  
Particle Number ◽  
Canonical Ensemble ◽  
Scattering Length ◽  
Bose Gas ◽  
Parallel Plates ◽  
S Wave ◽  
Condensate Density ◽  
Hartree Fock ◽  
Dilute Bose Gas

By means of Cornwall-Jackiw-Tomboulis (CJT) effective action approach, the condensate density of a dilute Bose gas is investigated in the canonical ensemble. Our results show that the condensate density is proportional to a half-integer power law of the s-wave scattering length and distance between two plates. Apart from that, these quantities also depend on the particle number and area of each plate.

scholarly journals s -wave scattering length of a Gaussian potential

2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Peter Jeszenszki ◽  
Alexander Yu. Cherny ◽  
Joachim Brand
Keyword(s):  
Wave Scattering ◽  
Scattering Length ◽  
S Wave ◽  
Gaussian Potential

scholarly journals Quantum dark solitons in the one-dimensional Bose gas

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Sophie S. Shamailov ◽  
Joachim Brand
Keyword(s):  
Bose Gas ◽  
One Dimensional ◽  
Dark Solitons ◽  
The One

The n-n S-wave scattering length from the neutron spectra of the reaction π− +d → 2n+γ

1975 ◽  
Vol 254 (2) ◽  
pp. 241-268 ◽  
Author(s):  
R.M. Salter ◽  
R.P. Haddock ◽  
M. Zeller ◽  
D.R. Nygren ◽  
J.B. Czirr
Keyword(s):  
Wave Scattering ◽  
Scattering Length ◽  
S Wave ◽  
Neutron Spectra
Sign in / Sign up

Export Citation Format

Share Document