Phase separation of two-component Bose–Einstein condensates with monopolar interaction

2017 ◽  
Vol 31 (23) ◽  
pp. 1750215 ◽  
Author(s):  
Long Zhu ◽  
Jinbin Li

This paper analyzes the properties of the two-component Bose–Einstein condensates (BECs) with long-range monopolar interaction by means of Thomas–Fermi approximation (TFA). The effects of long-range monopolar interaction, inter-component short-range s-wave scattering, and particle numbers on the density profiles and phase separation of BECs are investigated. It is shown that atoms with the small intra-component s-wave scattering length are squeezed out when the monopolar interaction of these atoms is not large enough, and the density profile will be compressed when corresponding monopolar interaction is increased. Effective zero interaction point that the s-wave scattering repulsive interaction is neutralized by monopolar attractive interaction, is found. Varying of particle numbers will cause the transformation between phase separation and faint phase separation (or mixture).

2018 ◽  
Vol 32 (09) ◽  
pp. 1850021
Author(s):  
Wei Wang ◽  
Jinbin Li

Using Crank–Nicolson method, we calculate ground state wave functions of two-component dipolar Bose–Einstein condensates (BECs) and show that, due to dipole–dipole interaction (DDI), the condensate mixture displays anisotropic phase separation. The effects of DDI, inter-component s-wave scattering, strength of trap potential and particle numbers on the density profiles are investigated. Three types of two-component profiles are present, first cigar, along z-axis and concentric torus, second pancake (or blood cell), in xy-plane, and two non-uniform ellipsoid, separated by the pancake and third two dumbbell shapes.


2007 ◽  
Vol 21 (23n24) ◽  
pp. 4265-4270 ◽  
Author(s):  
GUANGJIONG DONG

We briefly review our recent work on spatial tuning of Bose-Einstein condensation (BEC). We first study spatially periodic tuning of the s-wave scattering length for controlling the propagation of a BEC matter wave, and find matter wave limiting processing and bistability. Second, we show that a stable BEC with natural attractive interaction could be formed by tuning the s -wave scattering length with a Gaussian optical field, but the condensed atom number should be less than a critical value. Further, we apply Thomas-Fermi approximation to obtain a formula for this critical value.


2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Peter Jeszenszki ◽  
Alexander Yu. Cherny ◽  
Joachim Brand

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 957
Author(s):  
Martino Calzavara ◽  
Luca Salasnich

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.


2009 ◽  
Vol 80 (2) ◽  
Author(s):  
R. Navarro ◽  
R. Carretero-González ◽  
P. G. Kevrekidis

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