Anisotropic properties of phase separation in two-component dipolar Bose–Einstein condensates

2018 ◽  
Vol 32 (09) ◽  
pp. 1850021
Author(s):  
Wei Wang ◽  
Jinbin Li
Keyword(s):  
Phase Separation ◽  
Wave Scattering ◽  
Dipole Interaction ◽  
S Wave ◽  
Density Profiles ◽  
Two Component ◽  
Trap Potential ◽  
Scattering Strength ◽  
Bose Einstein ◽  
Anisotropic Phase

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.

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

2017 ◽  
Vol 31 (23) ◽  
pp. 1750215 ◽  
Author(s):  
Long Zhu ◽  
Jinbin Li
Keyword(s):  
Phase Separation ◽  
Long Range ◽  
Wave Scattering ◽  
Scattering Length ◽  
Repulsive Interaction ◽  
S Wave ◽  
Interaction Point ◽  
Density Profiles ◽  
Two Component ◽  
Bose Einstein

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).

scholarly journals A Time-Splitting and Sine Spectral Method for Dynamics of Dipolar Bose-Einstein Condensate

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Si-Qi Li ◽  
Xiang-Gui Li ◽  
Dong-Ying Hua
Keyword(s):  
Spectral Method ◽  
Dipole Interaction ◽  
Einstein Condensate ◽  
Time Dependent ◽  
Three Dimension ◽  
S Wave ◽  
Bose Einstein Condensate ◽  
Two Component ◽  
Time Splitting ◽  
Bose Einstein

A two-component Bose-Einstein condensate (BEC) described by two coupled a three-dimension Gross-Pitaevskii (GP) equations is considered, where one equation has dipole-dipole interaction while the other one has only the usual s-wave contact interaction, in a cigar trap. The time-splitting and sine spectral method in space is proposed to discretize the time-dependent equations for computing the dynamics of dipolar BEC. The singularity in the dipole-dipole interaction brings significant difficulties both in mathematical analysis and in numerical simulations. Numerical results are given to show the efficiency of this method.

scholarly journals Phase separation and dynamics of two-component Bose-Einstein condensates

2009 ◽  
Vol 80 (2) ◽  
Author(s):  
R. Navarro ◽  
R. Carretero-González ◽  
P. G. Kevrekidis
Keyword(s):  
Phase Separation ◽  
Two Component ◽  
Bose Einstein

scholarly journals Density profiles of two-component Bose–Einstein condensates interacting with a Laguerre–Gaussian beam

2018 ◽  
Vol 51 (13) ◽  
pp. 135003 ◽  
Author(s):  
Anal Bhowmik ◽  
Pradip Kumar Mondal ◽  
Sonjoy Majumder ◽  
Bimalendu Deb
Keyword(s):  
Gaussian Beam ◽  
Density Profiles ◽  
Two Component ◽  
Bose Einstein

scholarly journals MEAN-FIELD EXPANSION IN BOSE–EINSTEIN CONDENSATES WITH FINITE-RANGE INTERACTIONS

2006 ◽  
Vol 20 (24) ◽  
pp. 3555-3565 ◽  
Author(s):  
RALF SCHÜTZHOLD ◽  
MICHAEL UHLMANN ◽  
YAN XU ◽  
UWE R. FISCHER
Keyword(s):  
Wave Scattering ◽  
Particle Interaction ◽  
Mean Field ◽  
Finite Range ◽  
S Wave ◽  
Scattering Approximation ◽  
The Mean ◽  
Higher Order Corrections ◽  
Bose Einstein ◽  
The Impact

We present a formal derivation of the mean-field expansion for dilute Bose–Einstein condensates with two-particle interaction potentials which are weak and finite-range, but otherwise arbitrary. The expansion allows for a controlled investigation of the impact of microscopic interaction details (e.g. the scaling behavior) on the mean-field approach and the induced higher-order corrections beyond the s-wave scattering approximation.

S-Wave Scattering Parameters for Positronium-Positronium Interaction and Positronium Bose-Einstein Condensates

2001 ◽  
Vol 70 (6) ◽  
pp. 1549-1555 ◽  
Author(s):  
Kenji Oda ◽  
Takahiko Miyakawa ◽  
Hiroyuki Yabu ◽  
Toru Suzuki
Keyword(s):  
Wave Scattering ◽  
Scattering Parameters ◽  
S Wave ◽  
Bose Einstein
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