Density profile diagrams of harmonically trapped two-component Bose–Einstein condensates

2019 ◽  
Vol 34 (02) ◽  
pp. 2050024
Author(s):  
Liang Ji ◽  
Wen Wen
Keyword(s):  
Density Profile ◽  
Analytical Study ◽  
Collective Modes ◽  
Density Profiles ◽  
Experimental Parameters ◽  
Two Component ◽  
Bose Einstein ◽  
Explicit Expressions

We present an analytical study for density profiles of two-component Bose–Einstein condensates (BECs) in an isotropic trap within the miscible regime. The analytical equations for the density profiles and the conditions for three different density configurations are presented, which allow us to explore the density profile diagrams of general two-component BECs depending on broad ranges of experimental parameters. Furthermore, we show that the obtained explicit expressions of the density profiles can also be applied to study the collective modes of the two-component BECs, and the frequencies of the two-component BECs clearly characterize the density configurations.

scholarly journals Collective modes of vortex lattices in two-component Bose–Einstein condensates under synthetic gauge fields

2019 ◽  
Vol 21 (1) ◽  
pp. 015001 ◽  
Author(s):  
Takumi Yoshino ◽  
Shunsuke Furukawa ◽  
Sho Higashikawa ◽  
Masahito Ueda
Keyword(s):  
Collective Modes ◽  
Gauge Fields ◽  
Vortex Lattices ◽  
Two Component ◽  
Synthetic Gauge Fields ◽  
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

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 Miscibility Regimes in a 23Na–39K Quantum Mixture

2021 ◽  
Vol 11 (19) ◽  
pp. 9099
Author(s):  
Emmanuel Gutierrez ◽  
Gustavo de Oliveira ◽  
Kilvia Farias ◽  
Vanderlei Bagnato ◽  
Patricia Castilho
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Species Interactions ◽  
Atom Number ◽  
Classical Fluids ◽  
Experimental Parameters ◽  
Two Component ◽  
Immiscible Phase ◽  
Bose Einstein

The effects of miscibility in interacting two-component classical fluids are relevant in a broad range of daily applications. When considering quantum systems, two-component Bose–Einstein condensates provide a well-controlled platform where the miscible–immiscible phase transition can be completely characterized. In homogeneous systems, this phase transition is governed only by the competition between intra- and inter-species interactions. However, in more conventional experiments dealing with trapped gases, the pressure of the confinement increases the role of the kinetic energy and makes the system more miscible. In the most general case, the miscibility phase diagram of unbalanced mixtures of different atomic species is strongly modified by the atom number ratio and the different gravitational sags. Here, we numerically investigate the ground-state of a 23Na–39K quantum mixture for different interaction strengths and atom number ratios considering realistic experimental parameters. Defining the spatial overlap between the resulting atomic clouds, we construct the phase diagram of the miscibility transition which could be directly measured in real experiments.

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.

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