Phase separation in spin-orbit-angular-momentum coupling Bose–Einstein condensate systems

2020 ◽  
Vol 34 (23) ◽  
pp. 2050241
Author(s):  
Jin Xu ◽  
Jinbin Li
Keyword(s):  
Angular Momentum ◽  
Phase Separation ◽  
Coupling Strength ◽  
Interaction Strength ◽  
Einstein Condensate ◽  
Three Dimensions ◽  
Pitaevskii Equation ◽  
Spin Orbit ◽  
Bose Einstein Condensate ◽  
Bose Einstein

We study the phase separation in three-component spin-orbit-angular-momentum coupled Bose–Einstein condensate with spin-1 in three dimensions. Different types of phase-separation are acquired upon an increase of the coupling strength, magnetic gradient strength, spin-dependent interaction strength and particle number above a critical value. Increasing the value of coupling strength and other related parameters shows distinct behaviors which are produced by repulsion for large strengths of spin-orbit angular-momentum (SOAM) coupling. The present investigation is carried out through a numerical Crank–Nicolson method of the underlying mean-field Gross–Pitaevskii equation.

scholarly journals BOSE–EINSTEIN CONDENSATE IN A QUARTIC POTENTIAL: STATIC AND DYNAMIC PROPERTIES

2011 ◽  
Vol 25 (29) ◽  
pp. 3927-3940 ◽  
Author(s):  
G. K. CHAUDHARY ◽  
AMIT K. CHATTOPADHYAY ◽  
R. RAMAKUMAR
Keyword(s):  
Chemical Potential ◽  
Numerical Solutions ◽  
Dynamic Properties ◽  
Bose Condensate ◽  
Einstein Condensate ◽  
Three Dimensions ◽  
Pitaevskii Equation ◽  
Quartic Potential ◽  
Bose Einstein Condensate ◽  
Bose Einstein

In this paper, we present a theoretical study of a Bose–Einstein condensate of interacting bosons in a quartic trap in one-, two- and three-dimensions. Using Thomas–Fermi approximation, suitably complemented by numerical solutions of the Gross–Pitaevskii equation, we study the ground-state condensate density profiles, the chemical potential, the effects of cross-terms in the quartic potential, temporal evolution of various energy components of the condensate and width oscillations of the condensate. Results obtained are compared with corresponding results for a bose condensate in a harmonic confinement.

Stability of the half-vortex in spin-orbit coupled Bose–Einstein condensate

2016 ◽  
Vol 30 (36) ◽  
pp. 1650423
Author(s):  
Rukuan Wu
Keyword(s):  
Numerical Simulation ◽  
Einstein Condensate ◽  
Pitaevskii Equation ◽  
Spin Orbit ◽  
Trap Center ◽  
Stripe Phase ◽  
Vortex Stability ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Multi Mode

The half-vortex stability of the stripe phase in spin-orbit (SO) coupled Bose–Einstein condensate (BEC) is discussed through the multi-mode theory. We find that when the energy of the Rabi coupling is close to zero, the half-vortex in the trap center is always dynamically stable; when the energy becomes larger, the vortex may be structurally unstable. Both of the results are confirmed by the numerical simulation of the full Gross–Pitaevskii equation.

scholarly journals Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium

Atoms ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 18
Author(s):  
Hiroyuki Tajima ◽  
Junichi Takahashi ◽  
Simeon Mistakidis ◽  
Eiji Nakano ◽  
Kei Iida
Keyword(s):  
Spectral Function ◽  
Einstein Condensate ◽  
Three Dimensions ◽  
Quantum Gas ◽  
Many Body ◽  
Bose Einstein Condensate ◽  
Spatial Dimensions ◽  
Three Body ◽  
Bose Einstein ◽  
The Impact

The notion of a polaron, originally introduced in the context of electrons in ionic lattices, helps us to understand how a quantum impurity behaves when being immersed in and interacting with a many-body background. We discuss the impact of the impurities on the medium particles by considering feedback effects from polarons that can be realized in ultracold quantum gas experiments. In particular, we exemplify the modifications of the medium in the presence of either Fermi or Bose polarons. Regarding Fermi polarons we present a corresponding many-body diagrammatic approach operating at finite temperatures and discuss how mediated two- and three-body interactions are implemented within this framework. Utilizing this approach, we analyze the behavior of the spectral function of Fermi polarons at finite temperature by varying impurity-medium interactions as well as spatial dimensions from three to one. Interestingly, we reveal that the spectral function of the medium atoms could be a useful quantity for analyzing the transition/crossover from attractive polarons to molecules in three-dimensions. As for the Bose polaron, we showcase the depletion of the background Bose-Einstein condensate in the vicinity of the impurity atom. Such spatial modulations would be important for future investigations regarding the quantification of interpolaron correlations in Bose polaron problems.

Inverted solitons in a spin-orbit-coupled Bose-Einstein condensate

2017 ◽  
Vol 392 ◽  
pp. 214-217 ◽  
Author(s):  
Huagang Li ◽  
Xing Zhu ◽  
Zhiwei Shi
Keyword(s):  
Einstein Condensate ◽  
Spin Orbit ◽  
Bose Einstein Condensate ◽  
Bose Einstein
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