scholarly journals Expansion dynamics of a two-component quasi-one-dimensional Bose–Einstein condensate: Phase diagram, self-similar solutions, and dispersive shock waves

2017 ◽  
Vol 124 (4) ◽  
pp. 546-563 ◽  
Author(s):  
S. K. Ivanov ◽  
A. M. Kamchatnov
Keyword(s):  
Phase Diagram ◽  
Shock Waves ◽  
Einstein Condensate ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Condensate Phase ◽  
Two Component ◽  
Self Similar ◽  
Similar Solutions ◽  
Bose Einstein

scholarly journals Control of anomalous diffusion of a Bose polaron

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 232
Author(s):  
Christos Charalambous ◽  
Miguel Ángel García-March ◽  
Gorka Muñoz-Gil ◽  
Przemysław Ryszard Grzybowski ◽  
Maciej Lewenstein
Keyword(s):  
Anomalous Diffusion ◽  
Coupling Strength ◽  
Rabi Frequency ◽  
Einstein Condensate ◽  
The Other ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Coherent Coupling ◽  
Two Component ◽  
Bose Einstein

We study the diffusive behavior of a Bose polaron immersed in a coherently coupled two-component Bose-Einstein Condensate (BEC). We assume a uniform, one-dimensional BEC. Polaron superdiffuses if it couples in the same manner to both components, i.e. either attractively or repulsively to both of them. This is the same behavior as that of an impurity immersed in a single BEC. Conversely, the polaron exhibits a transient nontrivial subdiffusive behavior if it couples attractively to one of the components and repulsively to the other. The anomalous diffusion exponent and the duration of the subdiffusive interval can be controlled with the Rabi frequency of the coherent coupling between the two components, and with the coupling strength of the impurity to the BEC.

Sonic horizon formation for coupled one-dimensional Bose–Einstein condensate in an elongated harmonic potential

2018 ◽  
Vol 32 (29) ◽  
pp. 1850352
Author(s):  
Ying Wang ◽  
Shuyu Zhou
Keyword(s):  
Expansion Method ◽  
Einstein Condensate ◽  
Wave Functions ◽  
Harmonic Potential ◽  
Pitaevskii Equation ◽  
Two Component System ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Two Component ◽  
Bose Einstein

We theoretically studied the sonic horizon formation problem for coupled one-dimensional Bose–Einstein condensate trapped in an external elongated harmonic potential. Based on the coupled (1[Formula: see text]+[Formula: see text]1)-dimensional Gross–Pitaevskii equation and F-expansion method under Thomas–Fermi formulation, we derived analytical wave functions of a two-component system, from which the sonic horizon’s occurrence criteria and location were derived and graphically demonstrated. The theoretically derived results of sonic horizon formation agree pretty well with that from the numerically calculated values.

scholarly journals A Convergent Three-Step Numerical Method to Solve a Double-Fractional Two-Component Bose–Einstein Condensate

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1412
Author(s):  
Adán J. Serna-Reyes ◽  
Jorge E. Macías-Díaz ◽  
Nuria Reguera
Keyword(s):  
Fractional Derivatives ◽  
Numerical Solutions ◽  
Einstein Condensate ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Nonlinear Parabolic ◽  
Complex Functions ◽  
Two Component ◽  
The One ◽  
Bose Einstein

This manuscript introduces a discrete technique to estimate the solution of a double-fractional two-component Bose–Einstein condensate. The system consists of two coupled nonlinear parabolic partial differential equations whose solutions are two complex functions, and the spatial fractional derivatives are interpreted in the Riesz sense. Initial and homogeneous Dirichlet boundary data are imposed on a multidimensional spatial domain. To approximate the solutions, we employ a finite difference methodology. We rigorously establish the existence of numerical solutions along with the main numerical properties. Concretely, we show that the scheme is consistent in both space and time as well as stable and convergent. Numerical simulations in the one-dimensional scenario are presented in order to show the performance of the scheme. For the sake of convenience, A MATLAB code of the numerical model is provided in the appendix at the end of this work.

Localization of a two-component Bose–Einstein condensate in a one-dimensional random potential

2015 ◽  
Vol 459 ◽  
pp. 6-11 ◽  
Author(s):  
Kui-Tian Xi ◽  
Jinbin Li ◽  
Da-Ning Shi
Keyword(s):  
Random Potential ◽  
Einstein Condensate ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Two Component ◽  
Bose Einstein

Exact Floquet states of a two-component Bose–Einstein condensate induced by a laser standing wave

2006 ◽  
Vol 39 (49) ◽  
pp. 15061-15071 ◽  
Author(s):  
Haiming Deng ◽  
Wenhua Hai ◽  
Qianquan Zhu
Keyword(s):  
Standing Wave ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Two Component ◽  
Bose Einstein ◽  
Floquet States

scholarly journals Dynamics of a strongly driven two-component Bose-Einstein condensate

2002 ◽  
Vol 65 (3) ◽  
Author(s):  
G. L. Salmond ◽  
C. A. Holmes ◽  
G. J. Milburn
Keyword(s):  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Two Component ◽  
Bose Einstein
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