scholarly journals Dark-soliton dynamics in a two-species Bose–Einstein condensate with the external potential and thermal cloud effects

2013 ◽  
Vol 408 (2) ◽  
pp. 816-828 ◽  
Author(s):  
Bo Qin ◽  
Bo Tian ◽  
Tao Xu ◽  
Li-Cai Liu
Keyword(s):  
Dark Soliton ◽  
Einstein Condensate ◽  
External Potential ◽  
Soliton Dynamics ◽  
Bose Einstein Condensate ◽  
Bose Einstein

The modulation of soliton dynamics in Bose–Einstein condensate by a double square well potential

2014 ◽  
Vol 28 (31) ◽  
pp. 1450222 ◽  
Author(s):  
Zhi-Qiang Zhang ◽  
Tie-Zhu Yang ◽  
Shu-Sheng Meng ◽  
Wei-Xi Zhang
Keyword(s):  
Multiple Scale ◽  
Dark Soliton ◽  
Initial Position ◽  
Einstein Condensate ◽  
Multiple Scale Method ◽  
Scale Method ◽  
Soliton Dynamics ◽  
Bose Einstein Condensate ◽  
Square Well ◽  
Bose Einstein

By using multiple-scale method, we analytically study the soliton dynamics of Bose–Einstein condensate (BEC) trapped in a double square well potential. It is shown that dark soliton can be stable, which is generated in BEC trapped in a double square well. The amplitude and the width of dark soliton are related to the initial position of the soliton. Within the double square well, because of the confinement of the potential, the amplitude of the dark soliton is larger, while the width of the dark soliton is smaller. Furthermore, we also find that the amplitude and the width of the soliton are closely related to the depth of the double square well. With the increase of the depth, the amplitude of the dark soliton increases remarkably, while the width of the dark soliton decreases slowly.

scholarly journals Two distinguishable impurities in BEC: squeezing and entanglement of two Bose polarons

2019 ◽  
Vol 6 (1) ◽  
Author(s):  
Christos Charalambous ◽  
Miguel A. Garcia-March ◽  
Aniello Lampo ◽  
Mohammad Mehboud ◽  
Maciej Lewenstein
Keyword(s):  
Sudden Death ◽  
Stochastic Equations ◽  
Einstein Condensate ◽  
Time Limit ◽  
External Potential ◽  
Harmonic Potential ◽  
Bose Einstein Condensate ◽  
Brownian Particles ◽  
Bose Einstein ◽  
Asymptotic Time

We study entanglement and squeezing of two uncoupled impurities immersed in a Bose-Einstein condensate. We treat them as two quantum Brownian particles interacting with a bath composed of the Bogoliubov modes of the condensate. The Langevin-like quantum stochastic equations derived exhibit memory effects. We study two scenarios: (i) In the absence of an external potential, we observe sudden death of entanglement; (ii) In the presence of an external harmonic potential, entanglement survives even at the asymptotic time limit. Our study considers experimentally tunable parameters.

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