Matter wave solitons in coupled system with external potentials

Zhao, Li-Chen; He, ShaoLing

doi:10.1016/j.physleta.2011.06.034

Cited by 27 publications

(15 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(19) and (20) with λ given by Eq. (18), would evolve to the vector RWs with no other type nonlinear waves. From the ideal condition, one can know that the two vector RWs can not exist when the two backgrounds are relatively static.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Localized nonlinear waves in a two-mode nonlinear fiber

Zhao¹,

Liu²

2012

J. Opt. Soc. Am. B

Self Cite

127

121

View full text Add to dashboard Cite

We find that diverse nonlinear waves such as soliton, Akhmediev breather, and rogue waves, can emerge and interplay with each other in a two-mode coupled system. It provides a good platform to study interaction between different kinds of nonlinear waves. In particular, we obtain dark rogue waves analytically for the first time in the coupled system, and find that two rogue waves can appear in the temporal-spatial distribution. Possible ways to observe these nonlinear waves are discussed.

show abstract

Section: Discussionmentioning

confidence: 99%

“…It has been reported that the bright-bright(B-B), dark-dark(D-D), bright-dark(B-D) solitons can exist in different parameters regimes [14][15][16][17][18]. The bright-dark soliton dynamics have been observed experimentally in [19].…”

Section: Introductionmentioning

confidence: 99%

Localized nonlinear waves in a two-mode nonlinear fiber

Zhao¹,

Liu²

2012

J. Opt. Soc. Am. B

Self Cite

127

121

View full text Add to dashboard Cite

show abstract

“…From the relations between soliton and eigen-states in quantum well [10,11], we can know that bright-bright soliton and dark-dark soliton are degenerate solitons (more than one component admits the same spatial mode), bright-dark soliton and darkbright soliton are non-degenerate soliton states. However, the dark soliton state is a free state, and bright soliton usually admits no nodes [2,29,30]. This character is admitted by most of previous vector solitons in BECs systems.…”

Section: Introductionmentioning

confidence: 96%

“…The interactions between atoms are attractive for the above model, similar discussions can be done for repulsive interaction cases. With the aid of Darboux transformation (DT) [23][24][25][26] or Hirota method [27,28], many different vector solitons have been obtained in the two-component coupled BEC systems, such as the bright-bright soliton [2,29,30], the bright-dark soliton [4], the dark-dark soliton [6,7], and the dark-bright soliton [8,9]. From the relations between soliton and eigen-states in quantum well [10,11], we can know that bright-bright soliton and dark-dark soliton are degenerate solitons (more than one component admits the same spatial mode), bright-dark soliton and darkbright soliton are non-degenerate soliton states.…”

Section: Introductionmentioning

confidence: 99%

Nondegenerate bound-state solitons in multicomponent Bose-Einstein condensates

2019

Self Cite

View full text Add to dashboard Cite

We investigate non-degenerate bound state solitons systematically in multi-component Bose-Einstein condensates, through developing Darboux transformation method to derive exact soliton solutions analytically. In particular, we show that bright solitons with nodes correspond to the excited bound eigen-states in the self-induced effective quantum wells, in sharp contrast to the bright soliton and dark soliton reported before (which usually correspond to ground state and free eigenstate respectively). We further demonstrate that the bound state solitons with nodes are induced by incoherent interactions between solitons in different components. Moreover, we reveal that the interactions between these bound state solitons are usually inelastic, caused by the incoherent interactions between solitons in different components and the coherent interactions between solitons in same component. The bound state solitons can be used to discuss many different physical problems, such as beating dynamics, spin-orbital coupling effects, quantum fluctuations, and even quantum entanglement states.

show abstract

“…The explicit conditions for them are clarified based on the critical distance d c and spatial interference period D. The results here can be extended to three or more solitons cases and vector soliton system [25,[35][36][37].…”

Section: Conclusion and Discussionmentioning

confidence: 88%

Tunneling dynamics between atomic bright solitons

et al. 2017

Self Cite

View full text Add to dashboard Cite

We investigate tunneling behavior between two bright solitons in a Bose-Einstein condensate with attractive contact interactions between atoms. The explicit tunneling properties including tunneling particles and oscillation period are described analytically, which indicates that the periodic tunneling form is a nonlinear Josephson type oscillation. The results suggest that the breathing behavior of solitons comes from the tunneling mechanism in an effective double-well potential, which is quite different from the modulational instability mechanism for Akhmediev breather and K-M breather. Furthermore, we obtain a phase diagram for two soliton interaction which admits tunneling property, particle-like property, interference property, and a resonant interaction case. The explicit conditions for them are clarified based on the defined critical distance dc and spatial interference period D.

show abstract

Matter wave solitons in coupled system with external potentials

Cited by 27 publications

References 28 publications

Localized nonlinear waves in a two-mode nonlinear fiber

Localized nonlinear waves in a two-mode nonlinear fiber

Nondegenerate bound-state solitons in multicomponent Bose-Einstein condensates

Tunneling dynamics between atomic bright solitons

Contact Info

Product

Resources

About