Gap solitons of a super-Tonks?Girardeau gas in a one-dimensional periodic potential
@article{Xu2013GapSO, title={Gap solitons of a super-Tonks?Girardeau gas in a one-dimensional periodic potential}, author={T. F. Xu and X. L. Jing and Haiwen Luo and C. S. Liu}, journal={Journal of Physics B}, year={2013}, volume={46}, pages={035301} }
Motivated by the recent experimental realization of a super-Tonks?Girardeau (STG) gas (Haller et?al 2009 Science 325 1224), we study in detail the existence and stability of gap solitons of the STG gas in a one-dimensional optical lattice. In particular, we explore the composition relationship of various gap solitons and nonlinear Bloch waves, taking into account the interplay between the periodic potential and the nonlinear interaction. The analysis of the linear stability indicates that…
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References
SHOWING 1-10 OF 54 REFERENCES
Stability limits for gap solitons in a Bose-Einstein condensate trapped in a time-modulated optical lattice
- Physics
- 2006
We investigate stability of gap solitons GSs in the first two band gaps in the framework of the onedimensional Gross-Pitaevskii equation, combining the repulsive nonlinearity and a moderately strong…
Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak- to the strong-interaction limits
- Physics
- 2011
We study the gap solitons and nonlinear Bloch waves of interacting bosons in one-dimensional optical lattices, taking into account the interaction from the weak to the strong limits. It is shown that…
Composition relation between gap solitons and Bloch waves in nonlinear periodic systems.
- PhysicsPhysical review letters
- 2009
We show with numerical computation and analysis that Bloch waves, at either the center or edge of the Brillouin zone, of a one dimensional nonlinear periodic system can be regarded as infinite chains…
Composition Relation between Gap Solitons and Bloch Waves in Nonlinear Periodic Systems
- Physics
- 2009
We show with numerical computation and analysis that Bloch waves, at either the center or edge of the Brillouin zone, of a one dimensional nonlinear periodic system can be regarded as infinite chains…
Local Correlations in the Super Tonks-Girardeau Gas
- Physics
- 2011
We study the local correlations in the super Tonks-Girardeau gas, a highly excited, strongly correlated state obtained in quasi-one-dimensional Bose gases by tuning the scattering length to large…
Truncated-Bloch-wave solitons in optical lattices
- Physics, Mathematics
- 2009
We study self-trapped localized nonlinear states in the form of truncated Bloch waves in one-dimensional optical lattices, which appear in the gaps of the linear band-gap spectrum. We demonstrate the…
Transition from a Tonks-Girardeau gas to a super-Tonks-Girardeau gas as an exact many-body dynamics problem
- Physics
- 2010
We investigate transition of a one-dimensional interacting Bose gas from a strongly repulsive regime to a strongly attractive regime, where a stable highly excited state known as the super…
Wave functions of the super-Tonks-Girardeau gas and the trapped one-dimensional hard-sphere Bose gas
- Physics
- 2010
Recent theoretical and experimental results demonstrate a close connection between the super-Tonks-Girardeau (STG) gas and a one-dimensional (1D) hard-sphere Bose (HSB) gas with hard-sphere diameter…
Beyond the Tonks-Girardeau gas: strongly correlated regime in quasi-one-dimensional Bose gases.
- PhysicsPhysical review letters
- 2005
The behavior of the correlation functions and of the frequency of the lowest breathing mode for harmonically trapped systems shows that the gas is more strongly correlated than in the Tonks-Girardeau regime.
Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases
- Physics
- 2010
We investigate transition of a one-dimensional interacting Bose gas from a strongly repulsive regime to a strongly attractive regime, where a stable highly excited state known as the super…