Two component interacting bosons: 1-d exact results

@article{Li2001TwoCI,
  title={Two component interacting bosons: 1-d exact results},
  author={You-Quan Li and Shi-jian Gu and Zu‐Jian Ying and Ulrich Eckern},
  journal={arXiv: Strongly Correlated Electrons},
  year={2001}
}
Motivated by the experiment of two-component Bose-Einstein condensates produced in magnetically trapped $^{87}Rb$, we study one dimensional Boson systems with repulsive $\delta$-function interaction in the presence of SU(2) intrinsic degree of freedom by means of coordinate Bethe ansatz. The ground state and low-lying excitations are solved by both numerical and analytical methods. It is shown that the ground state is an isospin-ferromagnetic state and the excitations are composed of three… 
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10 Citations
Background Citations
2
Methods Citations
2

10 Citations

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TLDR
In the Tonks-Girardeau regime, the universal contact develops a pronounced minimum, reflected in a counterintuitive narrowing of the momentum distribution as the authors increase the temperature, which signals the transition from the ferromagnetic to the spin-incoherent Luttinger liquid phase.
One-dimensional mixtures of several ultracold atoms: a review.
TLDR
The recent advances on trapped Bose-Fermi mixtures are described, which allow for a theoretical combination of previous concepts, well illustrating the importance of quantum statistics and inter-particle interactions.
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We study a one-dimensional Bose gas with two internal states described by the Yang-Gaudin model and calculate analytically the dispersion relation of a polaron quasiparticle, which is the lowest…
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We study the polaron quasiparticle in a one-dimensional Bose gas. In the integrable case described by the Yang-Gaudin model, we derive an exact result for the polaron mass in the thermodynamic limit.…
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We consider the non-equilibrium dynamics of two-component one dimensional quantum gases in the limit of extreme population imbalance where the minority species has but a single particle. We consider…
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References

Quantum Inverse Scattering Method and Correlation Functions
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