# 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…

## 10 Citations

Spin Dynamics and Andreev-Bashkin Effect in Mixtures of One-Dimensional Bose Gases.

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The nondissipative drag effect, resulting from the Andreev-Bashkin current-current interaction between the two components of the gas, is quantified and it is shown that in the regime of strong coupling it causes a significant suppression of the spin-wave velocity.

High-order exceptional points in ultracold Bose gases

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We show that arbitrarily-high-order exceptional points (EPs) can be achieved in a repulsively interacting two-species Bose gas in one dimension. By exactly solving the non-Hermitian two-boson…

Partial Fermionization: Spectral Universality in 1D Repulsive Bose Gases.

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The crossover from an ideal Bose gas to the strongly correlated, fermionized gas exhibits universal behavior, and the method provides predictions for excitation spectra that enable access to finite-temperature thermodynamics in large parameter ranges.

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- 2019

We study interacting ultracold atoms in a three-dimensional (3D) harmonic trap with spin-selective dissipations, which can be effectively described by non-Hermitian parity-time ($\mathcal{PT}$)…

Universality and Quantum Criticality of the One-Dimensional Spinor Bose Gas.

- PhysicsPhysical review letters
- 2018

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.

- PhysicsReports on progress in physics. Physical Society
- 2019

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.

Dispersion relation of a polaron in the Yang-Gaudin Bose gas

- PhysicsPhysical Review A
- 2022

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…

Exact result for the polaron mass in a one-dimensional Bose gas

- PhysicsPhysical Review A
- 2021

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.…

Light cone dynamics in excitonic states of two-component Bose and Fermi gases

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2020

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…

Correlation functions of one-dimensional strongly interacting two-component gases

- PhysicsPhysical Review A
- 2019

We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes…

## References

Quantum Inverse Scattering Method and Correlation Functions

- Physics, Mathematics
- 1993

One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral…