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Chinese Physics Letters

One-Dimensional Two-Component Bosons with Attractive Interaction

张秋兰

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

Bethe-ansatz 方法被用来就否定联合常数而言与一个 δ-function 潜力解决一个维的二部件的波色子部分。与 Minoru Takahashi 的绳假设，扎根的状态的特征和这个模型的低激动的状态被分析、数字的方法明确地讨论。特别为 N = 2 系统，二个波色子是对是明显的，并且独立于联合常数的扎根的状态应该是铁磁性的。

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Bethe-ansatz 方法被用来就否定联合常数而言与一个 δ-function 潜力解决一个维的二部件的波色子部分。与 Minoru Takahashi 的绳假设，扎根的状态的特征和这个模型的低激动的状态被分析、数字的方法明确地讨论。特别为 N = 2 系统，二个波色子是对是明显的，并且独立于联合常数的扎根的状态应该是铁磁性的。
The Bethe-ansatz method is used to solve one-dimensional two-component bosons with a δ-function potential considering the negative coupling constant part. With the string hypothesis of Minoru Takahashi, the features of the ground state and low-lying excited states of this model are discussed explicitly by analytical and numerical methods. Especially for a N = 2 system, the two bosons being pairs is obvious, and the ground state which is independent of the coupling constant should be ferromagnetic.
In this paper, we solve one-dimensional SU (3) bosons with repulsive δ-function interaction using the Bethe ansatz method. The features of the ground and low-lying excited states are studied by both numerical and analytical methods. We show that the ground state is a SU (3) colour ferromagnetic state. The configurations of quantum numbers for the ground state are given explicitly. For a finite N system, the spectra of low-lying excitations and the dispersion relations of four possible elementary particles (holon, antiholon, σ-coloron and ω-coloron) are obtained by solving the Bethe ansatz equation numerically. The thermodynamic equilibrium of the system at finite temperature is studied by using the strategy of the thermodynamic Bethe ansatz; we give a revised Gaudin–Takahashi equation which is useful for the numerical method. Thermodynamic quantities, such as specific heat, are obtained for some special cases. We find that the magnetic property of the model in the high-temperature regime is dominated by Curie's law, χ ∝ 1/ T , and the system has Fermi-liquid-like specific heat in the strong coupling limit at low temperature.