Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
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DOI：
10.1103/physrevb.86.045123
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发表时间：
2012-04
影响因子：
3.7
通讯作者：
R. Santos;F. N. C. Paraan;V. Korepin
中科院分区：
文献类型：
--
作者：
R. Santos;F. N. C. Paraan;V. Korepin
研究了一个一维多组分任意子模型，当统计参数为零时，该模型化为一个不可穿透玻色子的多组分Lieb-Liniger气体（Tonks-Girardeau气体）。在固定的组分密度下，坐标Bethe变换给出了一个在统计参数特定值下的量子相变族。我们发现，基态能量的变化广泛的不同阶段之间。研究了一些特殊的区域，给出了转捩点的一般分类。提出了一种解释的统计复合颗粒。
We study a one-dimensional multicomponent anyon model that reduces to a multicomponent Lieb-Liniger gas of impenetrable bosons (Tonks-Girardeau gas) for vanishing statistics parameter. At fixed component densities, the coordinate Bethe ansatz gives a family of quantum phase transitions at special values of the statistics parameter. We show that the ground state energy changes extensively between different phases. Special regimes are studied and a general classification for the transition points is given. An interpretation in terms of statistics of composite particles is proposed.