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One-dimensional multicomponent fermions with delta-function interaction in strong- and weak-coupling limits: kappa-component Fermi gas
Guan, XW; 马中骐;Ma, ZQ; Wilson, B
2012
发表期刊PHYSICAL REVIEW A
卷号85期号:3页码:33633
摘要We derive the first few terms of the asymptotic expansion of the Fredholm equations for one-dimensional kappa-component fermions with repulsive and attractive delta-function interaction in strong- and weak-coupling regimes. We thus obtain a highly accurate result for the ground-state energy of a multicomponent Fermi gas with polarization for these regimes. This result provides a unified description of the ground-state properties of the Fermi gas with higher spin symmetries. However, in contrast to the two-component Fermi gas, there does not exist a mapping that can unify the two sets of Fredholm equations as the interacting strength vanishes. Moreover, we find that the local pair-correlation functions shed light on the quantum statistic effects of the kappa-component interacting fermions. For the balanced spin case with repulsive interaction, the ground-state energy obtained confirms Yang and You's result [Chin. Phys. Lett. 28, 020503 (2011)] that the energy per particle as kappa -> infinity is the same as for spinless Bosons.
学科领域Optics; Physics
DOI10.1103/PhysRevA.85.033633
收录类别SCI
WOS记录号WOS:000301915400006
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被引频次:9[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/224527
专题理论物理室
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Guan, XW,马中骐;Ma, ZQ,Wilson, B. One-dimensional multicomponent fermions with delta-function interaction in strong- and weak-coupling limits: kappa-component Fermi gas[J]. PHYSICAL REVIEW A,2012,85(3):33633.
APA Guan, XW,马中骐;Ma, ZQ,&Wilson, B.(2012).One-dimensional multicomponent fermions with delta-function interaction in strong- and weak-coupling limits: kappa-component Fermi gas.PHYSICAL REVIEW A,85(3),33633.
MLA Guan, XW,et al."One-dimensional multicomponent fermions with delta-function interaction in strong- and weak-coupling limits: kappa-component Fermi gas".PHYSICAL REVIEW A 85.3(2012):33633.
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