An extended Agassi model: algebraic structure, phase diagram, and large size limit

Garcia-Ramos J. E.; Dukelsky J.; Perez-Fernandez P.; Arias J. M.

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An extended Agassi model: algebraic structure, phase diagram, and large size limit

机译：扩展Agassi模型：代数结构，相图和大尺寸限制

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The Agassi model (Agassi 1968 Nucl. Phys. A 116 49) is a schematic two-level model that involves pairing and monopole-monopole interactions. It is, therefore, an extension of the well known Lipkin-Meshkov-Glick model (Lipkin et al 1965 Nucl. Phys. 62 188). In this paper we review the algebraic formulation of an extension of the Agassi model as well as its bosonic realization through the Schwinger representation. Moreover, a mean-field approximation for the model is presented and its phase diagram discussed. Finally, a 1/j analysis, with j proportional to the degeneracy of each level, is worked out to obtain the thermodynamic limit of the ground state energy and some order parameters from the exact Hamiltonian diagonalization for finite-j.

机译：AGASSI模型（AGASSI 1968 NUCL。物理。一个116 49）是一种涉及配对和单极 - 单极相互作用的示意性两级模型。因此，众所周知的Lipkin-Meshkov-Glick模型的延伸（Lipkin等人1965 Nucl。物理。62 188）。在本文中，我们审查了AGASSI模型的延伸的代数制定以及通过Schwinger表示的振动性实现。此外，介绍了模型的平均场近似及其相图。最后，使用J的1 / J分析与每个级别的退化成比例，得到了从精确的Hamiltonian对角化的地面状态能量和某些订单参数进行有限-J的热力学限制。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2019年第4期|共9页
作者
Garcia-Ramos J. E.; Dukelsky J.; Perez-Fernandez P.; Arias J. M.;
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作者单位

Univ Huelva Dept Ciencias Integradas E-21071 Huelva Spain;

CSIC Inst Estruct Mat Serrano 123 E-28006 Madrid Spain;

Univ Granada Inst Carlos 1 Fis Teor &

Computac Fuentenueva S-N E-18071 Granada Spain;

Univ Granada Inst Carlos 1 Fis Teor &

Computac Fuentenueva S-N E-18071 Granada Spain;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Agassi model; quantum phase transition; phase diagram; 1/N expansion;

机译：Agassi模型;量子相变;相图;1 / N扩展;

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An extended Agassi model: algebraic structure, phase diagram, and large size limit

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