Exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions
文献类型：期刊论文
| 作者 | Gu, SJ ; Cao, JP ; Chen, S ; Lin, HQ |
| 刊名 | NUCLEAR PHYSICS B
 |
| 出版日期 | 2009 |
| 卷号 | 820期号:3页码:753 |
| 关键词 | NONLINEAR SCHRODINGER MODEL DELTA-FUNCTION INTERACTION INVERSE SCATTERING METHOD ALGEBRAIC BETHE ANSATZ INTERACTING BOSE-GAS TONKS-GIRARDEAU GAS MANY-BODY PROBLEM GROUND-STATE FINITE TEMPERATURE ELECTRONIC MODEL |
| ISSN号 | 0550-3213 |
| 通讯作者 | Cao, JP: Chinese Acad Sci, Beijing Natl Lab Condensed Matter Phys, Inst Phys, Beijing 100190, Peoples R China. |
| 中文摘要 | The exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions with delta-function interactions are studied. Some new sets of Bethe ansatz equations are obtained by using the graded nest quantum inverse scattering method. Many interesting features appear in the system. For example, the wave function has the SU(2 vertical bar 2) supersymmetry. It is also found that the ground state of the system is partial polarized, where the fermions form a spin singlet state and the bosons are totally polarized. From the solution of Bethe ansatz equations, it is shown that all the momentum, spin and isospin rapidities at the ground state are real if the interactions between the particles are repulsive; while the fermions form two-particle bounded states and the bosons form one large bound state, which means the bosons condensed at the zero momentum point, if the interactions are attractive. The charge, spin and isospin excitations are discussed in detail. The thermodynamic Bethe ansatz equations are also derived and their solutions at some special cases are obtained analytically. (C) 2009 Elsevier B.V. All rights reserved. |
| 收录类别 | SCI |
| 资助信息 | Research Grants Council of HKSAR, China [CUHK 402107, CUHK 401108]; NSF of China; MOST [2006CB921300]; C.N. Yang Foundation |
| 语种 | 英语 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iphy.ac.cn/handle/311004/37683]  |
| 专题 | 物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文 |
| 推荐引用方式 GB/T 7714 | Gu, SJ,Cao, JP,Chen, S,et al. Exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions[J]. NUCLEAR PHYSICS B,2009,820(3):753. |
| APA | Gu, SJ,Cao, JP,Chen, S,&Lin, HQ.(2009).Exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions.NUCLEAR PHYSICS B,820(3),753. |
| MLA | Gu, SJ,et al."Exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions".NUCLEAR PHYSICS B 820.3(2009):753. |
入库方式： OAI收割
来源：物理研究所
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