摘要翻译:
揭示了空间反射下量子多体系统的性质和重整化群(RG)过程的相关物理。利用矩阵乘积状态(MPS)表示,给出了与空间反射相关的平移不变系统的各种属性。随后,我们证明了反射MPS对在RG变换下的共轭关系的守恒规则,并进一步说明了RG流的不动点的性质。最后,我们证明了在密度矩阵重整化群算法中,对于目标态也存在类似的规则。
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英文标题:
《Spatial reflection and renormalization group flow of quantum many-body
systems with matrix product state representation》
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作者:
Li-Xiang Cen, Z. D. Wang
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:Quantum Physics 量子物理学
分类描述:Description coming soon
描述即将到来
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
The property of quantum many-body systems under spatial reflection and the relevant physics of renormalization group (RG) procedure are revealed. By virtue of the matrix product state (MPS) representation, various attributes for translational invariant systems associated with spatial reflection are manifested. We demonstrate subsequently a conservation rule of the conjugative relation for reflectional MPS pairs under RG transformations and illustrate further the property of the fixed points of RG flows. Finally, we show that a similar rule exists with respect to the target states in the density matrix renormalization group algorithm.
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PDF链接:
https://arxiv.org/pdf/707.4223


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