一致矩阵积态的线性张成

IF 0.9 3区物理与天体物理 Q2 MATHEMATICS Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-04-21 DOI:10.3842/SIGMA.2022.099

Claudia De Lazzari, Harshit J. Motwani, Tim Seynnaeve

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引用次数: 4

摘要

一致矩阵积态的变化在代数几何中作为维罗内塞变化的自然推广而出现，在量子多体物理中作为放置在环上的位置的平移不变系统的模型而出现。利用线性代数、表示理论和矩阵不变理论的方法，研究了这一种类的线性张成空间。

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The Linear Span of Uniform Matrix Product States

The variety of uniform matrix product states arises both in algebraic geometry as a natural generalization of the Veronese variety, and in quantum many-body physics as a model for a translation-invariant system of sites placed on a ring. Using methods from linear algebra, representation theory, and invariant theory of matrices, we study the linear span of this variety.

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来源期刊

Symmetry Integrability and Geometry-Methods and Applications 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Scope Geometrical methods in mathematical physics Lie theory and differential equations Classical and quantum integrable systems Algebraic methods in dynamical systems and chaos Exactly and quasi-exactly solvable models Lie groups and algebras, representation theory Orthogonal polynomials and special functions Integrable probability and stochastic processes Quantum algebras, quantum groups and their representations Symplectic, Poisson and noncommutative geometry Algebraic geometry and its applications Quantum field theories and string/gauge theories Statistical physics and condensed matter physics Quantum gravity and cosmology.