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高斯增强玻色矩阵乘积态:理论与应用

Gaussian-augmented bosonic matrix-product states: theory and applications

Erickson Tjoa, J. Ignacio Cirac

arXiv 2607.28753首次发表:更新:

AI 中文总结

该研究提出一类包含纯高斯态、有限维矩阵乘积态的玻色量子多体态,其期望值可高效计算且存在精确母哈密顿量,可用于变分计算等场景。

AI 中文摘要

我们提出并分析一类玻色量子多体态的结构,这类态具备以下特性:(i)包含所有纯高斯态和有限维矩阵乘积态作为子类;(ii)其期望值可高效计算,可用于变分计算等场景;(iii)存在由玻色产生和湮灭算子的简单函数表达的精确母哈密顿量。

英文摘要

We propose and analyze the structure of a family of bosonic quantum many-body states that have the following features: (i) they include all pure Gaussian states and finite-dimensional matrix-product states as subclasses; (ii) their expectation values can be efficiently computed, allowing them to be used, among other things, for variational calculations; (iii) they admit exact parent Hamiltonians expressed as simple functions of the bosonic creation and annihilation operators.

Comments14+10 pages, 1 figure

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