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arXiv · 1010.2739

Principle of Maximum Entropy and Ground Spaces of Local Hamiltonians

Jianxin Chen·Zhengfeng Ji·Mary Beth Ruskai·Bei Zeng·Duanlu Zhou
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Abstract

The structure of the ground spaces of quantum systems consisting of local interactions is of fundamental importance to different areas of physics. In this Letter, we present a necessary and sufficient condition for a subspace to be the ground space of a k-local Hamiltonian. Our analysis are motivated by the concept of irreducible correlations studied by [Linden et al., PRL 89, 277906] and [Zhou, PRL 101, 180505], which is in turn based on the principle of maximum entropy. It establishes a better understanding of the ground spaces of local Hamiltonians and builds an intimate link of ground spaces to the correlations of quantum states.

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Jianxin Chen, Zhengfeng Ji, Mary Beth Ruskai, Bei Zeng, Duanlu Zhou. 2010-10-13. Principle of Maximum Entropy and Ground Spaces of Local Hamiltonians. https://arxiv.org/abs/1010.2739

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