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Eigenvalues and Low Energy Eigenvectors of Quantum Many-Body Systems
[article]

2012
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arXiv
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pre-print

I first give an overview of the thesis and Matrix Product States (MPS) representation of quantum spin chains with an improvement on the conventional notation. The rest of this thesis is divided into two parts. The first part is devoted to eigenvalues of quantum many-body systems (QMBS). I introduce Isotropic Entanglement, which draws from various tools in random matrix theory and free probability theory (FPT) to accurately approximate the eigenvalue distribution of QMBS on a line with generic

arXiv:1211.4908v1
fatcat:bg42moy5wnapxgnvmyeh5hw3yu