Correspondence between many-particle excitations and the entanglement spectrum of disordered ballistic one-dimensional systems

Abstract

Using exact diagonalization for non-interacting systems and density matrix renormalization group for interacting systems we show that Li and Haldane's conjecture on the correspondence between the low-lying many-particle excitation spectrum and the entanglement spectrum holds for disordered ballistic one-dimensional many-particle systems. In order to demonstrate the correspondence we develop a computational efficient way to calculate the ES of low-excitation of non-interacting systems. We observe and explain the presence of an unexpected shell structure in the excitation structure. The low-lying shell are robust and survive even for strong electron-electron interactions.

arXiv comment6 pages 4 figures

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• Quantum entanglement in condensed matter systems
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• Entanglement and Disordered-Enhanced Topological Phase in the Kitaev Chain
• Entanglement and Majorana edge states in the Kitaev model
• $Q$-Deformed Rainbows: a Universal Simulator of Free Entanglement Spectra