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

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