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

Shaul Leiman; Ariel Eisenbach; Richard Berkovits

doi:10.1209/0295-5075/112/46003

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arXiv · 1507.06177

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

Shaul Leiman·Ariel Eisenbach·Richard Berkovits

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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.

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Shaul Leiman, Ariel Eisenbach, Richard Berkovits. 2015-07-22. Correspondence between many-particle excitations and the entanglement spectrum of disordered ballistic one-dimensional systems. https://doi.org/10.1209/0295-5075/112/46003

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