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Entanglement of Exact Excited Eigenstates of the Hubbard Model in Arbitrary Dimension

by Oskar Vafek, Nicolas Regnault, B. Andrei Bernevig

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Submission summary

As Contributors: Oskar Vafek
Arxiv Link: http://arxiv.org/abs/1608.06639v3
Date accepted: 2017-12-12
Date submitted: 2017-12-05
Submitted by: Vafek, Oskar
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Quantum Physics

Abstract

We compute exactly the von Neumann entanglement entropy of the eta-pairing states - a large set of exact excited eigenstates of the Hubbard Hamiltonian. For the singlet eta-pairing states the entropy scales with the logarithm of the spatial dimension of the (smaller) partition. For the eta-pairing states with finite spin magnetization density, the leading term can scale as the volume or as the area-times-log, depending on the momentum space occupation of the Fermions with flipped spins. We also compute the corrections to the leading scaling. In order to study the eigenstate thermalization hypothesis (ETH), we also compute the entanglement Renyi entropies of such states and compare them with the corresponding entropies of thermal density matrix in various ensembles. Such states, which we find violate strong ETH, may provide a useful platform for a detailed study of the time-dependence of the onset of thermalization due to perturbations which violate the total pseudospin conservation.

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Publication decision taken: accept


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