Title: Entanglement of exact excited eigenstates of the Hubbard model in arbitrary dimension

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 Rényi 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.

Authors:

Vafek, Oskar ^[1]; Regnault, Nicolas ^[2]; Bernevig, B. Andrei ^[3]

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+ Show Author Affiliations

1. Florida State University, National High Magnetic Field Laboratory, Princeton University
2. Sorbonne University, École Normale Supérieure, Princeton University
3. Princeton University

Publication Date:

Tue Dec 26 00:00:00 EST 2017

Sponsoring Org.:

USDOE

OSTI Identifier:

1414843

Grant/Contract Number:  

SC0016239

Resource Type:

Published Article

Journal Name:

SciPost Physics

Additional Journal Information:

Journal Name: SciPost Physics Journal Volume: 3 Journal Issue: 6; Journal ID: ISSN 2542-4653

Publisher:

Stichting SciPost

Country of Publication:

Netherlands

Language:

English