SciPost Submission Page
Entanglement of Exact Excited Eigenstates of the Hubbard Model in Arbitrary Dimension
by Oskar Vafek, Nicolas Regnault, B. Andrei Bernevig
This Submission thread is now published as
Submission summary
| Submission information |
| Preprint Link: |
http://arxiv.org/abs/1608.06639v3
(pdf)
|
| Date accepted: |
2017-12-12 |
| Date submitted: |
2017-12-05 01:00 |
| Submitted by: |
Vafek, Oskar |
| Submitted to: |
SciPost Physics |
| Ontological classification |
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Theory
- Quantum Physics
|
| Approach: |
Theoretical |
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.
Published as
SciPost Phys. 3, 043 (2017)
