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

被引：72

作者：

Vafek, Oskar ^{[1
,2
,3
]}

Regnault, Nicolas ^{[1
,4
]}

Bernevig, B. Andrei ^{[1
]}

机构：

[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

[2] Florida State Univ, Natl High Magnet Field Lab, Tallahassee, FL 32306 USA

[3] Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA

[4] Univ Paris Diderot, Sorbonne Univ, Univ Pierre & Marie Curie,CNRS,Sorbonne Paris Cit, Lab Pierre Aigrain,Ecole Normale Super,PSL Res Un, 24 Rue Lhomond, F-75231 Paris 05, France

来源：

SCIPOST PHYSICS | 2017年 / 3卷 / 06期

关键词：

QUANTUM-STATISTICAL-MECHANICS; LONG-RANGE ORDER; THERMALIZATION; STATE;

D O I：

10.21468/SciPostPhys.3.6.043

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：21