Volume Law and Quantum Criticality in the Entanglement Entropy of Excited Eigenstates of the Quantum Ising Model - INSPIRE

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Volume Law and Quantum Criticality in the Entanglement Entropy of Excited Eigenstates of the Quantum Ising Model

Lev Vidmar
(
- Stefan Inst., Ljubljana and
- Santa Barbara, KITP
)
,
Lucas Hackl
(
)
,
Eugenio Bianchi
(
- Penn State U. and
- Penn State U., University Park, IGC
)
,
Marcos Rigol
(
- Santa Barbara, KITP and
- Penn State U.
)

Aug 27, 2018

6 pages

Published in:

Phys.Rev.Lett. 121 (2018) 22, 220602

Published: Nov 29, 2018

e-Print:

1808.08963 [cond-mat.stat-mech]

DOI:

10.1103/PhysRevLett.121.220602

View in:

ADS Abstract Service

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Abstract: (APS)

Much has been learned about universal properties of entanglement entropies in ground states of quantum many-body lattice systems. Here we unveil universal properties of the average bipartite entanglement entropy of eigenstates of the paradigmatic quantum Ising model in one dimension. The leading term exhibits a volume-law scaling that we argue is universal for translationally invariant quadratic models. The subleading term is constant at the critical field for the quantum phase transition and vanishes otherwise (in the thermodynamic limit); i.e., the critical field can be identified from subleading corrections to the average (over all eigenstates) entanglement entropy.

Note:

6+1 pages, 5 figures, as published

General Physics: Statistical and Quantum Mechanics, Quantum Information, etc.
entropy: entanglement
dimension: 1
Ising model
critical phenomena
many-body problem
thermodynamical
ground state

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Figures(5)

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