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Eigenstate Entanglement: Crossover from the Ground State to Volume Laws

Publication ,  Journal Article
Miao, Q; Barthel, T
Published in: Physical Review Letters
July 23, 2021

For the typical quantum many-body systems that obey the eigenstate thermalization hypothesis (ETH), we argue that the entanglement entropy of (almost) all energy eigenstates is described by a single crossover function. The ETH implies that the crossover functions can be deduced from subsystem entropies of thermal ensembles and have universal properties. These functions capture the full crossover from the ground-state entanglement regime at low energies and small subsystem size (area or log-area law) to the extensive volume-law regime at high energies or large subsystem size. For critical one-dimensional systems, a universal scaling function follows from conformal field theory and can be adapted for nonlinear dispersions. We use it to also deduce the crossover scaling function for Fermi liquids in d>1 dimensions. The analytical results are complemented by numerics for large noninteracting systems of fermions in d≤3 dimensions and have also been confirmed for bosonic systems and nonintegrable spin chains.

Duke Scholars

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Published In

Physical Review Letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

July 23, 2021

Volume

127

Issue

4

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Miao, Q., & Barthel, T. (2021). Eigenstate Entanglement: Crossover from the Ground State to Volume Laws. Physical Review Letters, 127(4). https://doi.org/10.1103/PhysRevLett.127.040603
Miao, Q., and T. Barthel. “Eigenstate Entanglement: Crossover from the Ground State to Volume Laws.” Physical Review Letters 127, no. 4 (July 23, 2021). https://doi.org/10.1103/PhysRevLett.127.040603.
Miao Q, Barthel T. Eigenstate Entanglement: Crossover from the Ground State to Volume Laws. Physical Review Letters. 2021 Jul 23;127(4).
Miao, Q., and T. Barthel. “Eigenstate Entanglement: Crossover from the Ground State to Volume Laws.” Physical Review Letters, vol. 127, no. 4, July 2021. Scopus, doi:10.1103/PhysRevLett.127.040603.
Miao Q, Barthel T. Eigenstate Entanglement: Crossover from the Ground State to Volume Laws. Physical Review Letters. 2021 Jul 23;127(4).

Published In

Physical Review Letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

July 23, 2021

Volume

127

Issue

4

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences