article · Physical review. B./Physical review. B · 2017

Operator entanglement entropy of the time evolution operator in chaotic systems

Cited by 116Open access

Abstract

Entanglement entropy is a widely applicable indicator of the onset of quantum chaos. In particular, the entanglement entropy of the wave function after a quench from an initial state with low entanglement can be used to study the thermalization of the system. Here, the authors propose an initial-state independent quantity called the ``operator entanglement entropy'' (opEE) to extract the properties of the unitary evolution operator. They study the growth of the opEE in Floquet, chaotic, and many-body localized systems. They respectively have a linear, power-law, and logarithmic growth before reaching extensive saturation values. The most chaotic Floquet spin model has the maximal saturation value among the three classes and is identical to the value of a random unitary operator (the Page value). The authors interpret the opEE as the state EE of a quenched state living in a doubled Hilbert space, thus establishing its consistency with the existing state EE results. They conclude that the EE of the evolution operator should characterize the propagation of information in these systems.

Cite this paper

APA 7

Zhou, T., & Luitz, D. J. (2017). Operator entanglement entropy of the time evolution operator in chaotic systems. Physical review. B./Physical review. B, 95(9). https://doi.org/10.1103/physrevb.95.094206

MLA 9

Zhou, Tianci, and David J. Luitz. “Operator entanglement entropy of the time evolution operator in chaotic systems.” Physical review. B./Physical review. B, vol. 95, no. 9, 2017, https://doi.org/10.1103/physrevb.95.094206.

Chicago

Zhou, Tianci, and David J. Luitz. 2017. “Operator entanglement entropy of the time evolution operator in chaotic systems.” Physical review. B./Physical review. B 95 (9). https://doi.org/10.1103/physrevb.95.094206.

Harvard

Zhou, T. and Luitz, D.J. (2017) ‘Operator entanglement entropy of the time evolution operator in chaotic systems’, Physical review. B./Physical review. B, 95(9). Available at: https://doi.org/10.1103/physrevb.95.094206.

BibTeX

@article{zhou2017operator,
  title = {{Operator entanglement entropy of the time evolution operator in chaotic systems}},
  author = {Zhou, Tianci and Luitz, David J.},
  journal = {Physical review. B./Physical review. B},
  volume = {95},
  number = {9},
  year = {2017},
  doi = {10.1103/physrevb.95.094206}
}

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