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  Pseudo Entropy in Free Quantum Field Theories

Mollabashi, A., Shiba, N., Takayanagi, T., Tamaoka, K., & Wei, Z. (2021). Pseudo Entropy in Free Quantum Field Theories. Physical Review Letters, 126, 081601. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-203.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-1BD2-B Version Permalink: https://hdl.handle.net/21.11116/0000-000A-1BD3-A
Genre: Journal Article

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https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.126.081601 (Any fulltext)
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 Creators:
Mollabashi, Ali1, Author
Shiba, Noburo1, Author
Takayanagi, Tadashi1, Author
Tamaoka, Kotaro1, Author
Wei, Zixia1, Author
Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Field Theory
 Abstract: Pseudo entropy is an interesting quantity with a simple gravity dual, which generalizes entanglement entropy such that it depends on both an initial and a final state. Here we reveal the basic properties of pseudo entropy in quantum field theories by numerically calculating this quantity for a set of two-dimensional free scalar field theories and the Ising spin chain. We extend the Gaussian method for pseudo entropy in free scalar theories with two parameters: mass m and dynamical exponent z. This computation finds two novel properties of Pseudo entropy which we conjecture to be universal in field theories, in addition to an area law behavior. One is a saturation behavior and the other one is non-positivity of the difference between pseudo entropy and averaged entanglement entropy. Moreover, our numerical results for the Ising chain imply that pseudo entropy can play a role as a new quantum order parameter which detects whether two states are in the same quantum phase or not.

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 Dates: 2021
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: Other: MPP-2020-203
URI: https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-203
arXiv: arxiv:2011.09648
URI: https://inspirehep.net/literature/1831393
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Title: Physical Review Letters
  Abbreviation : Phys.Rev.Lett.
Source Genre: Journal
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Pages: - Volume / Issue: 126 Sequence Number: - Start / End Page: 081601 Identifier: -