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Journal Article

Pseudo Entropy in Free Quantum Field Theories

MPS-Authors

Mollabashi,  Ali
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Shiba,  Noburo
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Takayanagi,  Tadashi
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Tamaoka,  Kotaro
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Wei,  Zixia
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

External Resource

https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.126.081601
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Citation

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.


Cite as: https://hdl.handle.net/21.11116/0000-000A-1BD2-B
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.