Quantum

Exact Temporal Criticalities of Entanglement and Negativity in Gaussian and Non-Gaussian Dissipative Kitaev Chains

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Briefings

The study identifies temporal criticalities in open Kitaev chains where entanglement and negativity gaps close simultaneously when parity sectors balance equally. In Gaussian states, this occurs at every rate, whereas weak imbalanced loss/gain shifts these points by occupation-dependent amounts, and strong dephasing delays them until the relaxation time. The research compares weak symmetry (parity-averaged) with strong symmetry (parity-respecting) dynamics to determine if symmetry dictates the criticality or Gaussianity.

Key points

• Temporal criticalities occur when two largest eigenvalues of entanglement or negativity meet, causing the corresponding gap to close while entropies remain smooth.

Context and limitations

Analysis covers Gaussian and non-Gaussian dynamics only; exact non-Gaussian solutions are limited to the point where bond terms commute. Results are preprint status with uncertainty regarding parity balance thresholds and dephasing rates.

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