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Updated: Jun 20, 2026
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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Entanglement production in the Sachdev-Ye-Kitaev model and its variants
Tanay Pathak1,2, Masaki Tezuka2
1Kyoto University, Yukawa Institute for Theoretical Physics, Center for Gravitational Physics and Quantum Information, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.
Physical Review. E
|June 19, 2026
Summary
This study explores quantum entanglement in Sachdev-Ye-Kitaev (SYK) models. Different SYK variants show distinct entanglement growth rates, revealing insights into quantum chaos and scrambling dynamics.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- High Energy Physics
Background:
- Quantum chaotic systems exhibit complex dynamics.
- Entanglement entropy is a key measure of quantum correlations.
- The Sachdev-Ye-Kitaev (SYK) model is a solvable model of quantum chaos.
Purpose of the Study:
- Investigate entanglement generation in different SYK model variants.
- Analyze the impact of system parameters on entanglement growth and saturation.
- Distinguish between classes of quantum chaotic behavior using entanglement dynamics.
Main Methods:
- Utilized von Neumann entanglement entropy to quantify entanglement.
- Studied three variants of the SYK model with a finite number of Majorana fermions (N).
- Analyzed the two-point autocorrelation function to probe thermalization properties.
Main Results:
- All SYK variants showed linear entanglement growth at early times, saturating to a universal value at late times.
- Entanglement growth rates differed among variants, attributed to large-N effects and operator nonlocality.
- Differences in entanglement dynamics became apparent with increasing N, serving as a fine-grained probe of scrambling.
- Deviations from random matrix theory (RMT) predictions were observed in autocorrelation functions for N≥24.
Conclusions:
- Entanglement production rate offers a nuanced measure of quantum scrambling beyond conventional methods.
- The study highlights how variations in SYK models influence entanglement dynamics and scrambling.
- Findings provide insights into the microscopic chaotic dynamics and thermalization properties of quantum systems.
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