Can spacetime fluctuations generate entanglement between co-moving accelerated detectors?

Can spacetime fluctuations generate entanglement between co-moving accelerated detectors?

Summary

This study investigates entanglement harvesting from vacuum fluctuations between two uniformly accelerated Unruh-DeWitt detectors in shifted Rindler frames, revealing that entanglement depends on acceleration and separation, and is robust against the shift length, providing insights into Planck-scale spacetime effects.

Highlights

  • Vacuum fluctuations spontaneously create entangled particle-antiparticle pairs.
  • Eternal interaction between detectors and fields avoids spurious transient effects.
  • Entanglement harvesting is possible even for causally disconnected detectors.
  • Swapping Rindler frames causes vacuum states to appear thermally populated.
  • The expectation value of the number operator is independent of the shift length ℓ (ℓ ≠ 0).
  • Entanglement increases monotonically with detector acceleration.
  • Planck-scale spacetime fluctuations influence observed entanglement features.

Key Insights

  • Vacuum Fluctuations as Entanglement Source: Vacuum fluctuations generate entangled pairs that two detectors can harvest, indicating that quantum vacuum itself is a resource for entanglement extraction.
  • Shifted Rindler Frames and Thermal Perception: Observers in shifted Rindler frames perceive the vacuum of preceding frames as thermally populated, linking entanglement to frame-dependent vacuum structure.
  • Independence from Shift Length: The entanglement and thermal response are stable against variations in the shift length ℓ (as long as ℓ ≠ 0), suggesting robustness of quantum correlations to small spacetime variations.
  • Acceleration-Driven Entanglement Enhancement: Larger accelerations of detectors enhance entanglement harvesting, reflecting how relativistic motion impacts quantum correlations.
  • Causal Disconnection and Entanglement: Even detectors without causal contact can become entangled through vacuum correlations, highlighting nonlocality in quantum field theory.
  • Planck-Scale Sensitivity: The effect potentially probes Planck-scale physics through minimal length scales influencing entanglement properties.
  • Operational Framework via Unruh-DeWitt Model: Utilizing the UDW particle detector framework offers a concrete method to analyze and quantify vacuum entanglement and harvesting in curved spacetime contexts.

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Citation

Barman, D., & Majhi, B. R. (2025). Can spacetime fluctuations generate entanglement between co-moving accelerated detectors? (Version 1). arXiv. http://doi.org/10.48550/ARXIV.2504.12674

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