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Gravitational Field effects on the Decoherence Process and the Quantum Speed Limit.

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Gravitational fields impact quantum decoherence and the quantum speed limit for spin-1/2 particles. Earth's gravity has a minimal effect unless particle speeds approach light speed.

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Area of Science:

  • Quantum physics
  • General relativity
  • Quantum information

Background:

  • The quantum-to-classical transition is a fundamental concept in quantum mechanics.
  • Decoherence and quantum speed limit are key indicators of this transition.
  • Gravitational fields are known to influence spacetime and physical phenomena.

Purpose of the Study:

  • To investigate the effect of spacetime curvature on quantum decoherence.
  • To analyze how gravitational fields influence the quantum speed limit.
  • To examine the impact of specific gravitational fields (Schwarzschild, anti-de Sitter, Rindler) on quantum particles with spin-1/2.

Main Methods:

  • Utilizing spinor transformations under local Lorentz transformations.
  • Adopting Schwarzschild and anti-de Sitter geometries to model gravitational fields.
  • Analyzing the Rindler spacetime to represent Earth's gravitational field.
  • Quantifying effects on decoherence and quantum speed limit.

Main Results:

  • Gravitational fields, including Schwarzschild and anti-de Sitter geometries, demonstrably affect both decoherence and the quantum speed limit for spin-1/2 particles.
  • The Earth's gravitational field, modeled by Rindler spacetime, shows a negligible impact on these quantum properties.
  • A significant effect of Earth's gravity is observed only when the quantum particle's mean speed approaches the speed of light.

Conclusions:

  • Spacetime curvature plays a role in the quantum-to-classical transition.
  • The influence of gravity on quantum systems is dependent on the strength of the field and particle velocity.
  • These findings have implications for understanding quantum phenomena in strong gravitational environments.