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

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.