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Summary
The paper discusses environmental gravitational decoherence with higher derivative theory, focusing on the decoherence of a quantum system induced by interaction with gravitational degrees of freedom.
Highlights
- Gravitational decoherence in quantum systems is studied using a higher derivative theory.
- The deformation of a mass distribution due to gravitational waves naturally acquires a mass quadrupole moment.
- Higher derivatives in the dynamics lead to a system described by four canonical variables.
- The model focuses on the open dynamics of the quadrupole moment rather than individual particles.
- A quantum master equation is derived for the emerging quadrupole moment.
- The environment is considered a higher derivative theory of gravity.
- The paper explores the implications of higher derivatives on the unitary evolution of the system.
Key Insights
- The higher derivative theory leads to a significantly different interpretation of the decoherence basis, as the system is no longer described by the usual particle position and momentum operators.
- The fourth derivative term in the equation of motion is a distinct feature of gravitational interaction and cannot be ignored, even for weakly coupled systems.
- The model's focus on quadrupole dynamics allows for a simpler description of the system and highlights the importance of gravitational waves in generating a mass quadrupole moment.
- The derived quantum master equation reveals that both the amplitude and acceleration of the gravitational waves contribute to decoherence.
- The higher derivative theory requires a re-evaluation of the canonical variables, leading to a new set of operators that describe the system's dynamics.
- The paper's findings have implications for our understanding of gravitational decoherence and its role in the behavior of quantum systems.
- The study of gravitational decoherence using higher derivative theory offers a new perspective on the interplay between gravity and quantum mechanics.
Mindmap
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Citation
van Manen, L. M. (2024). Environmental gravitational decoherence with higher derivative theory (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.20929