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Entanglement and Decoherence in Loop Quantum Gravity

Abstract : A quantum theory of gravitation aims at describing the gravitational interaction at every scales of energy and distance. However, understanding the emergence of our classical spacetime is still an open issue in many proposals. This thesis analyzes this problem in loop quantum gravity with tools borrowed from quantum information theory.This is done in several steps. Since loop quantum gravity is still under construction, a pragmatic point of view is advocated and an ansazt for physical states of the gravitational field is studied at first, motivated from condensed matter physics and simple intuitions. We analyze the proposal of reconstructing geometry from correlations. Lessons on the quantum dynamics and the Hamiltonian constraint are extracted. The second aspect of this work focuses on the physics of sub-systems and especially the physics of their boundary. We begin by calculating the entanglement entropy between the interior and the exterior of the region, recovering the holographic law known from classical black hole physics. Then different boundary dynamics are studied, both in the isolated and open cases, which shed lights again on the fundamental dynamics. Finally, the last aspect of this research studies the dynamics of the boundary interacting with an environment whose degrees of freedom (gravitational or matter) forming the rest of the Universe and especially the decoherence it induces. This allows to discuss the quantum to classical transition and understand, in a given model, the pointer states of geometry.
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Submitted on : Tuesday, November 28, 2017 - 10:55:44 AM
Last modification on : Wednesday, November 20, 2019 - 3:00:29 AM


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  • HAL Id : tel-01650029, version 1


Alexandre Feller. Entanglement and Decoherence in Loop Quantum Gravity. Quantum Physics [quant-ph]. Université de Lyon, 2017. English. ⟨NNT : 2017LYSEN058⟩. ⟨tel-01650029⟩



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