Dark energy from entanglement entropy

Abstract

We show that quantum decoherence, in the context of observational cosmology, can be connected to the cosmic dark energy. The decoherence signature could be characterized by the existence of quantum entanglement between cosmological eras. As a consequence, the Von Neumann entropy related to the entanglement process, can be compared to the thermodynamical entropy in a homogeneous and isotropic universe. The corresponding cosmological models are compatible with the current observational bounds being able to reproduce viable equations of state without introducing {\it a priori} any cosmological constant. In doing so, we investigate two cases, corresponding to two suitable cosmic volumes, $V\propto a^3$ and $V\propto H^{-3}$, and find two models which fairly well approximate the current cosmic speed up. The existence of dark energy can be therefore reinterpreted as a quantum signature of entanglement, showing that the cosmological constant represents a limiting case of a more complicated model derived from the quantum decoherence.

Accepted for publication in IJTP

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• Transition Probabilities in Generalized Quantum Search Hamiltonian Evolutions
• Information Geometric Complexity of Entropic Motion on Curved Statistical Manifolds under Different Metrizations of Probability Spaces
• Interacting Dark Energy and Its Implications for Unified Dark Sector
• Constructing an entangled state in Heisenberg picture for inflationary cosmology
• Holographic Entanglement Entropy for noncommutative Anti-de Sitter space