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arXiv · 2607.18407

(De)Coherence of a quantum system in an anti-de Sitter spacetime

Mandas Biswas·Anupam Mazumdar
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Abstract

In this paper, we study the coherence/decoherence of a quantum harmonic oscillator in anti-de Sitter (AdS) spacetime by quantising the graviton in a curved background with a nontrivial boundary condition. In the quantum-field-theory framework, we obtain a master equation by tracing away the gravitational field at the leading order in G and 1/omega^2, where omega is related to the trapped frequency of the harmonic oscillator. We will proceed with a semi-Markovian analysis to compute the Lindbladian equation and estimate the decoherence rate and selection rules at the leading order, which come in two kinds: one responsible for the local interaction between matter and graviton, and the other related to the AdS global curvature. The latter determines the recoherence of the quantum system for a certain choice of the trapped harmonic oscillator's frequency and the global curvature. We also demonstrate that we recover the flat spacetime limit by taking appropriate approximations.

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Mandas Biswas, Anupam Mazumdar. 2026-07-20. (De)Coherence of a quantum system in an anti-de Sitter spacetime. https://arxiv.org/abs/2607.18407

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