Note on the local calculation of decoherence of quantum superposition in the static black holes

• URL: http://arxiv.org/abs/2606.14178v1
• Date: Fri, 12 Jun 2026 07:01:45 GMT
• Title: Note on the local calculation of decoherence of quantum superposition in the static black holes
• Abstract summary: We investigate the decoherence of a quantum spatial superposition in Schwarzschild and Reissner-Nordstrm black holes.<n>We show that the decoherence behavior depends on the quantum state of the environmental field.<n>While the Boulware vacuum gives vanishing decoherence for a static superposition, the thermal effects associated with Hawking radiation in the Unruh and Hartle-Hawking vacua can induce nonvanishing decoherence.
• Score: 7.191710904725642
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the decoherence of a quantum spatial superposition of a static particle in Schwarzschild and Reissner-Nordström black holes. By treating the particle as a localized classical source coupled to a quantum scalar field, we reformulate the decoherence process in the Danielson-Satishchandran-Wald (DSW) gedankenexperiment through coherent state generation and derive the local expression for the decoherence functional in terms of the Wightman function. In the long-time limit, the decoherence rate is shown to be characterized by the low-frequency behavior of the Wightman function. We then employ the asymptotic matching method to calculate the analytical expressions of the Wightman functions in the Boulware, Unruh, and Hartle-Hawking vacua. We show that the decoherence behavior depends on the quantum state of the environmental field. While the Boulware vacuum gives vanishing decoherence for a static superposition, the thermal effects associated with Hawking radiation in the Unruh and Hartle-Hawking vacua can induce nonvanishing decoherence.

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