Decoherence without einselection

• URL: http://arxiv.org/abs/2407.05074v3
• Date: Thu, 18 Jul 2024 03:58:22 GMT
• Title: Decoherence without einselection
• Authors: Xiao Zhang,
• Abstract summary: We show that einselection is actually artifacts resulting from the non-equilibrium dynamics of the apparatus. We propose a new formalism of operator dressing, which we call the matrix integral (SMI)
• Score: 3.6585412615899324
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Decoherence in a quantum measurement is typically explained as an interaction with the environment that destroys coherence between the system's eigenstates, a phenomenon known as environment-induced superselection (einselection). In this work, we demonstrate that einselection and the associated envariance are actually artifacts resulting from neglecting the non-equilibrium dynamics of the apparatus. We propose a new formalism of operator dressing, which we call the stochastic matrix integral (SMI), inspired by recent developments in quantum gravity algebras. This approach naturally arises from a modified Page-Wootters (PW) formula and describes decoherence as an interacting non-equilibrium process. It leads to the reduction of the Hilbert space and the emergence of an intrinsic non-unitary process as well as Born's rule. These outcomes are achieved without relying on the assumptions of einselection and pointer basis.

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