Continuous spontaneous localization from the white-noise limit of spontaneous unitarity violation

• URL: http://arxiv.org/abs/2405.01077v2
• Date: Fri, 20 Dec 2024 09:55:41 GMT
• Title: Continuous spontaneous localization from the white-noise limit of spontaneous unitarity violation
• Authors: Aritro Mukherjee, Jasper van Wezel,
• Abstract summary: Colored noise driven collapse theories extend the equilibrium description of spontaneous symmetry breaking to spontaneous violations of unitarity. We show that this limit coincides with a subclass of continuous spontaneous localization (CSL) models. We also extend this model to a form that can be applied to any initial state.
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• Abstract: Objective collapse theories propose modifications to Schr\"odinger's equation that solve the quantum measurement problem by interpolating between microscopic quantum dynamics and projective evolution of macroscopic objects. Colored noise driven collapse theories extending the equilibrium description of spontaneous symmetry breaking to spontaneous violations of unitarity (SUV) in quantum dynamics were recently shown to possess a Markovian white noise limit when applied to initial two-state superpositions. Here, we show that this limit coincides with a subclass of continuous spontaneous localization (CSL) models. We also extend this model to a form that can be applied to any initial state. We show that as for the SUV models, the emergence of Born rule statistics in the Markovian limit is enforced by a fluctuation-dissipation relation which results in ensemble averaged probability densities following a linear quantum semi-group guaranteeing the absence of superluminal signaling.

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