Non-equilibrium thermodynamics of collapse models in the strongly non-Gaussian regime

• URL: http://arxiv.org/abs/2606.06259v1
• Date: Thu, 04 Jun 2026 15:04:07 GMT
• Title: Non-equilibrium thermodynamics of collapse models in the strongly non-Gaussian regime
• Abstract summary: We show that a dissipative Disi-Penrose (dDP) model induces complex, non-Gaussian phase-space dynamics.<n>We rigorously establish the thermodynamic consistency of this friction mechanism across both weakly and strongly non-Gaussian regimes.<n>Our analysis reveals that the system subjected to the dDP mechanism does not thermalize, but rather settles into a non-equilibrium steady-state.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Standard objective collapse models offer a unified approach to the quantum measurement problem but predict an unphysical, indefinite increase in the energy of the system. The dissipative Diósi-Penrose (dDP) model resolves this heating issue by introducing a linear friction mechanism. However, this modification induces complex, non-Gaussian phase-space dynamics. We rigorously establish the thermodynamic consistency of this friction mechanism -- extended to the CSL model -- across both weakly and strongly non-Gaussian regimes. Using the Wigner phase-space formalism, we go significantly beyond the quadratic approximation and, to bypass the failure of perturbative methods under strong dissipation, introduce a novel exact pseudo-spectral simulation approach. Our analysis reveals that the system subjected to the dDP mechanism does not thermalize, but rather settles into a non-equilibrium steady-state (NESS) where the asymptotic non-Gaussianity scales as the third power of the dissipation parameter $β$. By evaluating the Wigner entropy production, we confirm the thermodynamic validity of the model and demonstrate that highly sensitive information-theoretic quantities require exact numerical methods to accurately capture the key non-Gaussian tails of the distribution.

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