Coherence Dispersion and Temperature Scales in a Quantum-Biology Toy Model

• URL: http://arxiv.org/abs/2512.12342v1
• Date: Sat, 13 Dec 2025 14:21:34 GMT
• Title: Coherence Dispersion and Temperature Scales in a Quantum-Biology Toy Model
• Authors: Fernando Parisio,
• Abstract summary: We investigate how quantum coherence can scatter among the several off-diagonal elements of an arbitrary quantum state.<n>By focusing on out-of-equilibrium systems, we use the developed framework to address a simplified model of cellular energetics.
• Score: 51.56484100374058
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we investigate how quantum coherence can scatter among the several off-diagonal elements of an arbitrary quantum state, defining coherence dispersion ($Δ_{\rm c}$). It turns out that this easily computable quantity is maximized for intermediate values of an appropriate entropy, a prevalent signature of complexity quantifiers across different fields, from linguistics and information science to evolutionary biology. By focusing on out-of-equilibrium systems, we use the developed framework to address a simplified model of cellular energetics, involving remanent coherence. Within the context of this model, the precise energy of 30.5 kJ/mol (the yield of ATP-ADP conversion) causes the temperature range where $Δ_{\rm c}$ is maximized to be compatible with temperatures for which unicellular life is reported to exist. Low levels of coherence suffice to support this conclusion.

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