A Fluctuation-Dissipation Structure of Quantum Dynamical Semigroups Reveals a Unique Internal Hamiltonian

• URL: http://arxiv.org/abs/2512.01840v1
• Date: Mon, 01 Dec 2025 16:25:42 GMT
• Title: A Fluctuation-Dissipation Structure of Quantum Dynamical Semigroups Reveals a Unique Internal Hamiltonian
• Authors: Fabricio Toscano, Sergey Sergeev,
• Abstract summary: We refine a fluctuation-dissipation framework for quantum dynamical semigroups.<n>For finite-dimensional systems, we prove that the underlying diffusion-dissipation structure is invariant under Lindblad generator symmetries.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We refine a fluctuation-dissipation framework for quantum dynamical semigroups to resolve a long-standing ambiguity in Markovian master equations. For finite-dimensional systems, we prove that the underlying diffusion-dissipation structure - rooted in a classical Markov process analogy - is invariant under Lindblad generator symmetries. This invariance uniquely identifies the internal Hamiltonian. Our framework provides a universal principle for objectively distinguishing coherent from incoherent parts of the dynamics, enabling an unambiguous determination of a system's inherent energy structure.

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