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arXiv · 2512.01840

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

Fabricio Toscano·Sergey Sergeev
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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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Fabricio Toscano, Sergey Sergeev. 2025-12-01. A Fluctuation-Dissipation Structure of Quantum Dynamical Semigroups Reveals a Unique Internal Hamiltonian. https://arxiv.org/abs/2512.01840

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