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Open Quantum Systems Decoherence

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

arXiv
Authors: Fabricio Toscano, Sergey Sergeev

Year

2025

Paper ID

16372

Status

Preprint

Abstract Read

~2 min

Abstract Words

76

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • We refine a fluctuation-dissipation framework for quantum dynamical semigroups to resolve a long-standing ambiguity in Markovian master equations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.01840 [2] arXiv https://arxiv.org/abs/2512.01840 [3] Publisher https://arxiv.org/abs/2512.01840

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