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PreprintCC BY 4.0arXiv

Emergent Dissipation from Fluctuating Quantum-Network Topology

  • Alireza Nourmandipour
  • Stefano Mancini
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Abstract

We investigate how dissipation can emerge in a quantum network from temporal fluctuations of the interaction topology. For a network whose graph is redrawn at short time intervals, the averaged dynamics yields a Markovian master equation: the mean network fixes the coherent part and the covariance fixes the dissipative structure. The covariance eigenvalues set the noise strengths, while its eigenvectors determine the collective operators on which those strengths act. Two ensembles with identical mean adjacency and covariance spectra but different eigenvectors produce distinct dynamics despite identical purity. A physically realizable model yields an analytically predicted dissipative gap, giving quasi-protected dynamics. These results establish fluctuating connectivity as a resource for engineering quantum dissipation and protection.

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Cite

BibTeXRIS
BibTeX
@misc{nourmandipour2026emergent,
  title = {{Emergent Dissipation from Fluctuating Quantum-Network Topology}},
  author = {Alireza Nourmandipour and Stefano Mancini},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03194},
  eprint = {2610.03194},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03194},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Emergent Dissipation from Fluctuating Quantum-Network Topology
AU  - Alireza Nourmandipour
AU  - Stefano Mancini
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03194
UR  - https://arxiv.org/abs/2610.03194
AB  - We investigate how dissipation can emerge in a quantum network from temporal fluctuations of the interaction topology. For a network whose graph is redrawn at short time intervals, the averaged dynamics yields a Markovian master equation: the mean network fixes the coherent part and the covariance fixes the dissipative structure. The covariance eigenvalues set the noise strengths, while its eigenvectors determine the collective operators on which those strengths act. Two ensembles with identical mean adjacency and covariance spectra but different eigenvectors produce distinct dynamics despite identical purity. A physically realizable model yields an analytically predicted dissipative gap, giving quasi-protected dynamics. These results establish fluctuating connectivity as a resource for engineering quantum dissipation and protection.
ER  -