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PreprintCC BY 4.0arXiv

Entanglement-Inducing Quantum Markov Processes

  • J. Fransson
  • A. P. Sowa
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Abstract

We introduce a new model for a system of interacting bosons placed in an array of sites. At its core is a nonlinear, nonlocal evolution equation, which we have dubbed the Schrödinger-Dirichlet equation. The construction is closely related to the Bose-Hubbard model and to a specific type of generalized bosons. In contrast to conventional mean-field closures, the resulting nonlinear dynamics need not preserve product structure and can generate entanglement from initially separable states. The relevant methods of analysis are based on harmonic analysis for the multiplicative group of positive rationals.

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Cite

BibTeXRIS
BibTeX
@misc{fransson2026entanglementinducing,
  title = {{Entanglement-Inducing Quantum Markov Processes}},
  author = {J. Fransson and A. P. Sowa},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21438},
  eprint = {2609.21438},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21438},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Entanglement-Inducing Quantum Markov Processes
AU  - J. Fransson
AU  - A. P. Sowa
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21438
UR  - https://arxiv.org/abs/2609.21438
AB  - We introduce a new model for a system of interacting bosons placed in an array of sites. At its core is a nonlinear, nonlocal evolution equation, which we have dubbed the Schrödinger-Dirichlet equation. The construction is closely related to the Bose-Hubbard model and to a specific type of generalized bosons. In contrast to conventional mean-field closures, the resulting nonlinear dynamics need not preserve product structure and can generate entanglement from initially separable states. The relevant methods of analysis are based on harmonic analysis for the multiplicative group of positive rationals.
ER  -