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Liouvillian exceptional points in the emergence of quantum synchronization — arXiv:2609.18867

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.18867
License (as archived): CC0-1.0
Archived: 2026-10-15T17:18:27.369Z
SHA-256 of the archived text: 46e37bfcfad695a50079131d44023c76f3d8787f0bf796cb1d552f31ff0e5e45
Stable URL of this page: https://metraipolis.com/documento/dc_de5266ce759d

How to cite

Liouvillian exceptional points in the emergence of quantum synchronization — arXiv:2609.18867 — arXiv (en), https://arxiv.org/abs/2609.18867 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_de5266ce759d (Metraipolis archive dc_de5266ce759d, sha256 46e37bfcfad695a50079131d44023c76f3d8787f0bf796cb1d552f31ff0e5e45)

BibTeX

@misc{dcde5266ce759d,
  title = {Liouvillian exceptional points in the emergence of quantum synchronization — arXiv:2609.18867},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.18867},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_de5266ce759d; sha256 46e37bfcfad695a50079131d44023c76f3d8787f0bf796cb1d552f31ff0e5e45},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.18867. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The coupling between self-sustained oscillators, such as lasers or polariton condensates, leads to different steady-states in different regimes. Weak coupling allows the oscillators to behave independently, with different frequencies and uncorrelated phases, while stronger coupling can produce synchronization. In classical or semiclassical theories transitions between these steady-states correspond to changes in the topology of the phase space attractors and occur at generalized exceptional points. We investigate the corresponding changes in a quantum theory of coupled lasers or condensates. We show how the different steady-state regimes of the classical limit give rise to distinct forms for the spectra and eigenmatrices of the slow modes of the Liouvillian. By following the spectral flow between the different regimes we show that the synchronization transition is controlled by cascades of exceptional points in these slow modes, protected by a generalized PT symmetry. Our results show how singularities of the quantum Liouvillian control the different dynamical regimes, and give rise to experimental signatures of the synchronization transition which remain well-defined in the few-particle regime dominated by quantum effects.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-17 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Optics (physics.optics).
Pagina del lavoro: https://arxiv.org/abs/2609.18867 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-15T16:20:45.878Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-17?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).