Lindbladian quantum chaos beyond classical strange attractors
Abstract
We investigate the connection between classical and quantum chaos in a dissipative system of two coupled collective spins. Although the classical dynamics possesses a stable fixed-point attractor, we find pronounced signatures of chaos in the transient dynamics preceding relaxation. In the quantum model, such transient chaos is accompanied by a transition to random-matrix statistics in the relevant part of the Liouvillian spectrum and by a qualitative increase in the number of Liouvillian modes contributing to expectation values of physical observables. The transition occurs before the bifurcation at which the stable fixed point disappears and a chaotic attractor emerges. Our results show that Liouvillian quantum chaos can be associated with transient classical chaos, rather than requiring a chaotic asymptotic attractor, and provide a refinement of the Grobe-Haake-Sommers conjecture.
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BibTeX
@misc{corps2026lindbladian,
title = {{Lindbladian quantum chaos beyond classical strange attractors}},
author = {Ángel L. Corps and Armando Relaño},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18464},
eprint = {2609.18464},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18464},
}
RIS
TY - UNPB
TI - Lindbladian quantum chaos beyond classical strange attractors
AU - Ángel L. Corps
AU - Armando Relaño
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.18464
UR - https://arxiv.org/abs/2609.18464
AB - We investigate the connection between classical and quantum chaos in a dissipative system of two coupled collective spins. Although the classical dynamics possesses a stable fixed-point attractor, we find pronounced signatures of chaos in the transient dynamics preceding relaxation. In the quantum model, such transient chaos is accompanied by a transition to random-matrix statistics in the relevant part of the Liouvillian spectrum and by a qualitative increase in the number of Liouvillian modes contributing to expectation values of physical observables. The transition occurs before the bifurcation at which the stable fixed point disappears and a chaotic attractor emerges. Our results show that Liouvillian quantum chaos can be associated with transient classical chaos, rather than requiring a chaotic asymptotic attractor, and provide a refinement of the Grobe-Haake-Sommers conjecture.
ER -