超越经典奇异吸引子的Lindbladian量子混沌
Lindbladian quantum chaos beyond classical strange attractors
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中文总结 AI 辅助
本研究在双耦合自旋耗散系统中发现，即使经典动力学只有稳定吸引子，瞬态混沌也能引发Liouvillian量子混沌，表现为谱统计转变和模式数增加，并改进Grobe-Haake-Sommers猜想。
中文摘要 AI 辅助
我们研究了一个由两个耦合集体自旋组成的耗散系统中经典混沌与量子混沌之间的联系。尽管经典动力学具有稳定的不动点吸引子，但我们在弛豫前的瞬态动力学中发现了明显的混沌特征。在量子模型中，这种瞬态混沌伴随着Liouvillian谱相关部分向随机矩阵统计的转变，以及贡献于物理可观测量期望值的Liouvillian模式数量的显著增加。该转变发生在稳定不动点消失且混沌吸引子出现的分岔之前。我们的结果表明，Liouvillian量子混沌可以与瞬态经典混沌相关联，而非必须要求混沌渐近吸引子，并提供了对Grobe-Haake-Sommers猜想的改进。
英文摘要
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.
发表机构
- Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University（查理大学数学物理学院粒子与核物理研究所）
- Grupo Interdisciplinar de Sistemas Complejos (GISC), Universidad Complutense de Madrid（马德里康普顿斯大学复杂系统跨学科小组(GISC)）
- Departamento de Estructura de la Materia, Física Térmica y Electrónica, Universidad Complutense de Madrid（马德里康普顿斯大学物质结构、热学和电子学系）
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