连续尺度不变性的自发破缺与驱动-耗散谐振子中的类埃菲莫夫动力学
Spontaneous breaking of continuous scale invariance and Efimovian-like dynamics in a driven-dissipative harmonic oscillator
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中文总结 AI 辅助
该研究在简单驱动-耗散谐振子中揭示了连续尺度不变性的自发破缺，产生类埃菲莫夫振荡，且无需强关联或多体相互作用。
中文摘要 AI 辅助
埃菲莫夫效应通过三体束缚态的几何级数展现了离散尺度不变性。类似的离散尺度对称性已在尺度不变的强相互作用费米气体的类埃菲莫夫膨胀中被观测到。然而，强关联是否是必要的尚不清楚。在此，我们研究了一个简单的驱动-耗散谐振子中连续尺度不变性的自发破缺，其驱动和耗散参数按$1/t$缩放。通过变换到对数时间，我们证明了动力学由一个非厄米超算符控制，其谱分解揭示了具有相反实部和相等虚部的一对特征模的出现。这标志着连续尺度不变性的自发破缺，并产生了类埃菲莫夫振荡：服从离散标度律的对数周期衰减振荡。振荡的起始与对数时间中的PT对称性破缺转变相吻合。类埃菲莫夫振荡对弱非线性相互作用和扰动具有鲁棒性。我们的工作表明，连续时间尺度对称性的自发破缺和类埃菲莫夫动力学的出现甚至可以在没有多体相互作用的简单驱动-耗散系统中被观测到。
英文摘要
The Efimov effect manifests discrete scale invariance through a geometric series of three-body bound states. Analogous discrete scale symmetry has been observed in the Efimovian expansion of scale-invariant strongly interacting Fermi gases. However, it is unclear whether strong correlation is necessary. Here we investigate the spontaneous breaking of continuous scale invariance in a simple driven-dissipative harmonic oscillator whose driving and dissipation parameters scale as $1/t$. By transforming to logarithmic time, we show that the dynamics is governed by a non-Hermitian superoperator whose spectral decomposition reveals the emergence of a pair of eigenmodes with opposite real parts and equal imaginary parts. This signals the spontaneous breaking of continuous scale invariance and gives rise to Efimovian-like oscillations: log-periodic decay oscillations obeying discrete scaling laws. The onset of oscillations coincides with a PT-symmetry breaking transition in logarithmic time. The Efimovian-like oscillations are robust against weak nonlinear interactions and perturbations. Our work implies that the spontaneous breaking of continuous temporal scale symmetry and the emergence of Efimovian-like dynamics can even be observed in a simple driven-dissipative system without many-body interactions.
发表机构
- College of Physics, Sichuan University（四川大学物理学院）
- Center for Intense Laser Application Technology, College of Engineering Physics, and Guangdong Engineering Technology Research Center for High-Power Ultrafast Laser and X-Ray Equipment, Shenzhen Technology University（深圳技术大学工程物理学院强激光应用技术中心及广东省高功率超快激光与X射线设备工程技术研究中心）
- Key Laboratory of High Energy Density Physics and Technology of Ministry of Education, Sichuan University（四川大学高能密度物理与技术教育部重点实验室）
机构由 AI 辅助整理，请以论文原文为准。
