Dynamical Universal Behavior in Quantum Chaotic Systems

混沌多体量子态中的普适关联：Berry随机波模型的Fock空间表述

Universal correlations in chaotic many-body quantum states: Fock-space formulation of Berrys random wave model

该研究将Berry随机波模型推广到多体Fock空间，通过多体半经典分析揭示混沌本征态中交叉关联与展开系数高斯分布的普适性，并用量子模拟验证，表明其超越随机矩阵理论且与本征态热化假说一致。

Memory of the Initial Conditions in an Incompletely-Chaotic Quantum System: Universal Predictions and an Application to Cold Atoms

Two zero-range-interacting atoms in a circular, transversely harmonic waveguide are used as a test-bench for a quantitative description of the crossover between integrability and chaos in a quantum system with no selection rules. For such systems we show that the expectation value after relaxation of a generic observable is given by a linear interpolation between its initial and thermal expectation values. The variable of this interpolation is universal; it governs this simple law to cover the whole spectrum of the chaotic behavior from integrable regime through the well- developed quantum cha…

Broad universal Feshbach resonances in the chaotic spectrum of Dysprosium atoms

We report on the observation of weakly-bound dimers of bosonic Dysprosium with a strong universal s-wave halo character, associated with broad magnetic Feshbach resonances. These states surprisingly decouple from the chaotic backgound of narrow resonances, persisting across many such narrow resonances. In addition they show the highest reported magnetic moment $μ\simeq20\,μ_{\rm B}$ of any ultracold molecule. We analyze our findings using a coupled-channel theory taking into account the short range van der Waals interaction and a correction due to the strong dipole moment of Dysprosium. We are…