论文标题
相互作用粒子的淬灭动力学中的复杂缩放流动
Complex scaling flows in the quench dynamics of interacting particles
论文作者
论文摘要
从平衡中驱动的多体系统可以表现出量子状态的缩放流。为了突然淬灭粒子之间的谐振相互作用,我们用复杂的比例参数构建了一类新的分析缩放溶液。这些解决方案确定了可观察到的确切动态缩放,例如配对相关函数,接触和保真度。我们为两个被困的费米子或玻色子的非平衡动力学提供了明确的例子,用于理想的玻色极性子,以及共同相互作用的硼晶三体系统。这些解决方案揭示了相互作用的多体系统的通用缩放属性,这些系统是由淬火后短时间内的相关性产生的。
Many-body systems driven out of equilibrium can exhibit scaling flows of the quantum state. For a sudden quench to resonant interactions between particles we construct a new class of analytical scaling solutions for the time evolved wave function with a complex scale parameter. These solutions determine the exact dynamical scaling of observables such as the pair correlation function, the contact and the fidelity. We give explicit examples of the nonequilibrium dynamics for two trapped fermions or bosons quenched to unitarity, for ideal Bose polarons, and for resonantly interacting, Borromean three-body systems. These solutions reveal universal scaling properties of interacting many-body systems that arise from the buildup of correlations at short times after the quench.