论文标题
边界驱动的Klein-Gordon链中的动力和运输
Dynamics and transport in the boundary-driven dissipative Klein-Gordon chain
论文作者
论文摘要
通过对超导量子台链的实验进行的激励，我们考虑了经典的klein-gordon链的动力学，耦合到相干驾驶，并仅在其边界处耗散。随着边界驾驶的强度增加，该最小经典模型恢复了实验中看到的“耗散相变”的主要特征。在此过渡的两侧（分别支持弹道和扩散能量传输）的传输和非传输方案之间，我们观察到了其他感兴趣的动态状态。其中包括在较弱的驾驶强度下的超级散发能量运输方案，以及在更强的驾驶强度下的“谐振非线性波”制度，其特征在于，非线性正常模式的新兴翻译对称性，弹道能传输和相干振荡。我们提出了一个非本地Lyapunov指数，作为该系统中多体混乱的实验可测量的诊断，更普遍地在开放系统中仅耦合到其边界处的环境。
Motivated by experiments on chains of superconducting qubits, we consider the dynamics of a classical Klein-Gordon chain coupled to coherent driving and subject to dissipation solely at its boundaries. As the strength of the boundary driving is increased, this minimal classical model recovers the main features of the "dissipative phase transition" seen experimentally. Between the transmitting and non-transmitting regimes on either side of this transition (which support ballistic and diffusive energy transport respectively), we observe additional dynamical regimes of interest. These include a regime of superdiffusive energy transport at weaker driving strengths, together with a "resonant nonlinear wave" regime at stronger driving strengths, which is characterized by emergent translation symmetry, ballistic energy transport, and coherent oscillations of a nonlinear normal mode. We propose a non-local Lyapunov exponent as an experimentally measurable diagnostic of many-body chaos in this system, and more generally in open systems that are only coupled to an environment at their boundaries.
