论文标题
各向异性等离子体中的杆跳过和混乱：全息研究
Pole skipping and chaos in anisotropic plasma: a holographic study
论文作者
论文摘要
最近，通过“杆跳过”现象，通过智能绿色的功能实现了许多人体系统中混乱的直接签名。此外，发现了复杂频率和动量平面中的特殊位置，称为杆跳过点，使得延迟的绿色功能无法在那里唯一地定义。在本文中，我们通过对涉及不同散装场扰动的EOM进行近地平线分析（即标量，轴轴和度量场），计算全息系统中的空间各向异性引起的校正/转移。对于指标扰动的向量和标量模式，我们构建规格不变变量，以获得主方程。考虑到每个散装场EOM的两个单独的情况被视为波动的波动平行和垂直于各向异性方向。我们计算沿剪切通道中横向的动量扩散的分散关系，并表明它通过了前三个连续的极跳过点。发现声音通道中的杆跳过现象发生在上半平面中，以使参数lyapunov指数$λ_{l} $和蝴蝶速度$ v_ {b} $明确获得，从而确立了与许多身体混乱的连接。
Recently, a direct signature of chaos in many body system has been realized from the energy density retarded Green's function using the phenomenon of `pole skipping'. Moreover, special locations in the complex frequency and momentum plane are found, known as the pole skipping points such that the retarded Green's function can not be defined uniquely there. In this paper, we compute the correction/shift to the pole skipping points due to a spatial anisotropy in a holographic system by performing near horizon analysis of EOMs involving different bulk field perturbations, namely the scalar, the axion and the metric field. For vector and scalar modes of metric perturbations we construct the gauge invariant variable in order to obtain the master equation. Two separate cases for every bulk field EOMs is considered with the fluctuation propagating parallel and perpendicular to the direction of anisotropy. We compute the dispersion relation for momentum diffusion along the transverse direction in the shear channel and show that it passes through the first three successive pole skipping points. The pole skipping phenomenon in the sound channel is found to occur in the upper half plane such that the parameters Lyapunov exponent $λ_{L}$ and the butterfly velocity $v_{B}$ are explicitly obtained thus establishing the connection with many body chaos.
