守恒动量下局部算符淬火的展开复杂度
Spread Complexity for Local Operator Quenches with Conserved Momentum
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中文总结 AI 辅助
本文研究二维共形场论中携带净动量的局部激发态，解析与数值计算其展开复杂度，并与全息对偶量比较，发现不匹配。
中文摘要 AI 辅助
我们研究了二维共形场论中在不同设置下（定义在平面上、圆柱上或有限温度下）的一族局部激发态。这些态是通过为局部初级算符分配独立的左手性和右手性正则化器而构造的，从而产生携带净动量的激发。我们解析计算了前几个Lanczos系数以及这些态相关的展开复杂度的早期时间行为。然后，利用数值方法，我们获得了达到更大Krylov指标的系数，并找到了在更长时间演化范围内的相关展开复杂度。我们还比较了所得展开复杂度的变化率与所提出的全息对偶量（与对偶体中下落粒子的固有动量相关），但观察到了不匹配。
英文摘要
We study a family of locally excited states in two-dimensional conformal field theories in different setups, defined on the plane, on the cylinder, or at finite temperature. These states are constructed by assigning independent chiral and anti-chiral regulators to a local primary operator, leading to excitations carrying net momentum. We analytically calculate the first few Lanczos coefficients and the early time behaviour of the spread complexity associated with these states. Then, using numerical methods, we obtain the coefficients reaching larger Krylov indices and find the associated spread complexity for a longer range of time evolution. We also compare the rate of change of the resulting spread complexity with the proposed holographic dual quantity, related to the proper momentum of an infalling particle in the dual bulk, but we observe a mismatch.
发表机构
- Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University（莫斯科国立大学理论与数学物理研究所）
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