论文标题
Instantons和与混乱的量子
Instantons and the quantum bound to chaos
论文作者
论文摘要
我们研究了为什么Lyapunov指数$λ$的超时订购相关器（OTOC）通过使用RING-POLYMER分子动力学（RPMD）来探测假想的时间路径积分空间（rpmd）的通用绑定$λ<2πk_bt/{\ hbar} $。我们发现RPMD OTOC满足与量子OTOC相同的结合，这是由于屏障上激体周围的量子热波动的稳定性引起的。我们希望在许多其他具有指数增长的OTOC的系统中可以找到类似的Instantons（或其他离域结构）。
We investigate why the Lyapunov exponents $λ$ of out-of-time-ordered correlators (OTOCs) satisfy a universal bound $λ< 2 πk_B T/{\hbar}$ by probing imaginary-time path-integral space using ring-polymer molecular dynamics (RPMD) for a barrier-crossing model. We find that the RPMD OTOC satisfies the same bound as the quantum OTOC, which is caused by the stability of quantum thermal fluctuations around the instanton on the barrier. We expect that similar instantons (or other delocalised structures) will be found in many other systems with exponentially growing OTOCs.
