论文标题
无处不在
Ubiquitous quantum scarring does not prevent ergodicity
论文作者
论文摘要
在经典的混乱系统中，任何轨迹都会在很长一段时间后任意接近可用相空间的任何点，并均匀地填充。使用Born的规则将量子状态与概率联系起来，然后人们可能会期望混乱制度中的所有量子状态都应均匀分布在相空间中。这种简化的图像被发现的量子疤痕而动摇，其中某些特征态沿着不稳定的周期轨道集中。尽管如此，大多数混沌模型的特征状态确实是奇异的。相反，我们的结果表明，混乱的Dicke模型的所有本征态实际上都会伤痕累累。他们还表明，即使是这种相互作用的原子 - 光子系统中最随机的状态，也不会占据可用相空间的一半以上。在执行时间平均值之后，仅作为集合属性才能实现量子牙周癌性。
In a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any point of the available phase space after a long time, filling it uniformly. Using Born's rules to connect quantum states with probabilities, one might then expect that all quantum states in the chaotic regime should be uniformly distributed in phase space. This simplified picture was shaken by the discovery of quantum scarring, where some eigenstates are concentrated along unstable periodic orbits. Despite of that, it is widely accepted that most eigenstates of chaotic models are indeed ergodic. Our results show instead that all eigenstates of the chaotic Dicke model are actually scarred. They also show that even the most random states of this interacting atom-photon system never occupy more than half of the available phase space. Quantum ergodicity is achievable only as an ensemble property, after temporal averages are performed.
