Deger Aydin, Roy Sthitadhi, Lazarides Achilleas
Interdisciplinary Centre for Mathematical Modelling and Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom.
International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru 560089, India.
Phys Rev Lett. 2022 Oct 14;129(16):160601. doi: 10.1103/PhysRevLett.129.160601.
We investigate the effect of kinetic constraints on classical many-body chaos in a translationally invariant Heisenberg spin chain using a classical counterpart of the out-of-time-ordered correlator (OTOC). The strength of the constraint drives a "dynamical phase transition" separating a delocalized phase, where the classical OTOC propagates ballistically, from a localized phase, where the OTOC does not propagate at all and the entire system freezes. This is unexpected given that all spin configurations are dynamically connected to each other. We show that localization arises due to the dynamical formation of frozen islands, contiguous segments of spins immobile due to the constraints, dominating over the melting of such islands.
我们使用非时序关联函数（OTOC）的经典对应物，研究了动力学约束对平移不变海森堡自旋链中经典多体混沌的影响。约束的强度驱动了一种“动力学相变”，将一个离域相（经典OTOC弹道式传播）与一个局域相分开，在局域相中OTOC根本不传播，整个系统冻结。考虑到所有自旋构型在动力学上都是相互连接的，这一结果出人意料。我们表明，局域化的出现是由于冻结岛的动力学形成，即由于约束而静止不动的相邻自旋段，其占据主导地位，超过了此类岛的融化。
