Example：10.1021/acsami.1c06204 or Chem. Rev., 2007, 107, 2411-2502
Subdiffusion and Many-Body Quantum Chaos with Kinetic Constraints Physical Review Letters (IF9.161), Pub Date : 2021-12-01, DOI: 10.1103/physrevlett.127.230602 Hansveer Singh, Brayden A. Ware, Romain Vasseur, Aaron J. Friedman
We investigate the spectral and transport properties of many-body quantum systems with conserved charges and kinetic constraints. Using random unitary circuits, we compute ensemble-averaged spectral form factors and linear-response correlation functions, and find that their characteristic timescales are given by the inverse gap of an effective Hamiltonian—or equivalently, a transfer matrix describing a classical Markov process. Our approach allows us to connect directly the Thouless time, , determined by the spectral form factor, to transport properties and linear-response correlators. Using tensor network methods, we determine the dynamical exponent for a number of constrained, conserving models. We find universality classes with diffusive, subdiffusive, quasilocalized, and localized dynamics, depending on the severity of the constraints. In particular, we show that quantum systems with “Fredkin” constraints exhibit anomalous transport with dynamical exponent .