Universal Dynamics of Independent Critical Relaxation Modes

Abstract

Scaling behavior is studied of several dominant eigenvalues of spectra of Markov matrices and the associated correlation times governing critical slowing down in models in the universality class of the two-dimensional Ising model. A scheme is developed to optimize variational approximants of progressively rapid, independent relaxation modes. These approximants are used to reduce the variance of results obtained by means of an adaptation of a quantum Monte Carlo method to compute eigenvalues subject to errors predominantly of statistical nature. The resulting spectra and correlation times are found to be universal up to a single, non-universal time scale for each model.

Cited by in corpus (4)

• Optimization of ground and excited state wavefunctions and van der Waals clusters
• Monte Carlo computation of correlation times of independent relaxation modes at criticality
• Eigenvalue method to compute the largest relaxation time of disordered systems
• Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass