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arXiv · 1107.2618

From conformal invariance to quasistationary states

Francisco C. Alcaraz·Vladimir Rittenberg
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Abstract

In a conformal invariant one-dimensional stochastic model, a certain non-local perturbation takes the system to a new massless phase of a special kind. The ground-state of the system is an adsorptive state. Part of the finite-size scaling spectrum of the evolution Hamiltonian stays unchanged but some levels go exponentially to zero for large lattice sizes becoming degenerate with the ground-state. As a consequence one observes the appearance of quasistationary states which have a relaxation time which grows exponentially with the size of the system. Several initial conditions have singled out a quasistationary state which has in the finite-size scaling limit the same properties as the stationary state of the conformal invariant model.

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Francisco C. Alcaraz, Vladimir Rittenberg. 2011-07-13. From conformal invariance to quasistationary states. https://doi.org/10.1088/1742-5468%2F2011%2F09%2Fp09030

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