From conformal invariance to quasistationary states

TL;DR

This paper explores how a non-local perturbation in a conformal invariant one-dimensional stochastic model induces a new phase characterized by quasistationary states with exponentially growing relaxation times, revealing deep connections between conformal invariance and non-equilibrium dynamics.

Contribution

It introduces a novel non-local perturbation that transitions the system into a massless phase with quasistationary states, expanding understanding of phase behavior in conformal invariant stochastic models.

Findings

Finite-size spectrum partly unchanged under perturbation

Some energy levels decay exponentially with system size

Quasistationary states mimic stationary states of the original model

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.