Survival probability of surface excitations in a 2d lattice: non-Markovian effects and Survival Collapse

ELENA RUFEIL FIORI; HORACIO M. PASTAWSKI

CHEMICAL PHYSICS LETTERS

Elsevier

Año: 2006 vol. 420 p. 35 - 41

0009-2614

Title: Survival probability of surface excitations in a 2d lattice: non-Markovian effects and Survival Collapse Authors: E. Rufeil Fiori, H. M. Pastawski Chemical Physics Letters 420 (2006) 35?41Abstract: The evolution of a surface excitation in a two dimentional model is analyzed. I) It starts quadratically up to a spreading time t_{S}. II) It follows an exponential behavior governed by a self-consistent Fermi Golden Rule. III) At longer times, the exponential is overrun by an inverse power law describing return processes governed by quantum diffusion. At this last transition time t_{R} a survival collapse becomes possible, bringing the survival probability down by several orders of magnitude. We identify this strongly destructive interference as an antiresonance in the time domain.