Beyond the First Recurrence in Scar Phenomena

Abstract

The scarring effect of short unstable periodic orbits up to times of the order of the first recurrence is well understood. Much less is known, however, about what happens past this short-time limit. By considering the evolution of a dynamically averaged wave packet, we show that the dynamics for longer times is controlled by only a few related short periodic orbits and their interplay.

4 pages, 4 Postscript figures, submitted to Phys. Rev. Lett

References in corpus (5)

• Linear and Nonlinear Theory of Eigenfunction Scars
• Recent Developments in the Theory of Scarring
• Measuring Scars of Periodic Orbits
• Wavefunction Intensity Statistics from Unstable Periodic Orbits
• Localized Structures Embedded in the Eigenfunctions of Chaotic Hamiltonian Systems

Cited by in corpus (6)

• Localization properties of groups of eigenstates in chaotic systems
• Quantum Entanglement dependence on bifurcations and scars in non autonomous systems. The case of Quantum Kicked Top
• Dynamics of quantum trajectories in chaotic systems
• Disorder enhanced quantum many-body scars in Hilbert crystals
• Classical invariants and the quantization of chaotic systems
• Different Time Scales in Wave Function Intensity Statistics