Periodic wave packet reconstruction in truncated tight-binding lattices

Abstract

A class of truncated tight-binding Hermitian and non-Hermitian lattices with commensurate energy levels, showing periodic reconstruction of the wave packet, is presented. Examples include exact Bloch oscillations on a finite lattice, periodic wave packet dynamics in non-Hermtian lattices with a complex linear site-energy gradient, and self-imaging in lattices with commensurate energy levels quadratically-varying with the quantum number.

References in corpus (5)

• Dynamical control of matter-wave tunneling in periodic potentials
• Exploring dynamic localization with a Bose-Einstein condensate
• Acoustic Analogue of Bloch Oscillations and Resonant Zener Tunneling in Ultrasonic Superlattices
• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• Bloch oscillations in tight-binding lattices with defects

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