Wave packet dynamics in various two-dimensional systems: a unified description

TL;DR

This paper provides a unified theoretical framework for understanding wave-packet dynamics in various two-dimensional materials under magnetic fields, highlighting universal phenomena like collapse and revival across different systems.

Contribution

It offers an exact, unified description of wave-packet evolution in 2D systems with magnetic fields, applicable to both Schrödinger and Dirac materials, and estimates associated timescales.

Findings

Universal collapse and revival phenomena observed

Applicable to systems described by Schrödinger or Dirac equations

Provides estimates for timescales of wave-packet dynamics

Abstract

In this article we present an exact and unified description of wave-packet dynamics in various 2D systems in presence of a transverse magnetic field. We consider an initial minimum-uncertainty Gaussian wave-packet, and find that its long term dynamics displays the universal phenomena of spontaneous collapse and quantum revival. We estimate the timescales associated with these phenomena based on very general arguments for various materials, whose carrier dynamics is described either by the Schr\"odinger equation or by the Dirac equation.