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

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 Schrödinger equation or by the Dirac equation.

9 pages, 3 figures

References in corpus (17)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Electronic structure of silicon-based nanostructures
• Dirac materials
• Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
• Zitterbewegung of electronic wave packets in semiconductor nanostructures
• Unified description of the Zitterbewegung for spintronic, graphene and superconducting systems
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Gate-controlled spin-orbit interaction in a parabolic GaAs/AlGaAs quantum well
• Oscillatory multiband dynamics of free particles: The ubiquity of zitterbewegung effects
• Revivals of quantum wave-packets in graphene
• Cyclotron motion in graphene
• Wave packet dynamics in 2DEG with spin orbit coupling: splitting and zitterbewegung
• Zitterbewegung of relativistic electrons in a magnetic field and its simulation by trapped ions
• Zitterbewegung in monolayer silicene in a magnetic field
• Sign changes and resonance of intrinsic spin Hall effect in two-dimensional hole gas
• Wave packet dynamics in monolayer MoS${}_2$ with and without a magnetic field

Cited by in corpus (1)

• Dynamics of a quasiparticle in the $\alpha$-T${}_3$ model: Role of pseudospin polarization and transverse magnetic field on \textbf{\textit{zitterbewegung}}