Revivals of quantum wave-packets in graphene

Abstract

We investigate the propagation of wave-packets on graphene in a perpendicular magnetic field and the appearance of collapses and revivals in the time-evolution of an initially localised wave-packet. The wave-packet evolution in graphene differs drastically from the one in an electron gas and shows a rich revival structure similar to the dynamics of highly excited Rydberg states. We present a novel numerical wave-packet propagation scheme in order to solve the effective single-particle Dirac-Hamiltonian of graphene and show how the collapse and revival dynamics is affected by the presence of disorder. Our effective numerical method is of general interest for the solution of the Dirac equation in the presence of potentials and magnetic fields.

22 pages, 10 figures, 3 movies, to appear in New Journal of Physics

References in corpus (26)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Chiral tunneling and the Klein paradox in graphene
• Intrinsic ripples in graphene
• Temperature dependent transport in suspended graphene
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Quantum wave packet revivals
• Spin currents in rough graphene nanoribbons: Universal fluctuations and spin injection
• Berry phase, hyperorbits, and the Hofstadter spectrum
• Symmetry Classes in Graphene Quantum Dots: Universal Spectral Statistics, Weak Localization, and Conductance Fluctuations
• Zitterbewegung of electrons in graphene in a magnetic field
• Imaging Magnetic Focusing of Coherent Electron Waves
• Anomalously large conductance fluctuations in weakly disordered graphene
• Theory of electron Zitterbewegung in graphene probed by femtosecond laser pulses
• Electronic properties of curved graphene sheets
• NMR experiment factors numbers with Gauss sums
• Factorization of Numbers with the temporal Talbot effect: Optical implementation by a sequence of shaped ultrashort pulses
• Gauss sum factorization with cold atoms
• Finite difference method for transport properties of massless Dirac fermions
• Cyclotron motion in graphene
• Cyclotron motion and magnetic focusing in semiconductor quantum wells with spin-orbit coupling
• Loschmidt Echo and Lyapunov Exponent in a Quantum Disordered System
• An efficient and accurate method to obtain the energy-dependent Green function for general potentials

Cited by in corpus (33)

• Switching spin and charge between edge states in topological insulator constrictions
• Wave packet dynamics and valley filter in strained graphene
• Zitterbewegung (trembling motion) of electrons in semiconductors: a Review
• Revivals, classical periodicity, and zitterbewegung of electron currents in monolayer graphene
• Bloch-Zener Oscillations in Graphene and Topological Insulators
• Floquet spin states in graphene under ac driven spin-orbit interaction
• Symmetries and the conductance of graphene nanoribbons with long-range disorder
• Lattice-layer entanglement in Bernal-stacked bilayer graphene
• Phase-space representation of Landau and electron coherent states for uniaxially strained graphene
• Electron dynamics in graphene with gate-defined quantum dots
• Laser induced modulation of the Landau level structure in single-layer graphene
• Quantum oscillation and wave packet revival in conical graphene structure
• Large-scale tight-binding simulations of quantum transport in ballistic graphene
• Wave packet approach to transport in mesoscopic systems
• Electron collimation at van der Waals domain walls in bilayer graphene
• Theory of the quantum Hall effect in graphene
• Wave packet revivals in a graphene quantum dot in a perpendicular magnetic field
• Wave packet dynamics in hole Luttinger systems
• Zitterbewegung in time-reversal Weyl Semimetals
• Wave packet dynamics in monolayer MoS${}_2$ with and without a magnetic field
• Schrödinger-type 2D coherent states of magnetized uniaxially strained graphene
• Fisher-Shannon product and quantum revivals in wavepacket dynamics
• Fisher information, nonclassicality and quantum revivals
• Wave packet dynamics in various two-dimensional systems: a unified description
• Time-diffraction and Zitterbewegung of two-dimensional massless Dirac excitations
• About the quantum Talbot effect on the sphere
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves
• Perfect Zitterbewegung oscillations in the Kitaev chain system
• Annular wave packets at Dirac points and probability oscillation in graphene
• Absorption and Injection Models for Open Time-Dependent Quantum Systems
• Optical computing of quantum revivals
• Multiphoton coherent states for bilayer graphene
• Generalised fractional Rabi problem