Steering Zitterbewegung in driven Dirac systems -- from persistent modes to echoes
arXiv:1910.09848 · doi:10.1103/PhysRevB.101.094306
Abstract
Although zitterbewegung -- the jittery motion of relativistic particles -- is known since 1930 and was predicted in solid state systems long ago, it has been directly measured so far only in so-called quantum simulators, i.e. quantum systems under strong control such as trapped ions and Bose-Einstein condensates. A reason for the lack of further experimental evidence is the transient nature of wave packet zitterbewegung. Here we study how the jittery motion can be manipulated in Dirac systems via time-dependent potentials, with the goal of slowing down/preventing its decay, or of generating its revival. For the harmonic driving of a mass term, we find persistent zitterbewegung modes in pristine, i.e. scattering free, systems. Furthermore, an effective time-reversal protocol -- the "Dirac quantum time mirror" -- is shown to retrieve zitterbewegung through echoes.
11 pages, 6 figures
References in corpus (24)
- Quantum simulation of the Dirac equation
- Spin-Orbit Coupled Spinor Bose-Einstein Condensates
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Observation of Zitterbewegung in a spin-orbit coupled Bose-Einstein condensate
- Zitterbewegung of electronic wave packets in semiconductor nanostructures
- Direct observation of zitterbewegung in a Bose-Einstein condensate
- Zitterbewegung of electrons in graphene in a magnetic field
- Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes
- Zitterbewegung (trembling motion) of electrons in semiconductors: a Review
- Zitterbewegung of electrons and holes in III-V semiconductor quantum wells
- Cyclotron motion in graphene
- One-dimensional semirelativity for electrons in carbon nanotubes
- Anomalous Electron Trajectory in Topological Insulators
- Zitterbewegung of exciton-polaritons
- Nature of electron Zitterbewegung in crystalline solids
- Cyclotron motion and magnetic focusing in semiconductor quantum wells with spin-orbit coupling
- Dirac quantum time mirror
- Multi-mode behavior of electron Zitterbewegung induced by an electromagnetic wave in graphene
- Zitterbewegung and bulk-edge Landau-Zener tunneling in topological insulators
- Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain
- Quantum time mirrors for general two-band systems
- Coherent Electron Zitterbewegung
- Towards a quantum time mirror for nonrelativistic wave packets
- Two-photon echo method for observing electron Zitterbewegung in carbon nanotubes