Confining stationary light: Dirac dynamics and Klein tunneling

Abstract

We discuss the properties of 1D stationary pulses of light in atomic ensemble with electromagnetically induced transparency in the limit of tight spatial confinement. When the size of the wavepacket becomes comparable or smaller than the absorption length of the medium, it must be described by a two-component vector which obeys the one-dimensional two-component Dirac equation with an effective mass $m^{\ast }$ and effective speed of light $c^{\ast }$. Then a fundamental lower limit to the spatial width in an external potential arises from Klein tunneling and is given by the effective Compton length ${\lambda }_C=\hslash /(m^{\ast }{c}^{\ast })$. Since $c^{\ast }$ and $m^{\ast }$ can be externally controlled and can be made small it is possible to observe effects of the relativistic dispersion for rather low energies or correspondingly on macroscopic length scales.

4 pages, 4 figures

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• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Effective magnetic fields for stationary light
• On the effective Dirac dynamics of ultracold atoms in bichromatic optical lattices
• Quantum walks and quantum simulations with Bloch oscillating spinor atoms
• Angular-dependent Klein tunneling in photonic graphene
• Tachyon physics with trapped ions
• Klein tunneling in driven-dissipative photonic graphene
• Probing the topological properties of the Jackiw-Rebbi model with light
• The "Majoranon" and how to realize it in a tabletop experiment
• Stationary light in cold atomic gases
• Different models of gravitating Dirac fermions in optical lattices
• Dirac open quantum system dynamics: formulations and simulations
• Optical simulation of the free Dirac equation
• Simultaneous Trapping of Two Optical Pulses in an Atomic Ensemble as Stationary Light Pulses
• Analytic Solutions to Coherent Control of the Dirac Equation
• Probing the BCS-BEC crossover with photons in a nonlinear optical fiber
• Confinement limit of Dirac particles in scalar 1D potentials
• Photonic realization of the kappa-deformed Dirac equation
• Klein tunneling of two correlated bosons
• Operational Dynamical Modeling of spin 1/2 relativistic particles: the Dirac equation and its classical limit
• Light pulse in $\Lambda$-type cold atomic gases
• Photon Wave-packet Manipulation via Dynamic Electromagnetically Induced Transparency in Multilayer Structures
• Physical realization of Photonic Klein Tunneling
• Revealing inherent quantum interference and entanglement of a Dirac particle
• A Green's function approach to transmission of massless Dirac fermions in graphene through an array of random scatterers
• Klein tunneling of light in fiber Bragg gratings
• A new exactly solvable spatially one-dimensional quantum superradiance fermi-medium model and its quantum solitonic states
• Inhomogeneous mass trap for dark-state polaritons in atomic media