Probing the topological properties of the Jackiw-Rebbi model with light
arXiv:1306.2179 · doi:10.1038/srep06110
Abstract
The Jackiw-Rebbi model describes a one-dimensional Dirac particle coupled to a soliton field and can be equivalently thought of as the model describing a Dirac particle under a Lorentz scalar potential. Neglecting the dynamics of the soliton field, a kink in the background soliton profile yields a topologically protected zero-energy mode for the particle, which in turn leads to charge fractionalization. We show here that the model can be realized in a driven slow-light setup, where photons mimic the Dirac particles and the soliton field can be implemented-and tuned-by adjusting optical parameters such as the atom-photon detuning. Furthermore, we discuss how the existence of the zero-mode, and its topological stability, can be probed naturally by analyzing the transmission spectrum. We conclude by doing an analysis of the robustness of our approach against possible experimental errors in engineering the Jackiw-Rebbi Hamiltonian in this optical set up.
Extensive restructuring compared to the previous version, with new results added regarding probing the stability of the topological mode in an optical transmission experiment, as well as a robustness study
References in corpus (23)
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Quantum phase transitions of light
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Electron fractionalization in two-dimensional graphenelike structures
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Quantum simulation of the Klein paradox with trapped ions
- Crystallization of strongly interacting photons in a nonlinear optical fiber
- Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
- Fractional Quantum Hall State in Coupled Cavities
- Heavy Solitons in a Fermionic Superfluid
- Many-body phenomena in QED-cavity arrays
- Quasi-relativistic behavior of cold atoms in light fields
- Strongly interacting photons in hollow-core waveguides
- Klein tunneling and Dirac potentials in trapped ions
- Trapping of Ultracold Atoms in a Hollow-core Photonic Crystal Fiber
- Non-equilibrium many-body effects in driven nonlinear resonator arrays
- Confining stationary light: Dirac dynamics and Klein tunneling
- Efficient Guiding of Cold Atoms though a Photonic Band Gap Fiber
- Fractional statistics of topological defects in graphene and related structures
- The "Majoranon" and how to realize it in a tabletop experiment
- Mimicking interacting relativistic theories with stationary pulses of light
- Topological effects and particle-physics analogies beyond the massless Dirac-Weyl fermion in graphene nanorings
Cited by in corpus (13)
- Topological Photonics
- Quantum simulations and many-body physics with light
- Photonic Jackiw-Rebbi states in all-dielectric structures controlled by bianisotropy
- Gauge-induced Floquet topological states in photonic waveguides
- Linear and nonlinear photonic Jackiw-Rebbi states in waveguide arrays
- Majorana Spin Liquids, Topology and Superconductivity in Ladders
- Jackiw-Rebbi states in interfaced binary waveguide arrays with Kerr nonlinearity
- Topology of 2D Dirac operators with variable mass and an application to shallow-water waves
- Spontaneously-Induced Dirac Boundary State and Digitization in a Nonlinear Resonator Chain
- Jackiw-Rebbi states and trivial states in interfaced binary waveguide arrays with cubic-quintic nonlinearity
- Boosting Topological Zero Modes Using Elastomer Waveguide Arrays
- Probing Klein tunneling through quantum quenches
- Semiclassical bifurcations and topological phase transitions in a one-dimensional lattice of coupled Lipkin-Meshkov-Glick models