11 research outputs found
Invisibility cloaking without superluminal propagation
Conventional cloaking based on Euclidean transformation optics requires that
the speed of light should tend to infinity on the inner surface of the cloak.
Non-Euclidean cloaking still needed media with superluminal propagation. Here
we show by giving an example that this is no longer necessary
Quantum Optics in Maxwell's Fish Eye Lens with Single Atoms and Photons
We investigate the quantum optical properties of Maxwell's two-dimensional
fish eye lens at the single-photon and single-atom level. We show that such a
system mediates effectively infinite-range dipole-dipole interactions between
atomic qubits, which can be used to entangle multiple pairs of distant qubits.
We find that the rate of the photon exchange between two atoms, which are
detuned from the cavity resonances, is well described by a model, where the
photon is focused to a diffraction-limited area during absorption. We consider
the effect of losses on the system and study the fidelity of the entangling
operation via dipole-dipole interaction. We derive our results analytically
using perturbation theory and the Born-Markov approximation and then confirm
their validity by numerical simulations. We also discuss how the
two-dimensional Maxwell's fish eye lens could be realized experimentally using
transformational plasmon optics.Comment: 20 pages, 7 figure
Topological Quantum Optics in Two-Dimensional Atomic Arrays
We demonstrate that two-dimensional atomic emitter arrays with subwavelength
spacing constitute topologically protected quantum optical systems where the
photon propagation is robust against large imperfections while losses
associated with free space emission are strongly suppressed. Breaking
time-reversal symmetry with a magnetic field results in gapped photonic bands
with non-trivial Chern numbers and topologically protected, long-lived edge
states. Due to the inherent nonlinearity of constituent emitters, such systems
provide a platform for exploring quantum optical analogues of interacting
topological systems.Comment: 11 pages and 9 figures; paper updated to match published versio
Partial Transmutation of Singularities in Optical Instruments
Some interesting optical instruments such as the Eaton lens and the Invisible
Sphere require singularities of the refractive index for their implementation.
We show how to transmute those singularities into harmless topological defects
in anisotropic media without the need for anomalous material properties
Photonic band structure of two-dimensional atomic lattices
Two-dimensional atomic arrays exhibit a number of intriguing quantum optical phenomena, including subradiance, nearly perfect reflection of radiation, and long-lived topological edge states. Studies of emission and scattering of photons in such lattices require complete treatment of the radiation pattern from individual atoms, including long-range interactions. We describe a systematic approach to perform the calculations of collective energy shifts and decay rates in the presence of such long-range interactions for arbitrary two-dimensional atomic lattices. As applications of our method, we investigate the topological properties of atomic lattices both in free space and near plasmonic surfaces
From Fermat's Principle to Invisibility
AbstractWe present the details of an invisibility cloak whose implementation would not require unphysical material properties, i.e. refractive indices that are singular or less than unity. To achieve this aim, we take the Non-Euclidean Cloak developed by Ulf Leonhardt and Thomas Tyc [1] and combine its refractive index profile with that of the Invisible Sphere [2] to raise all indices above one. We eliminate the singularity of the Invisible Sphere by a transmutation [3]
Theory of dipole radiation near a Dirac photonic crystal
We develop an analytic formalism to describe dipole radiation near the Dirac cone of a two-dimensional photonic crystal slab. In contrast to earlier work, we account for all polarization effects and derive a closed-form expression for the dyadic Green's function of the geometry. Using this analytic Green's function, we demonstrate that the dipolar interaction mediated by the slab exhibits winding phases, which are key ingredients for engineering topological systems for quantum emitters. As an example, we study the coherent atomic interactions mediated by the Dirac cone, which were recently shown to be unusually long range with no exponential attenuation. These results pave the way for further, rigorous analysis of emitters interacting in photonic crystals via photonic Dirac cones. Keywords: Cavity quantum electrodynamics; Nanophotonics; Photonic crystals; Quantum description of light-matter interactio
Topological quantum optics using atomlike emitter arrays coupled to photonic crystals
We propose an experimentally feasible nanophotonic platform for exploring many-body physics in topological quantum optics. Our system is composed of a two-dimensional lattice of nonlinear quantum emitters with optical transitions embedded in a photonic crystal slab. The emitters interact through the guided modes of the photonic crystal, and a uniform magnetic field gives rise to large topological band gaps, robust edge states, and a nearly flat band with a nonzero Chern number. The presence of a topologically nontrivial nearly flat band paves the way for the realization of fractional quantum Hall states and fractional topological insulators in a topological quantum optical setting. ©202