395 research outputs found
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
Symmetry-protected dissipative preparation of matrix product states
We propose and analyze a method for efficient dissipative preparation of
matrix product states that exploits their symmetry properties. Specifically, we
construct an explicit protocol that makes use of driven-dissipative dynamics to
prepare the Affleck-Kennedy-Lieb-Tasaki (AKLT) states, which features
symmetry-protected topological order and non-trivial edge excitations. We show
that the use of symmetry allows for robust experimental implementation without
fine-tuned control parameters. Numerical simulations show that the preparation
time scales polynomially in system size . Furthermore, we demonstrate that
this scaling can be improved to by using parallel
preparation of AKLT segments and fusing them via quantum feedback. A concrete
scheme using excitation of trapped neutral atoms into Rydberg state via
Electromagnetically Induced Transparency is proposed, and generalizations to a
broader class of matrix product states are discussed
- …