1,536 research outputs found
Collective Light Emission of a Finite Size Atomic Chain
Radiative properties of collective electronic states in a one dimensional
atomic chain are investigated. Radiative corrections are included with
emphasize put on the effect of the chain size through the dependence on both
the number of atoms and the lattice constant. The damping rates of collective
states are calculated in considering radiative effects for different values of
the lattice constant relative to the atomic transition wave length. Especially
the symmetric state damping rate as a function of the number of the atoms is
derived. The emission pattern off a finite linear chain is also presented. The
results can be adopted for any chain of active material, e.g., a chain of
semiconductor quantum dots or organic molecules on a linear matrix.Comment: 10 pages, 20 figure
Excitons and Cavity Polaritons for Optical Lattice Ultracold Atoms
Ultracold atoms uniformly filling an optical lattice can be treated like an
artificial crystal. An implementation including the atomic occupation of a
single excited atomic state can be represented by a two-component Bose-Hubbard
model. Its phase diagram exhibits a quantum phase transition from a superfluid
to a Mott insulator phase. The dynamics of electronic excitations governed by
electrostatic dipole-dipole interactions in the ordered regime can be well
described by wave-like collective excitations called excitons. Here we present
an extensive study of such excitons for a wide range of geometries and
dimensionality. Their lifetimes can vary over many orders of magnitude from
metastable propagation to superradiant decay. Particularly strong effects occur
in one dimensional atomic chains coupled to tapered optical fibers. For an
optical lattice within a cavity the excitons are coupled to cavity photons and
the resulting collective cavity QED model can be efficiently formulated in
terms of polaritons. Their properties are explicitly calculated for different
lattices and they constitute a non-destructive monitoring tool for important
system properties. Even the formation of molecules in optical lattices
manifests itself in modified polariton properties as e.g. an anisotropic
optical spectrum. Partial dissipation of the exciton energy in the lattice
leads to heating, which can be microscopically understood through a mechanism
transferring atoms into higher Bloch bands via a resonant excitation transfer
among neighboring lattice sites. The presence of lattice defects like vacancies
in the Mott insulator induces a characteristic scattering of polaritons, which
can be optically observed to monitor the lattice integrity. Our models can be
applied to simulate and understand corresponding collective phenomena in solid
crystals, where many effects are often masked by noise and disorder.Comment: 54 pages, 28 figure
Optical Properties of Collective Excitations for Finite Chains of Trapped Atoms
Resonant dipole-dipole interaction modifies the energy and decay rate of
electronic excitations for finite one dimensional chains of ultracold atoms in
an optical lattice. We show that collective excited states of the atomic chain
can be divided into dark and bright modes, where a superradiant mode with an
enhanced collective effective dipole dominates the optical scattering. Studying
the generic case of two chain segments of different length and position
exhibits an interaction blockade and spatially structured light emission.
Ultimately, an extended system of several interfering segments models a long
chain with randomly distributed defects of vacant sites. The corresponding
emission pattern provides a sensitive tool to study structural and dynamical
properties of the system.Comment: 8 pages, 12 figure
Collective Interactions in an Array of Atoms Coupled to a Nanophotonic Waveguide
A lattice of trapped atoms strongly coupled to a one-dimensional nanophotonic
waveguide is investigated in exploiting the concept of polariton as the system
natural eigenstate. We apply a bosonization procedure, which was presented
separately by P. W. Anderson and V. M. Agranovich, to transform excitation
spin-half operators into interacting bosons, and which shown here to confirm
the hard-core boson model. We derive polariton-polariton kinematic interactions
and study them by solving the scattering problem. In using the
excitation-photon detuning as a control parameter, we examine the regime in
which polaritons behave as weakly interacting photons, and propose the system
for realizing superfluidity of photons. We implement the kinematic interaction
as a mechanism for nonlinear optical processes that provide an observation tool
for the system properties, e.g. the interaction strength produces a blue shift
in pump-probe experiments.Comment: 12 pages, 12 figure
Van der Waals Interactions among Alkali Rydberg Atoms with Excitonic States
We investigate the influence of the appearance of excitonic states on van der
Waals interactions among two Rydberg atoms. The atoms are assumed to be in
different Rydberg states, e.g., in the and states.
The resonant dipole-dipole interactions yield symmetric and antisymmetric
excitons, with energy splitting that give rise to new resonances as the atoms
approach each other. Only far from these resonances the van der Waals
coefficients, , can be defined. We calculate the coefficients
for alkali atoms and present the results for lithium by applying perturbation
theory. At short interatomic distances of several , we show that the
widely used simple model of two-level systems for excitons in Rydberg atoms
breaks down, and the correct representation implies multi-level atoms. Even
though, at larger distances one can keep the two-level systems but in including
van der Waals interactions among the atoms.Comment: 9 pages, 9 figure
Hybrid Quantum System of a Nanofiber Mode Coupled to Two Chains of Optically Trapped Atoms
A tapered optical nanofiber simultaneously used to trap and optically
interface of cold atoms through evanescent fields constitutes a new and well
controllable hybrid quantum system. The atoms are trapped in two parallel 1D
optical lattices generated by suitable far blue and red detuned evanescent
field modes very close to opposite sides of the nanofiber surface. Collective
electronic excitations (excitons) of each of the optical lattices are
resonantly coupled to the second lattice forming symmetric and antisymmetric
common excitons. In contrast to the inverse cube dependence of the individual
atomic dipole-dipole interaction, we analytically find an exponentially
decaying coupling strength with distance between the lattices. The resulting
symmetric (bright) excitons strongly interact with the resonant nanofiber
photons to form fiber polaritons, which can be observed through linear optical
spectra. For large enough wave vectors the polariton decay rate to free space
is strongly reduced, which should render this system ideal for the realization
of long range quantum communication between atomic ensembles.Comment: 9 pages, 9 figure
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