301 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
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
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
Dark bogolon-excitons in a linear atomic super-lattice
Dark and bright excitons are shown to appear naturally in a linear atomic
super-lattice with two atoms per unit cell. In bringing the super-lattice into
a strong coupling regime with a one-dimensional nanophotonic waveguide, bright
excitons and photons are coherently mixed to form polaritons. Treating excitons
as bosons implies a mechanism that forbids two excitations from being at the
same atomic state, which is included here through a bosonization procedure with
kinematic interactions. Interestingly these interactions couple dark and bright
excitons, and which we exploit as a new tool for exciting dark states in a
controllable way. We suggest a pump-probe experiment where two polaritons
scatter into two dark excitons that found to be correlated and are represented
as dark bogolon-excitons. The results can be adapted for any super-lattice of
active materials, e.g., of organic molecules.Comment: 11 pages, 7 figure
Bright and dark excitons in an atom--pair filled optical lattice within a cavity
We study electronic excitations of a degenerate gas of atoms trapped in pairs
in an optical lattice. Local dipole-dipole interactions produce a long lived
antisymmetric and a short lived symmetric superposition of individual atomic
excitations as the lowest internal on-site excitations. Due to the much larger
dipole moment the symmetric states couple efficiently to neighbouring lattice
sites and can be well represented by Frenkel excitons, while the antisymmetric
dark states stay localized. Within a cavity only symmetric states couple to
cavity photons inducing long range interactions to form polaritons. We
calculate their dispersion curves as well as cavity transmission and reflection
spectra to observe them. For a lattice with aspherical sites bright and dark
states get mixed and their relative excitation energies depend on photon
polarizations. The system should allow to study new types of solid state
phenomena in atom filled optical lattices
Exciton-Polariton scattering for defect detection in cold atom Optical Lattices
We study the effect of defects in the Mott insulator phase of ultracold atoms
in an optical lattice on the dynamics of resonant excitations. Defects, which
can either be empty sites in a Mott insulator state with one atom per site or a
singly occupied site for a filling factor two, change the dynamics of Frenkel
excitons and cavity polaritons. While the vacancies in first case behave like
hard sphere scatters for excitons, singly occupied sites in the latter case can
lead to attractive or repulsive scattering potentials. We suggest cavity
polaritons as observation tool of such defects, and show how the scattering can
be controlled in changing the exciton-photon detuning. In the case of
asymmetric optical lattice sites we present how the scattering effective
potential can be detuned by the cavity photon polarization direction, with the
possibility of a crossover from a repulsive into an attractive potential.Comment: 9 pages, 10 figure
Collective Electronic Excitation Coupling between Planar Optical Lattices using Ewald's Method
Using Ewald's summation method we investigate collective electronic
excitations (excitons) of ultracold atoms in parallel planar optical lattices
including long range interactions. The exciton dispersion relation can then be
suitably rewritten and efficiently calculated for long range resonance
dipole-dipole interactions. Such in-plane excitons resonantly couple for two
identical optical lattices, with an energy transfer strength decreasing
exponentially with the distance between the lattices. This allows a restriction
of the transfer to neighboring planes and gives rise to excitons delocalized
between the lattices. In general equivalent results will hold for any planar
system containing lattice layers of optically active and dipolar materials.Comment: 6 pages, and 7 figure
Superradiant and Dark Exciton States in an Optical Lattice within a Cavity
We study ultracold atoms in a finite size one-dimensional optical lattice
prepared in the Mott insulator phase and commonly coupled to a single cavity
mode. Due to resonance dipole-dipole interactions among the atoms, electronic
excitations delocalize and form {\it excitons}. These exciton modes are divided
into two groups: antisymmetric modes which decouple from the cavity mode
forming {\it dark states}, and symmetric modes significantly coupled to the
cavity mode called {\it bright states}. In typical setups the lowest and most
symmetric exciton is coupled to the cavity photons much stronger than the other
bright states and dominates the optical properties response of the atoms ({\it
superradiant state}). In the strong coupling regime this superradiant state is
coherently mixed with the cavity photon to form a doublet of polariton states
with the Rabi splitting.Comment: 4 pages, 11 figure
Visualizing the Quantum Interaction Picture in Phase Space
We illustrate the correspondence between the quantum Interaction
Picture-evolution of the state of a quantum system in Hilbert space and a
combination of local and global transformations of its Wigner function in phase
space. To this aim, we consider the time-evolution of a quantized harmonic
oscillator driven by both a linear and a quadratic (in terms of bosonic
creation and annihilation operators) potentials and employ the Magnus series to
derive the exact form of the time-evolution operator. In this case, the
Interaction Picture corresponds to a local transformation of phase
space-reference frame into the one that is co-moving with the Wigner function.Comment: Submitted to New Journal of Physic
Structural Insights from Recent CB1 X-Ray Crystal Structures
Over the past 2 years, X-ray crystal structures of the antagonist- and agonist-bound CB1 receptor have been reported. Such structures are expected to accelerate progress in the understanding of CB1 and should provide an exceptional starting point for structure-based drug discovery. This chapter examines the consistency of these X-ray structures with the CB1 experimental literature, including mutation, NMR and covalent labeling studies. These comparisons reveal discrepancies between this literature and the TMH1-2-3 region of each CB1 crystal structure. The chapter also examines crystal packing issues with each X-ray structure and shows that the discrepancies with the experimental literature can be attributed to crystal packing problems that force the N-terminus deep in the binding pocket of the two inactive state structures and force TMH2 to bend at G2.53/S2.54 and invade the binding pocket in the activated state structure. Revision is advisable before these structures are used for structure-based drug discovery
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