1,462 research outputs found
Evidence of Raleigh-Hertz surface waves and shear stiffness anomaly in granular media
Due to the non-linearity of Hertzian contacts, the speed of sound in granular
matter increases with pressure. Under gravity, the non-linear elastic
description predicts that acoustic propagation is only possible through surface
modes, called Rayleigh-Hertz modes and guided by the index gradient. Here we
directly evidence these modes in a controlled laboratory experiment and use
them to probe the elastic properties of a granular packing under vanishing
confining pressure. The shape and the dispersion relation of both transverse
and sagittal modes are compared to the prediction of non-linear elasticity that
includes finite size effects. This allows to test the existence of a shear
stiffness anomaly close to the jamming transition.Comment: 4 pages 4 figure
Bose-Einstein Condensation and Spin Mixtures of Optically Trapped Metastable Helium
We report the realization of a BEC of metastable helium-4 atoms (4He*) in an
all optical potential. Up to 10^5 spin polarized 4He* atoms are condensed in an
optical dipole trap formed from a single, focused, vertically propagating far
off-resonance laser beam. The vertical trap geometry is chosen to best match
the resolution characteristics of a delay-line anode micro-channel plate
detector capable of registering single He* atoms. We also confirm the
instability of certain spin state combinations of 4He* to two-body inelastic
processes, which necessarily affects the scope of future experiments using
optically trapped spin mixtures. In order to better quantify this constraint,
we measure spin state resolved two-body inelastic loss rate coefficients in the
optical trap
An acoustic analog to the dynamical Casimir effect in a Bose-Einstein condensate
We have realized an acoustic analog to the Dynamical Casimir effect. The
density of a trapped Bose-Einstein condensate is modulated by changing the trap
stiffness. We observe the creation of correlated excitations with equal and
opposite momenta, and show that for a well defined modulation frequency, the
frequency of the excitations is half that of the trap modulation frequency.Comment: Includes supplemental informatio
Sub-Poissonian number differences in four-wave mixing of matter waves
We demonstrate sub-Poissonian number differences in four-wave mixing of
Bose-Einstein condensates of metastable helium. The collision between two
Bose-Einstein condensates produces a scattering halo populated by pairs of
atoms of opposing velocities, which we divide into several symmetric zones. We
show that the atom number difference for opposing zones has sub-Poissonian
noise fluctuations whereas that of nonopposing zones is well described by shot
noise. The atom pairs produced in a dual number state are well adapted to sub
shot-noise interferometry and studies of Einstein-Podolsky-Rosen-type
nonlocality tests.Comment: 4 pages, 3 figure
Spontaneous Four-Wave Mixing of de Broglie Waves: Beyond Optics
We investigate the atom-optical analog of degenerate four-wave mixing of
photons by colliding two Bose-Einstein condensates (BECs) of metastable helium
and measuring the resulting momentum distribution of the scattered atoms with a
time and space resolved detector. For the case of photons, phase matching
conditions completely define the final state of the system, and in the case of
two colliding BECs, simple analogy implies a spherical momentum distribution of
scattered atoms. We find, however, that the final momenta of the scattered
atoms instead lie on an ellipsoid whose radii are smaller than the initial
collision momentum. Numerical and analytical calculations agree well with the
measurements, and reveal the interplay between many-body effects, mean-field
interaction, and the anisotropy of the source condensate
Compact Einstein-Weyl four-dimensional manifolds
We look for four dimensional Einstein-Weyl spaces equipped with a regular
Bianchi metric. Using the explicit 4-parameters expression of the distance
obtained in a previous work for non-conformally-Einstein Einstein-Weyl
structures, we show that only four 1-parameter families of regular metrics
exist on orientable manifolds : they are all of Bianchi type and
conformally K\"ahler ; moreover, in agreement with general results, they have a
positive definite conformal scalar curvature. In a Gauduchon's gauge, they are
compact and we obtain their topological invariants. Finally, we compare our
results to the general analyses of Madsen, Pedersen, Poon and Swann : our
simpler parametrisation allows us to correct some of their assertions.Comment: Latex file, 13 pages, an important reference added and a critical
discussion of its claims offered, others minor modification
Violation of the Cauchy-Schwarz inequality with matter waves
The Cauchy-Schwarz (CS) inequality -- one of the most widely used and
important inequalities in mathematics -- can be formulated as an upper bound to
the strength of correlations between classically fluctuating quantities.
Quantum mechanical correlations can, however, exceed classical bounds.Here we
realize four-wave mixing of atomic matter waves using colliding Bose-Einstein
condensates, and demonstrate the violation of a multimode CS inequality for
atom number correlations in opposite zones of the collision halo. The
correlated atoms have large spatial separations and therefore open new
opportunities for extending fundamental quantum-nonlocality tests to ensembles
of massive particles.Comment: Final published version (with minor changes). 5 pages, 3 figures,
plus Supplementary Materia
Charon's radius and density from the combined data sets of the 2005 July 11 occultation
The 2005 July 11 C313.2 stellar occultation by Charon was observed by three
separate research groups, including our own, at observatories throughout South
America. Here, the published timings from the three data sets have been
combined to more accurately determine the mean radius of Charon: 606.0 +/- 1.5
km. Our analysis indicates that a slight oblateness in the body (0.006 +/-
0.003) best matches the data, with a confidence level of 86%. The oblateness
has a pole position angle of 71.4 deg +/- 10.4 deg and is consistent with
Charon's pole position angle of 67 deg. Charon's mean radius corresponds to a
bulk density of 1.63 +/- 0.07 g/cm3, which is significantly less than Pluto's
(1.92 +/- 0.12 g/cm3). This density differential favors an impact formation
scenario for the system in which at least one of the impactors was
differentiated. Finally, unexplained differences between chord timings measured
at Cerro Pachon and the rest of the data set could be indicative of a
depression as deep as 7 km on Charon's limb.Comment: 25 pages including 4 tables and 2 figures. Submitted to the
Astronomical Journal on 2006 Feb 0
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