534 research outputs found
Universality of weakly bound dimers and Efimov trimers close to Li-Cs Feshbach resonances
We study the interspecies scattering properties of ultracold Li-Cs mixtures
in their two energetically lowest spin channels in the magnetic field range
between 800 G and 1000 G. Close to two broad Feshbach resonances we create
weakly bound LiCs dimers by radio-frequency association and measure the
dependence of the binding energy on the external magnetic field strength. Based
on the binding energies and complementary atom loss spectroscopy of three other
Li-Cs s-wave Feshbach resonances we construct precise molecular singlet and
triplet electronic ground state potentials using a coupled-channels
calculation. We extract the Li-Cs interspecies scattering length as a function
of the external field and obtain almost a ten-fold improvement in the precision
of the values for the pole positions and widths of the s-wave Li-Cs Feshbach
resonances as compared to our previous work [Pires \textit{et al.}, Phys. Rev.
Lett. \textbf{112}, 250404 (2014)]. We discuss implications on the Efimov
scenario and the universal geometric scaling for LiCsCs trimers
Conformal scattering for a nonlinear wave equation on a curved background
The purpose of this paper is to establish a geometric scattering result for a
conformally invariant nonlinear wave equation on an asymptotically simple
spacetime. The scattering operator is obtained via trace operators at null
infinities. The proof is achieved in three steps. A priori linear estimates are
obtained via an adaptation of the Morawetz vector field in the Schwarzschild
spacetime and a method used by H\"ormander for the Goursat problem. A
well-posedness result for the characteristic Cauchy problem on a light cone at
infinity is then obtained. This requires a control of the nonlinearity uniform
in time which comes from an estimates of the Sobolev constant and a decay
assumption on the nonlinearity of the equation. Finally, the trace operators on
conformal infinities are built and used to define the conformal scattering
operator
Universal three-body recombination and Efimov resonances in an ultracold Li-Cs mixture
We study Efimov resonances via three-body loss in an ultracold two-component
gas of fermionic Li and bosonic Cs atoms close to a Feshbach
resonance at 843~G, extending results reported previously [Pires \textit{et
al.}, Phys. Rev. Lett. 112, 250404 (2014)] to temperatures around 120~nK. The
experimental scheme for reaching lower temperatures is based upon compensating
the gravity-induced spatial separation of the mass-imbalanced gases with
bichromatic optical dipole traps. We observe the first and second excited
Li-Cs-Cs Efimov resonance in the magnetic field dependence of the three-body
event rate constant, in good agreement with the universal zero-range theory at
finite temperature [Petrov and Werner, Phys. Rev. A 92, 022704 (2015)].
Deviations are found for the Efimov ground state, and the inelasticity
parameter is found to be significantly larger than those for
single-species systems
Simple Three-Integral Scale-Free Galaxy Models
The Jeans equations give the second moments or stresses required to support a
stellar population against the gravity field. A general solution of the Jeans
equations for arbitrary axisymmetric scale-free densities in flattened
scale-free potentials is given. A two-parameter subset of the solution for the
second moments for the self-consistent density of the power-law models, which
have exactly spheroidal equipotentials, is examined in detail. In the spherical
limit, the potential of these models reduces to that of the singular power-law
spheres. We build the physical three-integral distribution functions that
correspond to the flattened stellar components. Next, we attack the problem of
finding distribution functions associated with the Jeans solutions in flattened
scale-free potentials. The third or partial integral introduced by de Zeeuw,
Evans and Schwarzschild for Binney's model is generalised to thin and near-thin
orbits moving in arbitrary axisymmetric scale-free potentials. The partial
integral is a modification of the total angular momentum. For the
self-consistent power-law models, we show how this enables the construction of
simple three-integral distribution functions. The connexion between these
approximate distribution functions and the Jeans solutions is discussed in some
detail.Comment: 14 pages, 7 postscript figures, to appear in Monthly Notice
Место особо-охраняемых природных территорий Российской Федерации в социально-экономическом развитии регионов
Recovering the mass and the charge of a Reissner-Nordstr\"om black hole by an inverse scattering experiment
In this paper, we study inverse scattering of massless Dirac fields that
propagate in the exterior region of a Reissner-Nordstr\"om black hole. Using a
stationary approach we determine precisely the leading terms of the high-energy
asymptotic expansion of the scattering matrix that, in turn, permit us to
recover uniquely the mass of the black hole and its charge up to a sign
Local energy decay of massive Dirac fields in the 5D Myers-Perry metric
We consider massive Dirac fields evolving in the exterior region of a
5-dimensional Myers-Perry black hole and study their propagation properties.
Our main result states that the local energy of such fields decays in a weak
sense at late times. We obtain this result in two steps: first, using the
separability of the Dirac equation, we prove the absence of a pure point
spectrum for the corresponding Dirac operator; second, using a new form of the
equation adapted to the local rotations of the black hole, we show by a Mourre
theory argument that the spectrum is absolutely continuous. This leads directly
to our main result.Comment: 40 page
Metallic properties of magnesium point contacts
We present an experimental and theoretical study of the conductance and
stability of Mg atomic-sized contacts. Using Mechanically Controllable Break
Junctions (MCBJ), we have observed that the room temperature conductance
histograms exhibit a series of peaks, which suggests the existence of a shell
effect. Its periodicity, however, cannot be simply explained in terms of either
an atomic or electronic shell effect. We have also found that at room
temperature, contacts of the diameter of a single atom are absent. A possible
interpretation could be the occurrence of a metal-to-insulator transition as
the contact radius is reduced, in analogy with what it is known in the context
of Mg clusters. However, our first principle calculations show that while an
infinite linear chain can be insulating, Mg wires with larger atomic
coordinations, as in realistic atomic contacts, are alwaysmetallic. Finally, at
liquid helium temperature our measurements show that the conductance histogram
is dominated by a pronounced peak at the quantum of conductance. This is in
good agreement with our calculations based on a tight-binding model that
indicate that the conductance of a Mg one-atom contact is dominated by a single
fully open conduction channel.Comment: 14 pages, 5 figure
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