8,191 research outputs found
Comment on "Motion of an impurity particle in an ultracold quasi-one-dimensional gas of hard-core bosons [Phys. Rev. A 79, 033610 (2009)]"
Very recently Girardeau and Minguzzi [arXiv:0807.3366v2, Phys. Rev. A 79,
033610 (2009)] have studied an impurity in a one-dimensional gas of hard-core
bosons. In particular they deal with the general case where the mass of the
impurity is different from the mass of the bosons and the impurity-boson
interaction is not necessarily infinitely repulsive. We show that one of their
initial step is erroneous, contradicting both physical intuition and known
exact results. Their results in the general case apply only actually when the
mass of the impurity is infinite.Comment: Submitted to Phys. Rev. A on 30 April 200
Algebraic Density Functionals
A systematic strategy for the calculation of density functionals (DFs)
consists in coding informations about the density and the energy into
polynomials of the degrees of freedom of wave functions. DFs and Kohn-Sham
potentials (KSPs) are then obtained by standard elimination procedures of such
degrees of freedom between the polynomials. Numerical examples illustrate the
formalism.Comment: 7 pages, 2 figures, changes to extend discussion of Kohn-Sham
potentials, and also for interacting particles. Accepted for publication in
Physics Letters
Analytical theory of the dressed bound state in highly polarized Fermi gases
We present an analytical treatment of a single \down atom within a Fermi sea
of \up atoms, when the interaction is strong enough to produce a bound state,
dressed by the Fermi sea. Our method makes use of a diagrammatic analysis, with
the involved diagrams taking only into account at most two particle-hole pairs
excitations. The agreement with existing Monte-Carlo results is excellent. In
the BEC limit our equation reduces exactly to the Skorniakov and
Ter-Martirosian equation. We present results when \up and \down atoms have
different masses, which is of interest for experiments in progress.Comment: 5 pages, 3 figure
On the nonlinear response of a particle interacting with fermions in a 1D lattice
By the Bethe ansatz method we study the energy dispersion of a particle
interacting by a local interaction with fermions (or hard core bosons) of equal
mass in a one dimensional lattice. We focus on the period of the Bloch
oscillations which turns out to be related to the Fermi wavevector of the Fermi
sea and in particular on how this dispersion emerges as a collective effect in
the thermodynamic limit. We show by symmetry that the dispersion is temperature
independent for a half-filled system. We also discuss the adiabatic coherent
collective response of the particle to an applied field.Comment: 4 pages, 4 figure
Application of Laguerre based adaptive predictive control to Shape Memory Alloy (SMA) actuators
This paper discusses the use of an existing adaptive predictive controller to control some Shape Memory Alloy (SMA) linear actuators. The model consists in a truncated linear combination of Laguerre filters identified online. The controller stability is studied in details. It is proven that the tracking error is asymptotically stable under some conditions on the modelling error. Moreover, the tracking error converge toward zero for step references, even if the identified model is inaccurate. Experimentalcresults obtained on two different kind of actuator validate the proposed control. They also show that it is robust with regard to input constraints.ANR MAFESM
Is friction responsible for the reduction of fusion rates far below the Coulomb barrier?
The fusion of two interacting heavy ions traditionally has been interpreted
in terms of the penetration of the projectile into the target. Observed rates
well below the Coulomb barrier are considerably lower than estimates obtained
from penetration factors. One approach in the analysis of the data invokes
coupling to non-elastic channels in the scattering as the source of the
depletion. Another is to analyze those data in terms of tunneling in
semi-classical models, with the observed depletion being taken as evidence of a
``friction'' under the barrier. A complementary approach is to consider such
tunneling in terms of a fully quantal model. We investigate tunneling with both
one-dimensional and three-dimensional models in a fully quantal approach to
investigate possible sources for such a friction. We find that the observed
phenomenon may not be explained by friction. However, we find that under
certain conditions tunneling may be enhanced or diminished by up to 50%, which
finds analogy with observation, without the invocation of a friction under the
barrier.Comment: 18 pages, 15 figures embedde
Existence of Density Functionals for Excited States and Resonances
We show how every bound state of a finite system of identical fermions,
whether a ground state or an excited one, defines a density functional.
Degeneracies created by a symmetry group can be trivially lifted by a
pseudo-Zeeman effect. When complex scaling can be used to regularize a
resonance into a square integrable state, a DF also exists.Comment: 4 pages, no figure
Phenomenological discussion of decays in QCD improved factorization approach
Trying a global fit of the experimental branching ratios and CP-asymmetries
of the charmless decays according to QCD factorization, we find it
impossible to reach a satisfactory agreement, the confidence level (CL) of the
best fit is smaller than .1 %. This failure reflects the difficulty to
accommodate several large experimental branching ratios of the strange
channels. Furthermore, experiment was not able to exclude a large direct CP
asymmetry in , which is predicted very small by QCD
factorization. Proposing a fit with QCD factorization complemented by a
charming-penguin inspired model we reach a best fit which is not excluded by
experiment (CL of about 8 %) but is not fully convincing.
These negative results must be tempered by the remark that some of the
experimental data used are recent and might still evolve significantly.Comment: 8 pages, 2 figures (requires epsfig, psfrag),talk presented at the
XXXVIIIth Rencontres de Moriond: Electroweak Interactions and Unified
Theories,Les Arcs, France, March 15-22, 2003. To be published in the
Proceeding
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