4,445 research outputs found
Entanglement witness operator for quantum teleportation
The ability of entangled states to act as resource for teleportation is
linked to a property of the fully entangled fraction. We show that the set of
states with their fully entangled fraction bounded by a threshold value
required for performing teleportation is both convex and compact. This feature
enables for the existence of hermitian witness operators the measurement of
which could distinguish unknown states useful for performing teleportation. We
present an example of such a witness operator illustrating it for different
classes of states.Comment: Minor revisions to match the published version. Accepted for
publication in Physical Review Letter
Universal scaling in BCS superconductivity in two dimensions in non-s waves
The solutions of a renormalized BCS model are studied in two space dimensions
in , and waves for finite-range separable potentials. The gap
parameter, the critical temperature , the coherence length and the
jump in specific heat at as a function of zero-temperature condensation
energy exhibit universal scalings. In the weak-coupling limit, the present
model yields a small and large appropriate to those for high-
cuprates. The specific heat, penetration depth and thermal conductivity as a
function of temperature show universal scaling in and waves.Comment: 11 pages, LATEX, 4 postscript figures embedded using eps
Localization of a dipolar Bose-Einstein condensate in a bichromatic optical lattice
By numerical simulation and variational analysis of the Gross-Pitaevskii
equation we study the localization, with an exponential tail, of a dipolar
Bose-Einstein condensate (DBEC) of Cr atoms in a three-dimensional
bichromatic optical-lattice (OL) generated by two monochromatic OL of
incommensurate wavelengths along three orthogonal directions. For a fixed
dipole-dipole interaction, a localized state of a small number of atoms () could be obtained when the short-range interaction is not too attractive
or not too repulsive. A phase diagram showing the region of stability of a DBEC
with short-range interaction and dipole-dipole interaction is given
Dimensional versus cut-off renormalization and the nucleon-nucleon interaction
The role of dimensional regularization is discussed and compared with that of
cut-off regularization in some quantum mechanical problems with ultraviolet
divergence in two and three dimensions with special emphasis on the
nucleon-nucleon interaction. Both types of renormalizations are performed for
attractive divergent one- and two-term separable potentials, a divergent tensor
potential, and the sum of a delta function and its derivatives. We allow
energy-dependent couplings, and determine the form that these couplings should
take if equivalence between the two regularization schemes is to be enforced.
We also perform renormalization of an attractive separable potential superposed
on an analytic divergent potential.Comment: 19 pages + one postscript figur
The eigenspectra of Indian musical drums
In a family of drums used in the Indian subcontinent, the circular drum head
is made of material of non-uniform density. Remarkably, and in contrast to a
circular membrane of uniform density, the low eigenmodes of the non-uniform
membrane are harmonic. In this work we model the drum head by a non-uniform
membrane whose density varies smoothly between two prescribed values. Using a
Fourier-Chebyshev spectral collocation method we obtain the eigenmodes and
eigenvalues of the drum head. For a suitable choice of parameters, which we
find by optimising a cost function, the eigenspectra obtained from our model
are in excellent agreement with experimental values. Our model and the
numerical method should find application in numerical sound synthesis
Relativistic Effect on Low-Energy Nucleon-Deuteron Scattering
The relativistic effect on differential cross sections, nucleon-to-nucleon
and nucleon-to-deuteron polarization transfer coefficients, and the spin
correlation function, of nucleon-deuteron elastic scattering is investigated
employing several three-dimensional relativistic three-body equations and
several nucleon-nucleon potentials. The polarization transfer coefficients are
found to be sensitive to the details of the nucleon-nucleon potentials and the
relativistic dynamics employed, and prefer trinucleon models with the correct
triton binding energy. (To appear in Phys. Rev. C)Comment: pages: 21, LaTex text + 7 ps-figures at the en
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