43,008 research outputs found
Chain of Hardy-type local reality constraints for qubits
Non-locality without inequality is an elegant argument introduced by L. Hardy
for two qubit systems, and later generalised to qubits, to establish
contradiction of quantum theory with local realism. Interestingly, for
this argument is actually a corollary of Bell-type inequalities, viz. the
CH-Hardy inequality involving Bell correlations, but for greater than 2 it
involves -particle probabilities more general than Bell-correlations. In
this paper, we first derive a chain of completely new local realistic
inequalities involving joint probabilities for qubits, and then, associated
to each such inequality, we provide a new Hardy-type local reality constraint
without inequalities. Quantum mechanical maximal violations of the chain of
inequalities and of the associated constraints are also studied by deriving
appropriate Cirel'son type theorems. These results involving joint
probabilities more general than Bell correlations are expected to provide a new
systematic tool to investigate entanglement.Comment: 10 pages, Late
Photons from anisotropic Quark-Gluon-Plasma
We calculate medium photons due to Compton and annihilation processes in an
anisotropic media. The effects of time-dependent momentum-space anisotropy of
{\em Quark-Gluon-Plasma} (QGP) on the medium photon production are discussed.
Such an anisotropy can results from the initial rapid longitudinal expansion of
the matter, created in relativistic heavy ion collisions. A phenomenological
model for the time-dependence of the parton hard momentum scale,
, and anisotropy parameter, , has been used to
describe the plasma space-time evolution. We find significant dependency of
photon yield on the isotropization time (). It is shown that the
introduction of early time momentum-space anisotropy can enhance the photon
production by a factor of (in the central rapidity region) for {\em
free streaming} ({\em collisionally-broadened}) {\em interpolating} model if we
assume fixed initial condition. On the other hand, enforcing the fixed final
multiplicity significantly reduces the enhancement of medium photon production.Comment: 15 pages, 19 figures, few refs added, one new paragraph is added in
introduction, published in Physical Rev.
Bright solitons in asymmetrically trapped Bose-Einstein condensate
We study the dynamics of bright solitons in a Bose-Einstein condensate (BEC)
confined in a highly asymmetric trap. While working within the f ramework of a
variational approach we carry out the stability analysis o f BEC solitons
against collapse. When the number of atoms in the soliton exceeds a critical
number , it undergoes the so called primary col lapse. We find an
analytical expression for in terms of appropriat e experimental
quantities that are used to produce and confine the conde nsate. We further
demonstrate that, in the geometry of the problem consi dered, the width of the
soliton varies inversely as the number of consti tuent atoms.Comment: 5 pages, 1 figure
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