11,317 research outputs found
The Dynamics of the Bounds of Squared Concurrence
We study the dynamics of upper and lower bounds of squared concurrence.Our
results are similar to that of Konard et al. and can help the estimation of
high-dimension bipartite entanglement in experiments.Comment: 5 pages, 2 figures accepted by PR
Particle Entanglement in Rotating Gases
In this paper, we investigate the particle entanglement in 2D
weakly-interacting rotating Bose and Fermi gases. We find that both particle
localization and vortex localization can be indicated by particle entanglement.
We also use particle entanglement to show the occurrence of edge reconstruction
of rotating fermions. The different properties of condensate phase and vortex
liquid phase of bosons can be reflected by particle entanglement and in vortex
liquid phase we construct a trial wave function in the viewpoint of
entanglement to relate the ground state with quantum Hall state. Finally, the
relation between particle entanglement and interaction strength is studied.Comment: 7 pages, 9 figure
The Decay of Multiqudit Entanglement
We investigate the decay of entanglement of a generalized N-qudit GHZ state,
with each qudit passing through independently in a quantum noisy channel. By
studying the time at which the entanglement completely vanishes and the time at
which the entanglement becomes arbitrarily small, we try to find how the
robustness of entanglement is influenced by dimension d and the number of
particles N.Comment: 4 pages, 3 figure
The K\"ahler Potential of Abelian Higgs Vortices
We calculate the K\"ahler potential for the Samols metric on the moduli space
of Abelian Higgs vortices on \mathbbm{R}^{2}, in two different ways. The
first uses a scaling argument. The second is related to the Polyakov conjecture
in Liouville field theory. The K\"ahler potential on the moduli space of
vortices on \mathbbm{H}^{2} is also derived, and we are led to a geometrical
reinterpretation of these vortices. Finally, we attempt to find the K\"ahler
potential for vortices on \mathbbm{R}^{2} in a third way by relating the
vortices to SU(2) Yang-Mills instantons on \mathbbm{R}^{2}\times S^{2}. This
approach does not give the correct result, and we offer a possible explanation
for this.Comment: 25 page
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