56,801 research outputs found
A study of Wigner functions for discrete-time quantum walks
We perform a systematic study of the discrete time Quantum Walk on one
dimension using Wigner functions, which are generalized to include the
chirality (or coin) degree of freedom. In particular, we analyze the evolution
of the negative volume in phase space, as a function of time, for different
initial states. This negativity can be used to quantify the degree of departure
of the system from a classical state. We also relate this quantity to the
entanglement between the coin and walker subspaces.Comment: 16 pages, 8 figure
Contractions, Hopf algebra extensions and cov. differential calculus
We re-examine all the contractions related with the
deformed algebra and study the consequences that the contraction process has
for their structure. We also show using
as an example that, as in the undeformed case, the contraction may generate
Hopf algebra cohomology. We shall show that most of the different Hopf algebra
deformations obtained have a bicrossproduct or a cocycle bicrossproduct
structure, for which we shall also give their dual `group' versions. The
bicovariant differential calculi on the deformed spaces associated with the
contracted algebras and the requirements for their existence are examined as
well.Comment: TeX file, 25 pages. Macros are include
Correlations in nuclear energy recurrence relations
The excitation energies of states belonging to the ground state bands of
heavy even-even nuclei are analysed using recurrence relations. Excellent
agreement with experimental data at the 10 keV level is obtained by taking into
account strong correlations which emerge in the analysis. This implies that the
excitation energies can be written as a polynomial of maximum degree four in
the angular momentum.Comment: 4 pages, 1 figure, 1 table, 9 reference
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