35,704 research outputs found
Revealing Majorana Fermion states in a superfluid of cold atoms subject to a harmonic potential
We here explore Majorana Fermion states in an s-wave superfluid of cold atoms
in the presence of spin-orbital coupling and an additional harmonic potential.
The superfluid boundary is induced by a harmonic trap. Two locally separated
Majorana Fermion states are revealed numerically based on the self-consistent
Bogoliubov-de Gennes equations. The local density of states are calculated,
through which the signatures of Majorana excitations may be indicated
experimentally
Ellsberg Paradox: Ambiguity And Complexity Aversions Compared
We present a simple model where preferences with complexity aversion, rather than ambiguity aversion, resolve the Ellsberg paradox. We test our theory using laboratory experiments where subjects choose among lotteries that “range” from a simple risky lottery, through risky but more complex lotteries, to one similar to Ellsberg’s ambiguity urn. Our model ranks lotteries according to their complexity and makes different—at times contrasting—predictions than most models of ambiguity in response to manipulations of prizes. The results support that complexity aversion preferences play an important and separate role from beliefs with ambiguity aversion in explaining behavior under uncertainty
Rapid algorithm for identifying backbones in the two-dimensional percolation model
We present a rapid algorithm for identifying the current-carrying backbone in
the percolation model. It applies to general two-dimensional graphs with open
boundary conditions. Complemented by the modified Hoshen-Kopelman cluster
labeling algorithm, our algorithm identifies dangling parts using their local
properties. For planar graphs, it finds the backbone almost four times as fast
as Tarjan's depth-first-search algorithm, and uses the memory of the same size
as the modified Hoshen-Kopelman algorithm. Comparison with other algorithms for
backbone identification is addressed.Comment: 5 pages with 5 eps figures. RevTeX 3.1. Clarify the origin of the
hull-generating algorith
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