922 research outputs found
Noncyclic and nonadiabatic geometric phase for counting statistics
We propose a general framework of the geometric-phase interpretation for
counting statistics. Counting statistics is a scheme to count the number of
specific transitions in a stochastic process. The cumulant generating function
for the counting statistics can be interpreted as a `phase', and it is
generally divided into two parts: the dynamical phase and a remaining one. It
has already been shown that for cyclic evolution the remaining phase
corresponds to a geometric phase, such as the Berry phase or Aharonov-Anandan
phase. We here show that the remaining phase also has an interpretation as a
geometric phase even in noncyclic and nonadiabatic evolution.Comment: 12 pages, 1 figur
Topological stripelike coreless textures with inner incommensurability in two-dimensional Heisenberg antiferromagnet
For two-dimensional Heisenberg antiferromagnet we present an analysis of
topological coreless excitations having a stripe form. These textures are
characterized by singularities at boundaries. A detailed classification of the
stripe textures results in a certain analogy with the coreless excitations in
phase: Mermin-Ho and Anderson-Toulouse coreless vortices. The
excitations of the last type may have a low bulk energy. The stripe textures
may be observed as an occurrence of short-range incommensurate order in the
antiferromagnetic environment
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