1,940 research outputs found
On infinitesimal deformations of cmc surfaces of finite type in the 3-sphere
We describe infinitesimal deformations of constant mean curvature surfaces of
finite type in the 3-sphere. We use Baker-Akhiezer functions to describe such
deformations, as well as polynomial Killing fields and the corresponding
spectral curve to distinguish between isospectral and non-isospectral
deformations.Comment: 19 page
On mean-convex Alexandrov embedded surfaces in the 3-sphere
We consider mean-convex Alexandrov embedded surfaces in the round unit
3-sphere, and show under which conditions it is possible to continuously deform
these preserving mean-convex Alexandrov embeddedness.Comment: arXiv admin note: substantial text overlap with arXiv:1309.427
Flows of constant mean curvature tori in the 3-sphere: The equivariant case
We present a deformation for constant mean curvature tori in the 3-sphere. We
show that the moduli space of equivariant constant mean curvature tori in the
3-sphere is connected, and we classify the minimal, the embedded, and the
Alexandrov embedded tori therein. We conclude with an instability result.Comment: v2: 33 pages, 9 figures. Instability result adde
A hybrid model for Rydberg gases including exact two-body correlations
A model for the simulation of ensembles of laser-driven Rydberg-Rydberg
interacting multi-level atoms is discussed. Our hybrid approach combines an
exact two-body treatment of nearby atom pairs with an effective approximate
treatment for spatially separated pairs. We propose an optimized evolution
equation based only on the system steady state, and a time-independent Monte
Carlo technique is used to efficiently determine this steady state. The hybrid
model predicts features in the pair correlation function arising from
multi-atom processes which existing models can only partially reproduce. Our
interpretation of these features shows that higher-order correlations are
relevant already at low densities. Finally, we analyze the performance of our
model in the high-density case.Comment: significantly expanded and revised version (more observables,
high-density regime); 9 pages, 8 figure
- …