336,545 research outputs found
Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit coupling
We investigate the low-energy scattering and bound states of two
two-component fermionic atoms in pure two-dimensional (2D) and quasi-2D
confinements with Rashba spin-orbit coupling (SOC). We find that the SOC
qualitatively changes the behavior of the 2D scattering amplitude in the
low-energy limit. For quasi-2D systems we obtain the analytic expression for
the effective-2D scattering amplitude and the algebraic equations for the
two-atom bound state energy. Based on these results, we further derive the
effective 2D interaction potential between two ultracold atoms in the quasi-2D
confinement with Rashba SOC. These results are crucial for the control of the
2D effective physics in quasi-2D geometry via the confinement intensity and the
atomic three-dimensional scattering length.Comment: 13pages, 5 figure
Change-point model on nonhomogeneous Poisson processes with application in copy number profiling by next-generation DNA sequencing
We propose a flexible change-point model for inhomogeneous Poisson Processes,
which arise naturally from next-generation DNA sequencing, and derive score and
generalized likelihood statistics for shifts in intensity functions. We
construct a modified Bayesian information criterion (mBIC) to guide model
selection, and point-wise approximate Bayesian confidence intervals for
assessing the confidence in the segmentation. The model is applied to DNA Copy
Number profiling with sequencing data and evaluated on simulated spike-in and
real data sets.Comment: Published in at http://dx.doi.org/10.1214/11-AOAS517 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling
We show that the Bethe-Peierls (BP) boundary condition should be modified for
ultracold atoms with spin-orbit (SO) coupling. Moreover, we derive a general
form of the modified BP boundary condition, which is applicable to a system
with arbitrary kind of SO coupling. In the modified BP condition, an
anisotropic term appears and the inter-atomic scattering length is normally
SO-coupling dependent. For the special system in the current experiments,
however, it can be proved that the scattering length is SO-coupling
independent, and takes the same value as in the case without SO coupling. Our
result is helpful for the study of both few-body and many-body physics in
SO-coupled ultracold gases.Comment: 8 pages, significant improvement is made in the current versio
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