Simulations of the Angular Dependence of the Dipole-Dipole Interaction

We conducted simulations of Rydberg atoms in a magneto-optical trap using the supercomputer available on campus and the COMET supercomputer provided by the NSF. Our research focused on the angular dependence of the long range interaction between Rydberg atoms. We simulated randomly distributed atoms alligned with a magnetic and electric field. We compared the simulated interaction rates for different electric field directions

Simulations of the Angular Dependence of the Dipole-Dipole Interaction

In our project we ran computations on a supercomputer to simulate experiments performed on highly excited atoms at μK temperatures. At μK temperatures the atoms are moving slowly so there are essentially no collisions of the atoms on the time scales at which we perform our experiments. In the absence of collisions the atoms exchange energy through long range dipole-dipole interactions. This exchange depends on the distances between and relative orientation of the atoms. The angular dependence between two atoms has recently been studied experimentally1 . We simulate experimentally accessible spatial arrangements to see if the effect of the angular dependence can be measured in the many atom case. We present results that show that the angular dependence has a measurable effect on the time evolution of the spatial distribution of the energy in the system. 1. arXiv:1504.00301[physics.atom-ph

Simulations of the Angular Dependence of the Dipole-Dipole Interaction

In our project we ran computations on a supercomputer to simulate experiments performed on highly excited atoms at μK temperatures. At μK temperatures the atoms are moving slowly so there are essentially no collisions of the atoms on the time scales at which we perform our experiments. In the absence of collisions the atoms exchange energy through long range dipole-dipole interactions. This exchange depends on the distances between and relative orientation of the atoms. The angular dependence between two atoms has recently been studied experimentally1 . We simulate experimentally accessible spatial arrangements to see if the effect of the angular dependence can be measured in the many atom case. We present results that show that the angular dependence has a measurable effect on the time evolution of the spatial distribution of the energy in the system. 1. arXiv:1504.00301[physics.atom-ph

Simulations of the angular dependence of the dipole-dipole interaction among Rydberg atoms

The dipole-dipole interaction between two Rydberg atoms depends on the relative orientation of the atoms and on the change in the magnetic quantum number. We simulate the effect of this anisotropy on the energy transport in an amorphous many atom system subject to a homogeneous applied electric field. We consider two experimentally feasible geometries and find that the effects should be measurable in current generation imaging experiments. In both geometries atoms of $p$ character are localized to a small region of space which is immersed in a larger region that is filled with atoms of $s$ character. Energy transfer due to the dipole-dipole interaction can lead to a spread of $p$ character into the region initially occupied by $s$ atoms. Over long timescales the energy transport is confined to the volume near the border of the $p$ region which is suggestive of Anderson localization. We calculate a correlation length of 6.3~$\mu$m for one particular geometry.Comment: 6 pages, 5 figures, revised draf

Automorphisms on Central Extensions of Lattices

Even lattices and certain central extensions of these lattices are used to construct certain algebraic structures in representation theory called vertex operator algebras and their modules. Certain modules are constructed using automorphisms of the chosen lattice. In this project, we explored the lattice structures with certain desirable properties which allow the automorphism to be lifted nicely to an automorphism of the central extension of the lattice. In particular, we generalized certain results of Penn and Sadowski on lattices of type A and D to more general cases, which we call A-like and D-like, and also explored the dependence of the automorphism’s lifting on labeling of the generators of the lattice

Trends and risk factors for mortality in elderly burns patients: A retrospective review

Introduction: The elderly experience higher mortality rates and poorer outcomes compared to younger burn survivors with similar injuries. Methods: This epidemiological study reviewed records of all admitted elderly burn patients collected from five burns facilities in Israel between 1997–2016. Collected data was limited to the population aged 20+, focused on the population aged 60+. Results: Mortality rates for elderly patients increased with TBSA and increases with age. Regression analyses demonstrated a decrease in mortality of 2.9% (p = 0.013) per 5 years, an overall decrease of 11.6% over the 20-year study period, with the decline more significant for older age groups. This decrease in mortality was much larger than that observed for all burns patients over this period. The most common cause of injury in the elderly population was fire, with mortality rate highest for this cause. There was no effect of gender on mortality rate. Mortality increased when smoke inhalation was present for TBSA<20%, with mortality unaffected by the presence of smoke inhalation for higher TBSA. The need for surgery correlates with high mortality rates. Conclusion: This study identified key factors that impact mortality and demonstrated a large decrease in mortality in the elderly patients over the study period