370 citations
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7 papers · 1 filter
Shape of the ground state energy density of Hill's equation with nice Gaussian potential
Jose A. Ramirez, Brian Rider
Consider Hill's operator Q = -D^2 + q(x) in which the potential q(x) is an almost surely continuous and rotation invariant Gaussian process on the circle of perimeter one. Viewing…
Gelfand-Graev characters of the finite unitary groups
Nathaniel Thiem, C. Ryan Vinroot
Gelfand-Graev characters and their degenerate counterparts have an important role in the representation theory of finite groups of Lie type. Using a characteristic map to translate…
Compact, thermal-noise-limited optical cavity for diode laser stabilization at 1 x 10-15
A. D. Ludlow, X. Huang*, M. Notcutt +5
We demonstrate phase and frequency stabilization of a diode laser at the thermal noise limit of a passive optical cavity. The system is compact and exploits a cavity design that re…
Is There Enhanced Depletion of Gas-Phase Nitrogen in Moderately Reddened Lines of Sight?
Adam G. Jensen, Brian L. Rachford, Theodore P. Snow
We report on the abundance of interstellar neutral nitrogen (NI) for 30 sightlines, using data from the Far Ultraviolet Spectroscopic Explorer (FUSE) and the Hubble Space Telescope…
Laser cooling and trapping of atomic strontium for ultracold atom physics, high-precision spectroscopy and quantum sensors
F. Sorrentino, G. Ferrari, N. Poli +2
This review describes the production of atomic strontium samples at ultra-low temperature and at high phase-space density, and their possible use for physical studies and applicati…
Two-dimensional multi-pole solitons in nonlocal nonlinear media
Carmel Rotschild, Zhiyong Xu, Oren Cohen +3
We present the experimental observation of scalar multi-pole solitons in highly nonlocal nonlinear media, including dipole-, tri-pole, quadru-pole, and necklace-type solitons, orga…