A5007283113- Algebraic structures and combinatorial models
- Advanced Topics in Algebra
- Advanced Algebra and Geometry
- Nonlinear Waves and Solitons
- Cold Atom Physics and Bose-Einstein Condensates
- Atomic and Subatomic Physics Research
- Advanced Frequency and Time Standards
- Quantum Mechanics and Applications
- Advanced Operator Algebra Research
- Advanced Combinatorial Mathematics
- Radioactive Decay and Measurement Techniques
- Commutative Algebra and Its Applications
- Quantum Mechanics and Non-Hermitian Physics
- Noncommutative and Quantum Gravity Theories
- Aerosol Filtration and Electrostatic Precipitation
- Microfluidic and Bio-sensing Technologies
- Polynomial and algebraic computation
- Photoacoustic and Ultrasonic Imaging
- Advanced NMR Techniques and Applications
- Advanced Algebra and Logic
- Dark Matter and Cosmic Phenomena
- Relativity and Gravitational Theory
- Quantum Information and Cryptography
- Advanced Mathematical Theories and Applications
- Algebraic Geometry and Number Theory
Iowa State University
2016-2025
Leibniz University Hannover
2010-2020
University of California, Riverside
2013-2015
University of California System
2013
Stanford University
2012
Chalmers University of Technology
2005-2011
University of Gothenburg
2006-2011
University of Amsterdam
2009
We simultaneously measure the gravitationally induced phase shift in two Raman-type matter-wave interferometers operated with laser-cooled ensembles of Rb87 and K39 atoms. Our measurement yields an Eötvös ratio ηRb,K=(0.3±5.4)×10−7. briefly estimate possible bias effects present strategies for future improvements.Received 1 April 2014DOI:https://doi.org/10.1103/PhysRevLett.112.203002© 2014 American Physical Society
The theory of general relativity describes macroscopic phenomena driven by the influence gravity while quantum mechanics brilliantly accounts for microscopic effects.Despite their tremendous individual success, a complete unification fundamental interactions is missing and remains one most challenging important quests in modern theoretical physics.The STE-QUEST satellite mission, proposed as medium-size mission within Cosmic Vision program European Space Agency (ESA), aims testing with high...
We propose a very long baseline atom interferometer test of Einstein's equivalence principle (EEP) with ytterbium and rubidium extending over 10m free fall. In view existing parametrizations EEP violations, this choice masses significantly broadens the scope interferometric tests respect to other performed or proposed by comparing two elements high atomic numbers. first step, our experimental scheme will allow reaching an accuracy in E\"otv\"os ratio $7\times 10^{-13}$. This achievement...
We report on an improved test of the Universality Free Fall using a rubidium-potassium dual-species matter wave interferometer. describe our apparatus and detail challenges solutions relevant when operating potassium interferometer, as well systematic effects affecting measurement. Our determination E\"otv\"os ratio yields $\eta_{\,\text{Rb,K}}=-1.9\times10^{-7}$ with combined standard uncertainty $\sigma_\eta=3.2\times10^{-7}$.
Given a map $\Xi\colon U(\mathfrak{g})\rightarrow A$ of associative algebras, with $U(\mathfrak{g})$ the universal enveloping algebra (complex) finite-dimensional reductive Lie $\mathfrak{g}$, restriction functor from $A$-modules to $U(\mathfrak{g})$-modules is intimately tied representation theory an $A$-subquotient known as reduction respect $(A,\mathfrak{g},\Xi)$. Herlemont and Ogievetsky described differential algebras for general linear $\mathfrak{gl}(n)$ deformed operators. Their $\Xi$...
This paper presents the current status and future prospects of Space Atom Interferometer project (SAI), funded by European Agency. interferometry provides extremely sensitive accurate tools for measurement inertial forces. Operation atom interferometers in microgravity is expected to enhance performance such sensors. Main goal SAI demonstrate possibility placing space. The resulting drop-tower compatible acceleration sensor prototype described. Expected limits potential scientific...
In this paper we discuss in detail an experimental scheme to test the universality of free fall (UFF) with a differential $^{87}$Rb / $^{85}$Rb atom interferometer applicable for extended several seconds frame STE-QUEST mission. This analysis focuses on suppression noise and error sources which would limit accuracy violation measurement. We show that choice atomic species correctly matched parameters sequence are utmost importance suppress leading order phase shifts. conclusion will expected...
We report on a simple trapping scheme for the generation of Bose-Einstein condensates $^{87}\mathrm{Rb}$ atoms. This employs near-infrared single-beam optical dipole trap combined with weak magnetic quadrupole field as used magneto-optical to enhance confinement in axial direction. Efficient forced evaporative cooling phase transition is achieved this hybrid via reduction laser intensity at constant gradient.
We construct weak (i.e. non-graded) modules over the vertex operator algebra $M(1)^+$, which is fixed-point subalgebra of higher rank free bosonic (Heisenberg) with respect to $-1$ automorphism. These are constructed from Whittaker for Heisenberg algebra. prove that simple as $M(1)^+$ and calculate their type when regarded Virasoro Lie Lastly, we show any module occurs in this way. results a generalization some by Tanabe.
A twisted generalized Weyl algebra $A$ of degree $n$ depends on a base $R$, commuting automorphisms $\sigma _i$ central elements $t_i$ $R$ and some additional scalar parameters. In paper by Mazorchuk Turowska, it is claimed that certain consistency conditions for are sufficient the to be nontrivial. However, in this we give an example which shows false. We also correct statement finding new set prove old together necessary map injectively into $A$. particular they speculate these relations...
Twisted generalized Weyl algebras (TGWAs) are defined as the quotient of a certain graded algebra by maximal ideal I with trivial zero component, analogous to how Kac-Moody can be defined. In this paper we introduce class locally finite TGWAs, and show that one associate such an polynomial Cartan matrix (a notion extending usual matrices appearing in theory) corresponding Serre relations hold TGWA. We also give explicit construction family TGWAs depending on symmetric C some scalars. The may...