856 citations
- University of CopenhagenDK9 papers
- European Southern ObservatoryCL7 papers
- Instituto de Astrofísica de AndalucíaES5 papers
- Leibniz Institute for Astrophysics PotsdamDE3 papers
- University of BergenNO3 papers
- University of IcelandIS3 papers
- University of Notre DameUS3 papers
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- Max Planck Institute of Quantum OpticsDE2 papers
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14 papers · 1 filter
Quantum noise limited interferometric measurement of atomic noise: towards spin squeezing on the Cs clock transition
Daniel Oblak, Jens K. Mikkelsen, Wolfgang Tittel +5
We investigate theoretically and experimentally a nondestructive interferometric measurement of the state population of an ensemble of laser cooled and trapped atoms. This study is…
On separability of quantum states and the violation of Bell-type inequalities
Elena R. Loubenets
In contrast to the wide-spread opinion that any separable quantum state satisfies every classical probabilistic constraint, we present a simple example where a separable quantum st…
Positivity of quiver coefficients through Thom polynomials
A. S. Buch, L. M. Feher, R. Rimanyi
Let r be an orbit of the quiver representation of type A_n (equioriented case). In this paper we study the Poincare dual of the closure of r (a.c.a. Thom polynomial/degeneracy loci…
"Local Realism", Bell's Theorem and Quantum "Locally Realistic" Inequalities
Elena R. Loubenets
Based on the new general framework for the probabilistic description of experiments, introduced in quant-ph/0305126, quant-ph/0312199, we analyze in mathematical terms the link bet…
Modular symbols have a normal distribution
Yiannis N. Petridis, Morten Skarsholm Risager
We prove that the modular symbols appropriately normalized and ordered have a Gaussian distribution for all cofinite subgroups of SL_2(R). We use spectral deformations to study the…
Specializations of Grothendieck polynomials
Anders S. Buch, Richard Rimanyi
We prove a formula for double Schubert and Grothendieck polynomials specialized to two rearrangements of the same set of variables. Our formula generalizes the usual formulas for S…