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8 papers · 1 filter
A criterion for Talagrand's quadratic transportation cost inequality
Patrick Cattiaux, Arnaud Guillin
We show that the quadratic transportation cost inequality is equivalent to both a Poincaré inequality and a strong form of the Gaussian concentration property. The main ingre…
Soft lambda-calculus: a language for polynomial time computation
Patrick Baillot, Virgile Mogbil
Soft linear logic ([Lafont02]) is a subsystem of linear logic characterizing the class PTIME. We introduce Soft lambda-calculus as a calculus typable in the intuitionistic and affi…
Observation of Reduced Three-Body Recombination in a Fermionized 1D Bose Gas
B. Laburthe Tolra, K. M. O'Hara, J. H. Huckans +3
We investigate correlation properties of a one-dimensional interacting Bose gas by loading a magnetically trapped 87-Rb Bose-Einstein condensate into a deep two-dimensional optical…
The integrated density of states for an interacting multielectron homogeneous model
Frederic Klopp, Heribert Zenk
For a system of n interacting electrons moving in the background of a "homogeneous" potential, we show that, if the single electron Hamiltonian admits a density of states, so does…
Geometric tools of the adiabatic complex WKB method
Alexander Fedotov, Frederic Klopp
The paper is devoted to the description of the main geometric and analytic tools of a complex WKB method for adiabatic problem. We illustrate their use by numerous examples.
Schemes for loading a Bose-Einstein condensate into a two-dimensional dipole trap
Yves Colombe, Demascoth Kadio, Maxim Olshanii +3
We propose two loading mechanisms of a degenerate Bose gas into a surface trap. This trap relies on the dipole potential produced by two evanescent optical waves far detuned from t…