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46 papers · 1 filter
Collective decoherence of cold atoms coupled to a Bose-Einstein condensate
M. A. Cirone, G. De Chiara, G. M. Palma +1
We examine the time evolution of cold atoms (impurities) interacting with an environment consisting of a degenerate bosonic quantum gas. The impurity atoms differ from the environm…
Comment on "Nongeometric Conditional Phase Shift via Adiabatic Evolution of Dark Eigenstates: A New Approach to Quantum Computation"
Ognyan Oreshkov, John Calsamiglia
In [Phys. Rev. Lett. 95, 080502 (2005)], Zheng proposed a scheme for implementing a conditional phase shift via adiabatic passages. The author claims that the gate is "neither of d…
Almost free modules and Mittag--Leffler conditions
Dolors Herbera, Jan Trlifaj
Drinfeld recently suggested to replace projective modules by the flat Mittag--Leffler ones in the definition of an infinite dimensional vector bundle on a scheme . Two questions…
Squares in arithmetic progression over number fields
Xavier Xarles
We show that there exists an upper bound for the number of squares in arithmetic progression over a number field that depends only on the degree of the field. We show that this bou…
Analytical Study of a Triple Hopf Bifurcation in a Tritrophic Food Chain Model
J. -P. Francoise, J. Llibre
We provide an analytical proof of the existence of a stable periodic orbit contained in the region of coexistence of the three species of a tritrophic chain. The method used consis…
The Probable Fate of the Standard Model
J. Ellis, J. R. Espinosa, G. F. Giudice +2
Extrapolating the Standard Model to high scales using the renormalisation group, three possibilities arise, depending on the mass of the Higgs boson: if the Higgs mass is large eno…