Generalized qudit Choi maps

Following the linear programming prescription of Ref. \cite{PRA72}, the $d\otimes d$ Bell diagonal entanglement witnesses are provided. By using Jamiolkowski isomorphism, it is shown that the corresponding positive maps are the generalized qudit Choi maps. Also by manipulating particular $d\otimes d$ Bell diagonal separable states and constructing corresponding bound entangled states, it is shown that thus obtained $d\otimes d$ BDEW's (consequently qudit Choi maps) are non-decomposable in certain range of their parameters.Comment: 22 page

New Primary Standards for Establishing SI Traceability for Moisture Measurements in Solid Materials

partially_open17sìA European research project METefnet addresses a fundamental obstacle to improving energy-intensive drying process control: due to ambiguous reference analysis methods and insufficient methods for estimating uncertainty in moisture measurements, the achievable accuracy in the past was limited and measurement uncertainties were largely unknown. This paper reports the developments in METefnet that provide a sound basis for the SI traceability: four new primary standards for realizing the water mass fraction were set up, analyzed and compared to each other. The operation of these standards is based on combining sample weighing with different water vapor detection techniques: cold trap, chilled mirror, electrolytic and coulometric Karl Fischer titration. The results show that an equivalence of 0.2 % has been achieved between the water mass fraction realizations and that the developed methods are applicable to a wide range of materials.partially_openHeinonen, M.; Bell, S.; Choi, B. Il; Cortellessa, G.; Fernicola, V.; Georgin, E.; Hudoklin, D.; Ionescu, G. V.; Ismail, N.; Keawprasert, T.; Krasheninina, M.; Aro, R.; Nielsen, J.; Oğuz Aytekin, S.; Österberg, P.; Skabar, J.; Strnad, R.Heinonen, M.; Bell, S.; Choi, B. Il; Cortellessa, G.; Fernicola, V.; Georgin, E.; Hudoklin, D.; Ionescu, G. V.; Ismail, N.; Keawprasert, T.; Krasheninina, M.; Aro, R.; Nielsen, J.; Oğuz Aytekin, S.; Österberg, P.; Skabar, J.; Strnad, R

The Quantum No-Stretching: A geometrical interpretation of the no-cloning theorem

We consider the ideal situation in which a space rotation is transferred from a quantum spin j to a quantum spin l different from j. Quantum-information theoretical considerations lead to the conclusion that such operation is possible only for lj. For l>j the optimal stretching transformation is derived. We show that for qubits the present no-stretching theorem is equivalent to the usual no-cloning theorem

Heavy quark spin selection rule and the properties of the X(3872)

The properties of the resonance X(3872) are discussed under the assumption that this resonance is dominantly a `molecular' $J^{PC}=1^{++}$ state of neutral $D$ and $D^*$ mesons. It is argued that in these properties should dominate the states with the total spin of the charmed quark-antiquark pair equal to one. As a practical application of this observation the ratio of the rates of the decays $X \to \pi^0 \chi_{cJ}$ for different $J$ is predicted. It is also pointed out that the total rate of these decays is likely to be comparable to that of the observed transitions $X \to \pi^+ \pi^- J\psi$ and $X \to \pi^+ \pi^- \pi^0 J\psi$. The decays of the X into light hadrons and its production in hadronic processes are also briefly discussed.Comment: 7 page

Is X(3872) a possible candidate of hybrid meson

The associate productions of X(3872) and J/\psi in hadron collisions and flavor independence of hadrons in ee^+\to X(3872)+hadrons and the decays X(3872)\to \gamma+hadrons are discussed. It is pointed out X(3872)\to J/\psi+\sigma could be a significant decay channel.Comment: 13 page

CCM.G-K2 key comparison

open55sìIn November 2013 an International Key Comparison, CCM.G-K2, was organized in the Underground Laboratory for Geodynamics in Walferdange. The comparison has assembled 25 participants coming from 19 countries and four different continents. The comparison was divided into two parts: the key comparison that included 10 NMIs or DIs, and the pilot study including all participants. The global result given by the pilot study confirms that all instruments are absolutely coherent to each other. The results obtained for the key comparison confirm a good agreement between the NMI instrumentsopenO. Francis; H. Baumann; C. Ullrich; S. Castelein; M. Van Camp; M. Andrade de Sousa; R. Lima Melhorato; C. Li; J. Xu; D. Su; S. Wu; H. Hu; K. Wu; G. Li; Z. Li; W. Hsieh; V. Pálinkás; J. Kostelecký; J. Mäkinen; J. Näränen; S. Merlet; F. Pereira Dos Santos; P. Gillot; J. Hinderer; J. D. Bernard; N. Le Moigne; B. Fores; O. Gitlein; M. Schilling; R. Falk; H. Wilmes; Germak A.; E. Biolcati; C. Origlia; D. Iacovone; F. Baccaro; S. Mizushima; R. De Plaen; G. Klein; M. Seil; R. Radinovic; M. Sekowski; P. Dykowski; I. M. Choi; M. S. Kim; A. Borreguero; S. Sainz-Maza; M. Calvo; A. Engfeldt; J. Agren; R. Reudink; M. Eckl; D. van Westrum; R. Billson; B. EllisFrancis, O.; Baumann, H.; Ullrich, C.; Castelein, S.; Van Camp, M.; Andrade de Sousa, M.; Lima Melhorato, R.; Li, C.; Xu, J.; Su, D.; Wu, S.; Hu, H.; Wu, K.; Li, G.; Li, Z.; Hsieh, W.; Pálinkás, V.; Kostelecký, J.; Mäkinen, J.; Näränen, J.; Merlet, S.; Pereira Dos Santos, F.; Gillot, P.; Hinderer, J.; Bernard, J. D.; Le Moigne, N.; Fores, B.; Gitlein, O.; Schilling, M.; Falk, R.; Wilmes, H.; Germak, ALESSANDRO FRANCO LIDIA; Biolcati, E.; Origlia, C.; Iacovone, D.; Baccaro, F.; Mizushima, S.; De Plaen, R.; Klein, G.; Seil, M.; Radinovic, R.; Sekowski, M.; Dykowski, P.; Choi, I. M.; Kim, M. S.; Borreguero, A.; Sainz Maza, S.; Calvo, M.; Engfeldt, A.; Agren, J.; Reudink, R.; Eckl, M.; van Westrum, D.; Billson, R.; Ellis, B

Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices

We have loaded Bose-Einstein condensates into one-dimensional, off-resonant optical lattices and accelerated them by chirping the frequency difference between the two lattice beams. For small values of the lattice well-depth, Bloch oscillations were observed. Reducing the potential depth further, Landau-Zener tunneling out of the lowest lattice band, leading to a breakdown of the oscillations, was also studied and used as a probe for the effective potential resulting from mean-field interactions as predicted by Choi and Niu [Phys. Rev. Lett. {\bf 82}, 2022 (1999)]. The effective potential was measured for various condensate densities and trap geometries, yielding good qualitative agreement with theoretical calculations.Comment: 5 pages, 3 figures; accepted for publication in Physical Review Letter

Evaluations of some terminating hypergeometric ₂F₁(2) series with applications

Explicit expressions for the hypergeometric series 2F1(-n, a; 2a±j; 2) and 2F1(-n, a;-2n±j; 2) for positive integer n and arbitrary integer j are obtained with the help of generalizations of Kummer's second and third summation theorems obtained earlier by Rakha and Rathie. Results for |j| ≤ 5 derived previously using different methods are also obtained as special cases. Two applications are considered, where the first summation formula is applied to a terminating 3F2(2) series and the confluent hypergeometric function 1F1(x).</p