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J.?EstèveEmail author T.?Schumm J.-B.?Trebbia I.?Bouchoule A.?Aspect C. I.?Westbrook 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2005,35(1):141-146
We discuss design considerations and the realization of
a magnetic double-well potential on an atom chip using
current-carrying wires. Stability requirements for the trapping
potential lead to a typical size of order microns for such a
device. We also present experiments using the device to manipulate
cold, trapped atoms. 相似文献
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We investigate the physics underlying the presence of a quasicondensate in a nearly one dimensional, weakly interacting trapped atomic Bose gas. We show that a Hartree-Fock (mean-field) approach fails to predict the existence of the quasicondensate in the center of the cloud: the quasicondensate is generated by interaction-induced correlations between atoms and not by a saturation of the excited states. Numerical calculations based on Bogoliubov theory give an estimate of the crossover density in agreement with experimental results. 相似文献
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应用新发展的单一轨迹积分方法求解库仑加线性位的基态量子波函数,得到基态能量和波函数的一般解析表达式,并讨论了解的收敛性.应用此方法讨论了重夸克偶素系统. 相似文献
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T.?SchummEmail author J.?Estève C.?Figl J.-B.?Trebbia C.?Aussibal H.?Nguyen D.?Mailly I.?Bouchoule C. I.?Westbrook A.?Aspect 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2005,32(2):171-180
We present a detailed model describing the effects of
wire corrugation on the trapping potential experienced by a cloud
of atoms above a current carrying micro wire. We calculate the
distortion of the current distribution due to corrugation and then
derive the corresponding roughness in the magnetic field above the
wire. Scaling laws are derived for the roughness as a function of
height above a ribbon shaped wire. We also present experimental
data on micro wire traps using cold atoms which complement some
previously published measurements [CITE] and which
demonstrate that wire corrugation can satisfactorily explain our
observations of atom cloud fragmentation above electroplated gold
wires. Finally, we present measurements of the corrugation of new
wires fabricated by electron beam lithography and evaporation of
gold. These wires appear to be substantially smoother than
electroplated wires. 相似文献
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Simple Zeros of the Riemann Zeta-Function 总被引:1,自引:0,他引:1
Assuming the Riemann Hypothesis, Montgomery showed by meansof his pair correlation method that at least two-thirds of thezeros of Riemann's zeta-function are simple. Later he and Taylorimproved this to 67.25 percent and, more recently, Cheer andGoldston increased the percentage to 67.2753. Here we proveby a new method that if the Riemann and Generalized LindelöofHypotheses hold, then at least 70.3704 percent of the zerosare simple and at least 84.5679 percent are distinct. Our methoduses mean value estimates for various functions defined by Dirichletseries sampled at the zeros of the Riemann zeta-function. 1991Mathematics Subject Classification: 11M26. 相似文献
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This paper concerns a Markov operator T on a space L1, and aMarkov process P which defines a Markov operator on a spaceM of finite signed measures. For T, the paper presents necessaryand sufficient conditions for:
- a the existence of invariant probabilitydensities (IPDs)
- b the existence of strictly positive IPDs,and
- c the existence and uniqueness of IPDs.
- b the existence of strictly positive IPDs,and
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