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Journal ArticleDOI

Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor

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TLDR
A Bose-Einstein condensate was produced in a vapor of rubidium-87 atoms that was confined by magnetic fields and evaporatively cooled and exhibited a nonthermal, anisotropic velocity distribution expected of the minimum-energy quantum state of the magnetic trap in contrast to the isotropic, thermal velocity distribution observed in the broad uncondensed fraction.
Abstract
A Bose-Einstein condensate was produced in a vapor of rubidium-87 atoms that was confined by magnetic fields and evaporatively cooled. The condensate fraction first appeared near a temperature of 170 nanokelvin and a number density of 2.5 x 10 12 per cubic centimeter and could be preserved for more than 15 seconds. Three primary signatures of Bose-Einstein condensation were seen. (i) On top of a broad thermal velocity distribution, a narrow peak appeared that was centered at zero velocity. (ii) The fraction of the atoms that were in this low-velocity peak increased abruptly as the sample temperature was lowered. (iii) The peak exhibited a nonthermal, anisotropic velocity distribution expected of the minimum-energy quantum state of the magnetic trap in contrast to the isotropic, thermal velocity distribution observed in the broad uncondensed fraction.

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Journal ArticleDOI

On the uniqueness of solutions to the periodic 3D Gross–Pitaevskii hierarchy

TL;DR: In this paper, the authors present a uniqueness result for solutions to the Gross-Pitaevskii hierarchy on the three-dimensional torus, under the assumption of an a priori spacetime bound.
Book ChapterDOI

Dynamics and Thermodynamics of Systems with Long Range Interactions: an Introduction

TL;DR: In this paper, the authors review theoretical results obtained recently in the framework of statistical mechanics to study systems with long range forces, with a special emphasis on Bose-Einstein condensates.
Journal ArticleDOI

Bose-Einstein condensation of metastable helium in a bi-planar quadrupole ioffe configuration trap

TL;DR: Using a novel magnetic trapping geometry, this paper constructed a Bose-Einstein condensate (BEC) with approximately one million atoms, the first realisation of a BEC in a bi-planar quadrupole Ioffe configuration magnetic trap.
Journal ArticleDOI

On the Rigorous Derivation of the 3D Cubic Nonlinear Schr\"odinger Equation with A Quadratic Trap

TL;DR: In this paper, the dynamics of the 3D N-body Schrodinger equation in the presence of a quadratic trap were considered. And the space-time bound conjectured by Klainerman and Machedon [30] was established.
Journal ArticleDOI

Creation of a Bose-condensed gas of 87Rb by laser cooling

TL;DR: In this paper, the authors demonstrate direct laser cooling of a gas of rubidium-87 (87Rb) atoms to quantum degeneracy in 300 milliseconds, as confirmed by a bimodal velocity distribution.
References
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Proceedings Article

Bose-Einstein condensation in a gas of sodium atoms

TL;DR: The striking signature of Bose condensation was the sudden appearance of a bimodal velocity distribution below the critical temperature of ~2µK.
Journal ArticleDOI

Trapping of neutral sodium atoms with radiation pressure

TL;DR: The confinement and cooling of an optically dense cloud of neutral sodium atoms by radiation pressure was reported, provided by three retroreflected laser beams propagating along orthogonal axes, with a weak magnetic field used to distinguish between the beams.
Journal ArticleDOI

Plancks Gesetz und Lichtquantenhypothese

Bose
TL;DR: In this article, the authors describe how the Phasenraum eines Lichtquants in bezug auf ein gegebenes Volumen wird in „Zellen“ von der Grose h3 aufgeteilt, i.e., the Zahl der moglichen Verteilungen der Lichtquanten einer makroskopisch definierten Strahlung unter diese Zellen liefert die Entropie.
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Observation of atoms laser cooled below the Doppler limit

TL;DR: This "Doppler cooling limit" results from the minimization of the detuning-dependent temperature at low laser power1.
Journal ArticleDOI

Output Coupler for Bose-Einstein Condensed Atoms

TL;DR: In this paper, an output coupler for Bose condensed atoms in a magnetic trap was demonstrated, where short pulses of rf radiation were used to create Bose condensates in a superposition of trapped and untrapped hyperfine states.
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