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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

Collapsing estimates and the rigorous derivation of the 2d cubic nonlinear Schrödinger equation with anisotropic switchable quadratic traps

TL;DR: In this paper, the 2D and 3d many body Schrodinger equations in the presence of anisotropic switchable quadratic traps have been derived for the first time.
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A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on T3 from the dynamics of many-body quantum systems

TL;DR: In this article, Chen, Hainzl, Pavlovic and Seiringer obtained a rigorous derivation of the defocusing cubic nonlinear Schrodinger equation on the three-dimensional torus T 3 from the many-body limit of interacting bosonic systems.
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Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation

TL;DR: In this article, the authors presented a technique to describe the condensate in dynamical equilibrium with the thermal cloud, at temperatures close to the critical one, and showed that the whole isolated system may be viewed as a single classical field undergoing nonlinear dynamics leading to a steady state.
Posted Content

An explicit unconditionally stable numerical method for solving damped nonlinear Schr\"{o}dinger equations with a focusing nonlinearity

TL;DR: In this paper, an extension of the time-splitting sine-spectral (TSSP) method for solving damped focusing nonlinear Schrodinger equations (NLS) is presented.
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.
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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.
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Plancks Gesetz und Lichtquantenhypothese

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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.
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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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