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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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Dynamics and Stability of Bose-Einstein Condensates: The Nonlinear Schrödinger Equation with Periodic Potential

TL;DR: In this paper, the cubic nonlinear Schrodinger equation with a lattice potential is used to model a periodic dilute-gas Bose-Einstein condensate, for atomic species with either repulsive or attractive interactions.
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Density of states for Bose-Einstein condensation in harmonic oscillator potentials

TL;DR: In this article, the density of states for a system of particles in an anisotropic harmonic oscillator potential has been approximated using analytic calculations, and a direct application of the result to study Bose-Einstein condensation of atomic gases in a potential trap can be given.
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Existence of solitary waves in dipolar quantum gases

TL;DR: In this paper, the existence of standing waves in Bose-Einstein condensates was proved under the assumption of sufficiently strong dipolar interactions, and hence solitons, together with some of their properties.
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A Mass and Magnetization Conservative and Energy-Diminishing Numerical Method for Computing Ground State of Spin-1 Bose-Einstein Condensates

TL;DR: A mass (or normalization) and magnetization conservative and energy-diminishing numerical method is presented for computing the ground state of spin-1 (or $F=1$ spinor) Bose-Einstein condensates (BECs) to demonstrate the efficiency of the numerical method.
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Quantum state of a trapped Bose-Einstein condensate

TL;DR: In this article, the quantum state of a single symmetry-broken condensate at zero temperature is calculated using perturbative techniques, and the state is found to closely approximate a number squeezed state.
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.
Journal ArticleDOI

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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