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Journal of Physics B Atomic Molecular and Optical Physics

Optimized evaporative cooling using a dimple potential: an efficient route to Bose–Einstein condensation

Zhaoyuan Ma, Christopher J. Foot, Simon L. Cornish

Published Jul 21, 2004• 29 citations
Publisher

Abstract

The realization of Bose–Einstein condensation of 133 Cs relies on an innovative evaporative cooling technique using a dimple potential. Correctly loading an atomic gas into such a potential produces a dense sample with a high phase space density, ideal for evaporative cooling. We have numerically simulated both the loading process and the subsequent evaporative cooling from a dimple potential in order to elucidate the optimization of this technique. Furthermore, we demonstrate that this technique would be effective in cooling 85 Rb to quantum degeneracy and describe a simple scheme for its implementation.

DOI
10.1088/0953-4075/37/15/013

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The realization of Bose–Einstein condensation of 133 Cs relies on an innovative evaporative cooling technique using a dimple potential. Correctly loading an atomic gas into such a potential produces a dense sample with a high phase space density, ideal for evaporative cooling. We have numerically simulated both the loading process and the subsequent evaporative cooling from a dimple potential in order to elucidate the optimization of this technique. Furthermore, we demonstrate that this technique would be effective in cooling 85 Rb to quantum degeneracy and describe a simple scheme for its implementation.
The Bose-Einstein condensation (BEC) of 133Cs atoms offers an appealing platform for studying the many-body physics of interacting Bose quantum gases, owing to the rich Feshbach resonances that can be readily achieved in the low magnetic field region. However, it is notoriously difficult to cool 133Cs atoms to their quantum degeneracy. Here we report a hybrid evaporative cooling of 133Cs atoms to BEC. Our approach relies on a combination of the magnetically tunable evaporation with the optical evaporation of atoms in a magnetically levitated optical dipole trap overlapping with a dimple trap. The magnetic field gradient is reduced for the magnetically tunable evaporation. The subsequent optical evaporation is performed by lowering the depth of the dimple trap. We study the dependence of the peak phase space density (PSD) and temperature on the number of atoms during the evaporation process, as well as how the PSD and atom number vary with the trap depth. The results are in excellent agreement with the equation model for evaporative cooling.
We report on the realization of a sodium Bose–Einstein condensate (BEC) in a combined red-detuned optical dipole trap, formed by two beams crossing in a horizontal plane and a third, tightly focused dimple trap propagating vertically. We produce a BEC in three main steps: loading of the crossed dipole trap from laser-cooled atoms, an intermediate evaporative cooling stage which results in efficient loading of the auxiliary dimple trap, and a final evaporative cooling stage in the dimple trap. Our protocol is implemented in a compact setup and allows us to reach quantum degeneracy even with relatively modest initial atom numbers and available laser power. 1.
We reported a simple scheme of producing Bose–Einstein condensate (BEC) in a dimple trap. Starting from a regular magneto-optical trap (MOT), we apply a temporal dark MOT to increase the atom density and directly load atoms into a crossed dipole trap. In order to make the trap frequency relatively high at the end of evaporation, a tight dimple is added. Such a scheme ensures relatively high trap volume for loading atoms and high trap frequency for evaporative cooling. The BEC phase transition is observed after 12 s evaporation. Furthermore, we demonstrated the manipulation of the hyperfine states with a Raman coupling, which is very useful for studying many-body physics via Ramsey or spin-echo spectroscopy.
Recent experiments have used forced evaporative cooling to produce Bose-Einstein condensation in dilute gases. The evaporative cooling process can be optimized to provide the maximum phase-space density with a specified number of atoms remaining. We show that this global optimization is approximately achieved by locally optimizing the cooling efficiency at each instant. We discuss how this method can be implemented, and present the results for our 7Li^{7}\mathrm{Li}7Li trap. The predicted behavior of the gas is found to agree well with experiment.
We report on the realization of a sodium Bose–Einstein condensate (BEC) in a combined red-detuned optical dipole trap formed by two beams crossing in a horizontal plane and a third, tightly focused dimple trap (dT) propagating vertically. We produce a BEC in three main steps: loading of the crossed dipole trap from laser-cooled atoms, an intermediate evaporative cooling stage that results in efficient loading of the auxiliary dT, and a final evaporative cooling stage in the dT. Our protocol is implemented in a compact setup and allows us to reach quantum degeneracy even with relatively modest initial atom numbers and available laser power.
We describe several routes to quantum degenerate gases based on simple schemes to efficiently load atoms into and evaporate them from a ``dimple'' crossed dipolar trap. The dimple is loaded nonadiabatically by collisions between atoms which are trapped in a reservoir which can be provided either by a dark spontaneous-force magneto-optical trap (MOT), the (aberrated) laser beam itself, or by a quadrupolar or quadratic magnetic trap. Optimal loading parameters for the dimple, relatively high temperature, and tight optical trap are derived from thermodynamic equations including possible inelastic and Majorana losses. Evaporative cooling is described by a set of simple equations, taking into account gravity, the possible occurrence of the hydrodynamical regime, Feshbach resonances, and three body recombination. The solution implies that to have efficient evaporation the elastic collisional rate (in ${\mathrm{s}}^{\ensuremath{-}1}$) must be on the order of the trap frequency and lower than 100 times the temperature in microkelvins. Following this approach Bose-Einstein condensates with more than 107{10}^{7}107 atoms should be obtained in much less than 1s1\phantom{\rule{0.3em}{0ex}}\mathrm{s}1s starting from an ordinary MOT setup.