2005
DOI: 10.1103/physreva.72.041605
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Sympathetic cooling route to Bose-Einstein condensate and Fermi-liquid mixtures

Abstract: We discuss a sympathetic cooling strategy that can successfully mitigate fermion-hole heating in a dilute atomic Fermi-Bose mixture and access the temperature regime in which the fermions behave as a Fermi-liquid. We introduce an energy-based formalism to describe the temperature dynamics with which we study a specific and promising mixture composed of 6 Li and 87 Rb. Analyzing the harmonically trapped mixture, we find that the favourable features of this mixture are further enhanced by using different trappin… Show more

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Cited by 9 publications
(9 citation statements)
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“…This is particularly important for cooling pure Fermi gases, which cannot be cooled actively. While the 6 Li-87 Rb combination appears to be particularly well suited for reaching low temperatures [13,14], the smallness of the interspecies s-wave scattering length slows down the sympathetic cooling rate [10]. This could be a problem if heating processes such as Fermi hole heating become important [14,15].…”
mentioning
confidence: 99%
“…This is particularly important for cooling pure Fermi gases, which cannot be cooled actively. While the 6 Li-87 Rb combination appears to be particularly well suited for reaching low temperatures [13,14], the smallness of the interspecies s-wave scattering length slows down the sympathetic cooling rate [10]. This could be a problem if heating processes such as Fermi hole heating become important [14,15].…”
mentioning
confidence: 99%
“…We inves-tigated the mass dependence of our results, which were compared to the data published by Weiss et al [10]. It has been suggested by Côté et al [11] that our calculations were tentative because the potentials need to be specified more precisely. The new potentials for NaRb of Pashov et al [12] represent an improvement over those that were available at the time of our calculations [9] but, contrary to their suggestion [12], the confusion of units in the work of Weiss et al [10] does not compromise the reliability of our earlier calculations since we did not use but merely quoted their results, which were corrected later [13].…”
Section: Introductionmentioning
confidence: 91%
“…Note that in the limit k → 0, Levinson's theorem is recovered from Eqs. (10) and (11). Now, inserting Eqs.…”
Section: Spin Change Cross Sectionmentioning
confidence: 99%
“…An example where this plays a role is a mixture of the high-field seeking states 6 Li | and 87 Rb |2, 2 [18]. For this case, sympathetic cooling of Li via Rb to very low temperatures (such as those needed for reaching the critical temperature for BCSpairing) requires a sensitive matching of the respective gas densities: This guarantees that the Li Fermi temperature is lower than the critical temperature for Bose-Einstein condensation of Rb [19] and reduces fermion-hole heating as far as possible [20]. This respective density-matching is now possible by controlling the potentials' shape via microwave or radio frequencies.…”
Section: Potential Shapingmentioning
confidence: 99%