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Physical Review Letters

Tunable Miscibility in a Dual-Species Bose-Einstein Condensate

Scott B. Papp, J. M. Pino, Carl Wieman

Published Jul 24, 2008• 493 citations
Publisher

Abstract

We report on the observation of controllable phase separation in a dual-species Bose-Einstein condensate with 85Rb and 87Rb. Interatomic interactions between the different components determine the miscibility of the two quantum fluids. In our experiments, we can clearly observe immiscible behavior via a dramatic spatial separation of the two species. Furthermore, a magnetic-field Feshbach resonance is used to change them between miscible and immiscible by tuning the 85Rb scattering length. The spatial density pattern of the immiscible quantum fluids exhibits complex alternating-domain structures that are uncharacteristic of its stationary ground state.

DOI
10.1103/physrevlett.101.040402

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We report on the observation of controllable phase separation in a dual-species Bose-Einstein condensate with 85Rb and 87Rb. Interatomic interactions between the different components determine the miscibility of the two quantum fluids. In our experiments, we can clearly observe immiscible behavior via a dramatic spatial separation of the two species. Furthermore, a magnetic-field Feshbach resonance is used to change them between miscible and immiscible by tuning the 85Rb scattering length. The spatial density pattern of the immiscible quantum fluids exhibits complex alternating-domain structures that are uncharacteristic of its stationary ground state.
We report on the observation of controllable spatial separation in a dual-species Bose-Einstein condensate (BEC) with 85^{85}85Rb and 87^{87}87Rb. Interparticle interactions between the different components can change the miscibility of the two quantum fluids. In our experiments, we clearly observe the immiscible nature of the two simultaneously Bose-condensed species via their spatial separation. Furthermore the 85^{85}85Rb Feshbach resonance near 155 G is used to change them between miscible and immiscible by tuning the 85^{85}85Rb scattering length. Our apparatus is also able to create 85^{85}85Rb condensates with up to 8×1048\times10^48×104 atoms which represents a significant improvement over previous work.
Abstract We have realized a dual-species Bose–Einstein condensate (BEC) of 23 Na and 87 Rb atoms and observed its immiscibility. Because of the favorable background intra- and inter-species scattering lengths, stable condensates can be obtained via efficient evaporative cooling and sympathetic cooling without the need for fine tuning of the interactions. Our system thus provides a clean platform for studying inter-species interactions–driven effects in superfluid mixtures. With a Feshbach resonance, we have successfully created double BECs with largely tunable inter-species interactions and studied the miscible–immiscible phase transition.
A 23^{23}23Na and 87^{87}87Rb double Bose-Einstein condensate with tunable interactions
We have realized a dual-species Bose-Einstein condensate of 23^{23}23Na and 87^{87}87Rb atoms and observed their immiscibility. Because of the favorite background intra- and inter-species scattering lengths, evaporative cooling and sympathetic cooling are efficient without the need for fine controlling of the interactions. Our system thus provides a clean platform for studying quantum fluid mixtures with tunable inter-species interactions. We have also demonstrated the interaction tuning with a inter-species Feshbach resonance by investigating the elastic collisions near zero crossing of the Na-Rb scattering length.
We have observed and characterized the nonequilibrium spatial dynamics of a two-component 87 Rb Bose–Einstein condensate (BEC) that is controllable switched back and forth between the miscible and immiscible phases of the phase separation transition by changing the internal states of the 87 Rb atoms. The subsequent evolution exhibits large scale oscillations of the spatial structure that involve component mixing and separation. We show that the larger total energy of the miscible system results in a higher oscillation frequency. This investigation introduces a new technique to control the miscibility and the spatial degrees of freedom in atomic BECs.
The effects of miscibility in interacting two-component classical fluids are relevant in a broad range of daily applications. When considering quantum systems, two-component Bose–Einstein condensates provide a well-controlled platform where the miscible–immiscible phase transition can be completely characterized. In homogeneous systems, this phase transition is governed only by the competition between intra- and inter-species interactions. However, in more conventional experiments dealing with trapped gases, the pressure of the confinement increases the role of the kinetic energy and makes the system more miscible. In the most general case, the miscibility phase diagram of unbalanced mixtures of different atomic species is strongly modified by the atom number ratio and the different gravitational sags. Here, we numerically investigate the ground-state of a 23Na–39K quantum mixture for different interaction strengths and atom number ratios considering realistic experimental parameters. Defining the spatial overlap between the resulting atomic clouds, we construct the phase diagram of the miscibility transition which could be directly measured in real experiments.
We present the production of dual-species Bose-Einstein condensates (BECs) of 39K^{39}\mathrm{K}39K and 87Rb^{87}\mathrm{Rb}87Rb. Preparation of both species in the $\left|F=1,{m}_{F}=\ensuremath{-}1\right\ensuremath{\rangle}$ state enabled us to exploit a total of three Feshbach resonances, which allows for simultaneous Feshbach tuning of the 39K^{39}\mathrm{K}39K intraspecies and the $^{39}\mathrm{K}\text{\ensuremath{-}}^{87}\mathrm{Rb}$ interspecies scattering length. Thus dual-species Bose-Einstein condensates were produced by sympathetic cooling of 39K^{39}\mathrm{K}39K with 87Rb^{87}\mathrm{Rb}87Rb. A dark spontaneous force optical trap was used for 87Rb^{87}\mathrm{Rb}87Rb to reduce the losses in 39K^{39}\mathrm{K}39K due to light-assisted collisions in the optical trapping phase, which can be of benefit for other dual-species experiments. The tunability of the scattering length was used to perform precision spectroscopy of the interspecies Feshbach resonance located at 117.56(2) G and to determine the width of the resonance to 1.21(5) G by rethermalization measurements. The transition region from miscible to immiscible dual-species condensates was investigated and the interspecies background scattering length was determined to 28.5a028.5{a}_{0}28.5a0​ using an empirical model. This paves the way for dual-species experiments with 39K^{39}\mathrm{K}39K and 87Rb^{87}\mathrm{Rb}87Rb BECs ranging from molecular physics to precision metrology.