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European Quantum Electronics Conference (EQEC)

Observation of Feshbach resonances in 87 Rb

Thomas Volz, Andreas Marte, J. Schuster, Sebastian Ernst, Stephan Dürr, Gerhard Rempe, Eric van Kempen, B. Verhaar

Published Jan 1, 2003• 0 citations
Publisher

Abstract

A cloud of /sup 87/Rb atoms in the |f, m/sub f/>= |1, -1> ground state was evaporatively cooled in a Ioffe-Pritchard trap close to or below the BEC transition temperature. The atoms were then transferred into an optical dipole trap made of an Yb:YAG laser operating at a wavelength of 1030 nm. After turning off the magnetic trap, an RF pulse transferred the atoms to the |1,1> Zeeman state. Subsequently, a homogeneous dc magnetic field was applied. The field range was scanned between 0.5 and 1260 Gauss. Monitoring the atom loss, more than 40 resonances, are observed including the predicted ones. The additional resonances are due to closed channels with rotational quantum number l = 2. The measured resonance positions were included in a fit to obtain an improved set of parameters for the rubidium interatomic potential. Although all resonances are narrow, the magnetic field control should be accurate enough to resolve changes in the elastic scattering length on the broadest resonance at 1007 Gauss.

DOI
10.1109/eqec.2003.1314136

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/sup 85/rubidium-a Bose-Einstein condensate with adjustable interactions

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A magnetic field dependent Feshbach resonance has been observed in the elastic scattering collision rate between atoms in the F = 2, M = -2 state of 85 Rb. Changing the magnetic field by several Gauss caused the collision rate to vary by a factor of 10,000, and the sign of the scattering length could be reserved. The resonance peak is at 155.2(4) G and its width is 11.6(5) G. From these results we extract much improved values for the three quantities that characterize the interaction porential: the van der Waals coefficient C6, the singlet scattering length, and the triplet scattering length.

arXiv:physics/9808018•Aug 14, 1998•15 citations
A cloud of /sup 87/Rb atoms in the |f, m/sub f/>= |1, -1> ground state was evaporatively cooled in a Ioffe-Pritchard trap close to or below the BEC transition temperature. The atoms were then transferred into an optical dipole trap made of an Yb:YAG laser operating at a wavelength of 1030 nm. After turning off the magnetic trap, an RF pulse transferred the atoms to the |1,1> Zeeman state. Subsequently, a homogeneous dc magnetic field was applied. The field range was scanned between 0.5 and 1260 Gauss. Monitoring the atom loss, more than 40 resonances, are observed including the predicted ones. The additional resonances are due to closed channels with rotational quantum number l = 2. The measured resonance positions were included in a fit to obtain an improved set of parameters for the rubidium interatomic potential. Although all resonances are narrow, the magnetic field control should be accurate enough to resolve changes in the elastic scattering length on the broadest resonance at 1007 Gauss.
More than 40 Feshbach resonances in rubidium 87 are observed in the magnetic-field range between 0.5 and 1260 G for various spin mixtures in the lower hyperfine ground state. The Feshbach resonances are observed by monitoring the atom loss, and their positions are determined with an accuracy of 30 mG. In a detailed analysis, the resonances are identified and an improved set of model parameters for the rubidium interatomic potential is deduced. The elastic width of the broadest resonance at 1007 G is predicted to be significantly larger than the magnetic-field resolution of the apparatus. This demonstrates the potential for applications based on tuning the scattering length.
We report the production of 87RbCs^{87}\mathrm{RbCs}87RbCs Feshbach molecules in a crossed-beam dipole trap. A mixture of 87Rb^{87}\mathrm{Rb}87Rb and 133Cs^{133}\mathrm{Cs}133Cs is cooled close to quantum degeneracy before an interspecies Feshbach resonance at 197 G is used to associate up to $\ensuremath{\sim}5000$ molecules with a temperature of $\ensuremath{\sim}300$ nK. The molecules are confined in the dipole trap with a lifetime of 0.21(1) s, long enough for future experiments exploring optical transfer to the absolute ground state. We have measured the magnetic moment of the Feshbach molecules in a magnetic bias field range between 181 and 185 G to demonstrate the ability to control the character of the molecular state. In addition, we have performed Feshbach spectroscopy in a field range from 0 to 1200 G and located three previously unobserved resonances at high magnetic fields.
Summary form only given. For most values of magnetic field, very cold /sup 85/Rb atoms have a large negative scattering length and large loss rates from magnetic traps. The latter makes it difficult to cool the atoms low enough to achieve Bose-Einstein condensation (BBC), while the former constrains the size of a possible BEC to <100 atoms. However, we have found that near the Feshbach resonance at 154 G the loss rates decrease substantially, and the scattering length can be made positive. We have used these two features to create condensates of several thousand atoms in /sup 85/Rb. We are then able to study the dynamics and loss processes of these condensates as we vary the magnetic field. Small changes in magnetic field give rise to large changes in the magnitude and sign of the self-interaction in the condensate as well as possible couplings to molecular condensates. We will discuss the wide range of behaviors we have observed in this interesting system.
Within the scope of this thesis, the production of ultracold molecules at a temperature of a few µK with various isotopes of rubidium (Rb) and ytterbium (Yb) was examined by means of photoassociation spectroscopy and magnetic Feshbach resonances in combined conservative traps. The long-term goal of this experiment is the production of ultracold RbYb molecules in the rovibronic ground state. It was possible to produce electronically excited ^{87}Rb ^{176}Yb molecules in a novel hybrid trap (HT) at a combined temperature of 1.7 µK by means of 1-photon photoassociation close to the Rb D1 line at 795 nm. This HT takes advantage of the different magnetic properties of Rb and Yb and allows for independent trapping and manipulation of the atomic species. It combines an Ioffe-Pritchard type magnetic trap for Rb and a near-resonant optical dipole trap for Yb. The excited molecular ^2 Pi_1/2 state could be characterized further extending previous works in a combined MOT and vibrational levels reaching binding energies up to E_b=-h x 2.2 THz could be assigned by trap-loss spectroscopy. Almost every detected vibrational state consists of two resonances that could be assigned to the molecular analogue of the hyperfine structure of ^{87}Rb. An important experimental observation is a decrease in hyperfine splitting with increasing binding energy of a vibrational level. For the deepest found vibrational state the hyperfine splitting amounts only 70 % of the atomic value (817 MHz) which emphasizes a gradual passage from weakly to tightly bound molecules. Furthermore, detailed attempts were undertaken to induce magnetic Feshbach resonances in ^{85}Rb and different Yb isotopes, especially ^{171}Yb in a crossed optical dipole trap at 1064 nm at temperatures of 10 µK. For this purpose, a homogeneous magnetic field was applied and scanned in small steps over the range of 495 G... 640 G. Unfortunately, our efforts were without success. Additionally, well known as well as not yet reported Rb_2 Feshbach resonances in ^{85}Rb and ^{87}Rb were detected. These resonances allowed for a detailed analysis of the typical behaviour of Feshbach resonances. The first experimental realization of photoassociation spectroscopy in a conservative is also a major step towards the ultimate project goal of producing ultracold RbYb molecules in the electronic ground state. A spatial confinement, which is in principle possible in the HT, is a prerequisite for transferring the molecules to the rovibronic ground state, e.g. with the help of a STIRAP process.
This thesis reports the observation of interspecies Feshbach resonances in an ultracold mixture of Rb and Cs atoms. A versatile combined magnetic and optical potential has been designed and constructed which is capable of bringing both 87Rb^{87}\rm{Rb}87Rb and 133Cs^{133}\rm{Cs}133Cs to degeneracy, and reaching high phase-space density in 85Rb^{85}\rm{Rb}85Rb. High phase-space density mixtures are the first step required in the production of ultracold polar molecules, the topic of much current research. The apparatus capitalises on the efficient capture of atoms by a magnetic trap from a magneto-optical trap, and the efficient sympathetic cooling of Cs by Rb therein. Upon transfer to the crossed optical dipole trap condensates in excess of 1×1061\times10^{6}1×106 87Rb^{87}\rm{Rb}87Rb atoms and approximately 1×1051\times10^{5}1×105 133Cs^{133}\rm{Cs}133Cs atoms are produced after direct evaporation and gravito-magnetic tilting of the potential. The observation of six interspecies 87Rb^{87}\rm{Rb}87Rb-133Cs^{133}\rm{Cs}133Cs Feshbach resonances are reported, three of which had only been predicted theoretically, allowing testing and development of the theoretical model. Furthermore, the extrapolation of this model has predicted numerous Feshbach resonances between 85Rb^{85}\rm{Rb}85Rb and 133Cs^{133}\rm{Cs}133Cs, none of which have been experimentally observed prior to this work. The versatile nature of this apparatus is discussed, including the application of the current system to cooling of 85Rb^{85}\rm{Rb}85Rb. Initial experiments observed seven interspecies resonances, including a broad s-wave resonance at a magnetic field of (644±2)(644\pm2)(644±2) G which is in excellent agreement with the theoretical prediction. Further work has revealed that fourteen Feshbach resonances exist in the 0-700 G magnetic field range between 85Rb^{85}\rm{Rb}85Rb and 133Cs^{133}\rm{Cs}133Cs atoms in the ∣2,+2⟩\left|2,+2\right\rangle∣2,+2⟩ and ∣3,+3⟩\left|3,+3\right\rangle∣3,+3⟩ states, respectively. Several of these resonances would be ideal for magneto-association of RbCs molecules, prior to transfer to the rovibrational ground-state.
A magnetic field dependent Feshbach resonance has been observed in the elastic scattering collision rate between atoms in the F = 2, M = -2 state of 85 Rb. Changing the magnetic field by several Gauss caused the collision rate to vary by a factor of 10,000, and the sign of the scattering length could be reserved. The resonance peak is at 155.2(4) G and its width is 11.6(5) G. From these results we extract much improved values for the three quantities that characterize the interaction porential: the van der Waals coefficient C6, the singlet scattering length, and the triplet scattering length.