We need a transfer efﬁciency from the collector to the science MOT of about 50% for
21Na. The distance between the two MOTs is 69 cm. Additionally a reliable operation is required and compatibility with the constraints imposed by theβ-decay science chamber with respect to the detection equipment. Also the hardware requirements (laser power, frequency requirements) have to be taken into account.
To achieve a Bose-Einstein Condensate (BEC), a high number of cold atoms in an ultra-high vacuum (UHV) environment is required as a starting point. One strategy for creating a BEC is to load atoms from a vapor into a Magneto-Optical Trap (MOT) which can be done fast. Next the trapped atoms are transferred to a second MOT setup with better vacuum[235, 236]. Consequently, there exist many experiments in which atoms are transferred between two atom traps. We identiﬁed ﬁve types of transfer: by gravity (A), by magnetic transport (B), with a dipole push-guide (C), with an optical dipole trap (D) and with a resonant push beam (E). We discuss for each type the principle, its (dis)advantages and its applicability to our setup.
The simplest method is to let the atom cloud fall from a ﬁrst MOT in a second MOT below. Under the gravitational acceleration of about 9.8 m/s2the atoms fall and are recaptured in the second MOT system. To improve the transfer efﬁciency, the temper-ature of the cloud is reduced just before the transfer (optical molasses) to achieve very low temperatures. A high transfer efﬁciency is therefore still a challenge. However, for reasons of space requirements, our double MOT system is in the horizontal plane and the gravity method is thus not an option.
Magnetic transfer (B)
In this method a conservative potential created by magnetic ﬁelds is used to con-ﬁne the atoms during the transfer. Either the transfer is done only using magnetic potentials (the atoms are moved with the potential), or a magnetic guide is used and the atoms are accelerated and recaptured with another mechanism. The moving magnetic potential can be implemented in two ways: by varying the magnetic ﬁelds or by moving magnets mechanically. The ﬁrst kind is a magnetic conveyor belt.
It is a chain of quadrupole coils where the potential minimum is moved by applying time-varying currents to the coils. In essence it is a moving magnetic trap which is loaded in the MOT region. The initial temperature of the MOT cloud has to be reduced with additional cooling schemes to be efﬁcient with this approach. For aβ-decay correlation measurement, the conveyor belt is taking too much solid angle of the particle detectors. Similarly, when the magnetic trap is moved mechanically; solid angle is lost to the moving mechanisms.
For the optical method two strategies can be followed. Either the push beam is far-off or near resonance. The off resonance beam creates a conservative dipole potential. To trap the atoms a strong (of order 20 W) laser beam with a red detuning of several hundred nm is focused to a spot of order 30μm9. By moving the focus the atoms can be transported using this Optical Dipole Trap (ODT) force.
The ODT force can also be used to create a conﬁning guide. In this case the detuning is chosen to be relatively small, typically a GHz. The spontaneous scattering rate is then still sufﬁcient to accelerate the atoms to a few m/s. The near-resonance push beam accelerates the atoms much quicker but does not provide a conﬁning potential.
In the case of the near-resonance transfer method the atoms can be cooled in two dimensions by an atom funnel, which is a two dimensional version of a conventional MOT[240–242]. This reduces the transverse velocity spread of the atomic beam and in this way the transfer efﬁciency can considerable enhanced.
9An exception to these typical conditions is an experiment done by the Wieman group[56, 238], where a combination of a red detuning of 4 nm and 0.5 W laser power was used.
2.9 Double MOT transfer 47
Table 2.9: An overview of experiments using ﬁve techniques to transfer atoms between two atom traps: gravity (A), magnetic transfer (B), dipolar push-guide (C), optical dipole trap (D) and a resonant push beam (E). PM stands for permanent magnet, MG for magnetic guide.δv is the standard deviation of the velocity distribution. The diameter of the push laser beam is indicated in mm. Vertically separated MOT systems are indicated with†.
Type Parameters Atom Dist. ¯v± δv Eff. Ref.
(cm) (m/s) (%)
A Molasses 5μK 133Cs 70† 1.9 20 
B Time-varying 87Rb 33 0.8 30 
Static, mechanically 87Rb 45 0.5 50 
Magnetic lauch 23Na 40 7 2
6 PM 82Rb 45 20 20± 102 
1 Estimated value, the reported transfer efﬁciency of 85% is incorrect, see page 164.
2 In earlier measurements with the setup with85Rb a transfer efﬁciency of 75± 15 was obtained .
3 Additionally a hexapole ﬁeld, generated by 6 wires carrying a current of up to 300 A, is used.
Dipolar push-guide (C)
For the transfer with off-resonance light two possibilities exist, both provide a con-servative guiding potential. The ﬁrst is to create an attractive potential, created by a red detuned laser beam. The second option is to create a repulsive potential with a hollow, blue detuned laser beam. However, there is a caveat in the transfer efﬁciency reported for this technique, which we discuss in appendix C. In short, the total trans-fer efﬁciency obtained with the dipolar push-guide type is lower than the transtrans-fer efﬁciency, because the time between the atom being captured and being transferred can be long compared to the lifetime of the MOT. Therefore, the atom can be lost before it is transferred, for radioactive isotopes this loss has to be taken into account.
A difference between the achieved results for Rb and Cs on one hand and Na on the other is that the optimal detuning of -1 GHz for Cs and Rb is to be compared with the hyperﬁne splitting of the ground-state of of 6.8 and 9.2 GHz for Rb and Cs, respectively, while for Na this is 1.7 GHz. Whether this transfer method is suited for the transfer of Na isotopes mainly depends on the required laser power and detuning.
Probably only with an extra laser system it is a workable solution, which is less of a problem when diode lasers are available like for Rb and Cs. However, for Na this is an issue. Furthermore, with the other transfer methods transfer efﬁciencies close to 100% have been demonstrated, with this method maximally only an estimated 25%.
Optical Dipole Trap (D)
With an optical dipole trap (ODT), one can transport atoms by moving the focus of the laser beam. However, the dipole trap is a conservative potential and for typical parameters shallow (about 1 mK). Therefore this method requires very low temperat-ure (and small) atomic clouds to be loaded efﬁciently and during the transfer heating mechanisms have to minimized. Using an ODT at a wavelength of 1030 nm and 2.5 W power, Feldbaum et al. transferred 14% of the trapped radioactive82Rb MOT atoms into the ODT.
On resonance push (E)
For the on-resonance push beam method, the push beam accelerates the atoms but does not provide a conﬁning potential. Also for the near-resonance push methods two approaches can be used. Either the push has a relatively low intensity and pushes continuously, or the transport uses a short, high intensity laser pulse to accelerate the atoms.
We implemented the resonant transfer scheme to transfer the atoms in our experi-ment. The model to ﬁnd the optimal settings for a resonant push beam and optionally a funnel can be found in chapter 5 where also the experimental results are presented.
One of the main conclusions there is that to limit the transverse extent of the pushed atomic cloud, it is advantageous to push the atoms with the highest velocity which can still be recaptured by the receiving MOT (see section 5.3).
2.9 Double MOT transfer 49
A resonant push beam can also be combined with a magnetic guide. The ﬁrst implementation by Myatt et al. achieved a transfer efﬁciency of about 90%.
Myatt et al. simpliﬁed their transfer method which is described in: instead of using a combination of a hexapole ﬁeld generated by currents and permanent magnets, they achieved a similar transfer efﬁciency (about 80%) using a 30 cm long permanent magnetic guide to transfer the atoms over a distance of about 50 cm. As they used six magnets, arranged with alternating poles, instead of the previously used conﬁguration with three magnets (with the same pole towards the transfer line), the fringe ﬁeld decreased more rapidly: as 1/R5rather than 1/R3. This allowed to bring the magnetic guide made up of six magnets closer to the MOTs. During the transfer absolutely no laser light should be present in the guide: a few photons will depolarize the atomic sample, leading to loss.
In table 2.9 we list an overview of experiments which use double atom trap transfer methods of one of the ﬁve preceding types. The table is not complete, but gives an indication what has been typically achieved for each transfer strategy. Note that in several of the experiments, to enhance the transfer efﬁciency, the temperature of the MOT cloud is reduced before the transfer. Due to the different techniques used, it is nearly impossible to normalize the obtained transfer efﬁciencies to a particular distance. A direct comparison is therefore hampered.
For the near-resonant push technique, in leading order the transfer efﬁciency is inversely proportional to the square of the transfer distance and proportional to both the push velocity and the mass of the atom (see in chapter 5 equation 5.9 and table 5.3). With this method a high push velocity and a high mass are thus favorable in achieving a high transfer efﬁciency.
We conclude that the highest transfer efﬁciency using a push beam is obtained with41K. In that experiment also the highest push velocity of 40 m/s was used. Two funnels doubled the transfer efﬁciency over a distance of 75 cm.
Looking forward to the results obtained in chapter 5 we can say that for a capture velocity of the receiving MOT system of 25 m/s about 15% can be transferred with a push beam only and with the aid of an optical funnel a transfer efﬁciency of 60% is feasible.
The dipole trap method is attractive as spin polarization can be easily achieved in such a trap. Transfer and polarization can then be combined. However, achieving a 50% loading efﬁciency is harder for Na than for heavier elements due to its hyperﬁne structure, also achieving a fast and efﬁcient transfer is technically more challenging.
During the last stage of writing this thesis, we became aware of the double-MOT transfer experiments performed at Berkeley for their21Na experiment.The results, showing a transfer efﬁciency of 80%, are only published in the thesis of M. Rowe.
The double MOT setup was used to suppress background from untrapped atoms. As the capture efﬁciency of the Zeeman slowed atom beam into the MOT was increased from 1% to 25%, the second MOT was not needed anymore.
The advantage of the magnetic guide compared to the push beam with funnel method is that the hardware is less complex and this method is very frugal with laser light. The required capture velocity of the receiving MOT is relaxed as the atoms can be transferred at a low speed of about 10-15 m/s. The magnetic guide will also require less maintenance. A disadvantage is that the magnetic guide requires good shielding from laser light, which pumps the atoms to an anti-trapped state, leading to a decrease in transfer efﬁciency.