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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Optical trapping and fundamental studies of atomic fermi gases

J. E. Thomas, J. Joseph, Bason E. Clancy, L. Lou, Joseph M. Kinast, Andrei V. Turlapov

Published Aug 31, 2006• 2 citations
Publisher

Abstract

Optical traps provide tight confinement and very long storage times for atomic gases. Using a single focused beam from a CO2 laser, we confine a mixture of spin-up and spin-down fermionic 6Li atoms, achieving storage times of ten minutes, and evaporative cooling to quantum degeneracy in seconds. A bias magnetic field tunes the gas to a collisional (Feshbach) resonance, producing extremely strong spin-pairing. This system now tests current many-body predictions for high-temperature superconductors, universal interactions in neutron stars, and hydrodynamic flow of quark-gluon plasmas, a state of matter that existed microseconds after the Big Bang.

DOI
10.1117/12.678574

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Optical traps provide tight confinement and very long storage times for atomic gases. Using a single focused beam from a CO2 laser, we confine a mixture of spin-up and spin-down fermionic 6Li atoms, achieving storage times of ten minutes, and evaporative cooling to quantum degeneracy in seconds. A bias magnetic field tunes the gas to a collisional (Feshbach) resonance, producing extremely strong spin-pairing. This system now tests current many-body predictions for high-temperature superconductors, universal interactions in neutron stars, and hydrodynamic flow of quark-gluon plasmas, a state of matter that existed microseconds after the Big Bang.
This program explores fundamental interactions in multi-component Fermi gases. Since single component Fermi gases do not interact at low temperatures as a consequence of the Pauli exclusion principle, it is necessary to trap and cool more than one fermionic species in order to study interactions. In current experiments, 40K and 6Li are considered particularly promising for observation of superfluidity in a Fermi gases, because these atoms exhibit magnetically tunable Feshbach resonances in their scattering interactions. The predicted superfluidity is an atomic gas analog of a superconducting transition. For systems with resonant interactions, transition temperatures of up to half the Fermi temperature are predicted. This would make these atomic systems the highest temperature superconductors ever studied, in units of the Fermi temperature. However, the most interesting mixtures of these Fermi gases must be confined in an all-optical trap, because the states of interest are repelled from magnetic traps.
We achieve degeneracy in a mixture of the two lowest hyperfine states of 6Li by direct evaporation in a CO2 laser trap, yielding the first all optically produced degenerate Fermi gas. More than 10(5) atoms are confined at temperatures below 4 microK at full trap depth, where the Fermi temperature for each state is 8 microK. This degenerate two-component mixture is ideal for exploring mechanisms of superconductivity ranging from Cooper pairing to Bose-Einstein condensation of strongly bound pairs.
An apparatus has been developed to create spin mixtures of ultracold fermionic 6Li in order to investigate the behavior of strongly interacting Fermi gases, and in particular, search for a superconducting phase transition. 6Li atoms are initially confined in a dual species magneto-optical trap (MOT) along with bosonic 7Li. Due to an overlap between spectral features of the two species, a D2/D1 trap/repump scheme is used for the 6Li. The atoms are subsequently cooled to quantum degeneracy in a magnetic trap through optimized dual forced evaporation and transferred to an all optical trap where spin mixtures are created with RF sweeps and pulses. The atomic interactions are controlled through the use of magnetic Feshbach resonances and an externally applied bias magnetic field of up to 1000 G. This thesis details the construction, operation, and performance of the 6Li portion of the apparatus, as well as current results.
The work described in this thesis can be divided into two parts. The first part is concerned with the production of degenerate Fermi gases and Bose-Fermi mixtures. The second part of the thesis describes studies of strongly interacting spin-mixtures of ultracold fermions. We have cooled a magnetically trapped spin-polarized 6Li Fermi gas into quantum degeneracy by sympathetic cooling with bosonic 23Na. In order to do this, we have converted our previously developed apparatus for Bose-Einstein condensation of 23Na into a two-species cooling facility. We have produced 6Li samples with up to 7 × 107 atoms at temperatures below 0.5TF , and up to 3× 107 atoms at temperatures as low as 0.05TF . Further, we have also produced stable quantum degenerate mixtures of 23Na and 6Li, with several million atoms of each species. In a second set of experiments, we have studied strongly interacting spin-mixtures of 6Li. The strength of interactions was resonantly controlled by applying a magnetic field and tuning to “Feshbach resonances”, which occur when the total energy of the colliding particles coincides with the energy of a bound molecular state. These studies are relevant for the continuing quest for a superfluid transition in a Fermi gas. By studying the inelastic decay of the cloud, we have experimentally identified two Feshbach resonances for the inter-state interactions of the two lowest ground states of 6Li. Most importantly, we found that the lifetime of the strongly interacting system is long enough to observe a superfluid transition in the future. The effects of the coherent collisions in 6Li spin-mixtures were studied using radiofrequency (RF) spectroscopy. We demonstrated the absence of mean field “clock shifts” in a two-state mixture of fermions, and have introduced a three-level method to observe the interaction energy shifts. In the strongly interacting regime, near a Feshbach resonance, we have observed universal behavior of the interaction energy, independent of the value of the scattering length. Finally, we have theoretically studied the effects of Pauli blocking during a free expansion of a degenerate Fermi gas. We have concluded that a strongly interacting normal gas will undergo a hydrodynamic expansion even at zero temperature, due to inefficiency of the Pauli suppression of collisions. Therefore, the already observed hydrodynamic expansion cannot be conclusively interpreted as a signature of superfluidity. Thesis Supervisor: Wolfgang Ketterle Title: John D. MacArthur Professor of Physics
Summary form only given. Cold, dense gases of fermions offer exciting new opportunities for fundamental studies of quantum degeneracy, collective behavior, and superfluidity. Fermionic /sup 6/Li has been the subject of numerous theoretical treatments. This is due in part to its anomalously large and negative triplet scattering length, a/sub T/=-2160 a/sub O/, which arises from a near zero energy resonance. The large scattering length leads to two-state mixtures which are predicted to undergo a transition to a superfluid state at a relatively high temperature. To increase our well depth, we retroreflect the CO/sub 2/ beam which forms our optical trap, nearly doubling the intensity of the trapping field and thus the well depth. We will discuss this technique and its effect on evaporative cooling, and report our progress towards producing a degenerate gas of /sup 6/Li.
An ultra-cold Fermi gas is a great way to simulate quantum many-body physics. The deeperunderstanding of strongly interacting fermionic systems gained from studying physics of such ultra-cold systems have found applications to high TC superconductors. The apparatus described here aims to study non-equilibrium dynamics and transport properties of unitary Fermi systems by optical cooling and trapping a cloud of 6Li atoms. My contribution to the design and construction of the Sommer group ultra-cold 6Li apparatus involves the design and construction of the Feshbach resonance electronics, AOM electronics for the laser system, setup of some of the AOM and ODT optics, and some coding. In this text I describe the design of our vacuum apparatus and laser system that traps and cools 6Li atoms to micro Kelvin temperatures, characterizes its performance, and describe how it can be utilized for spin transport experiments across normal-superfluid interface