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The frequency of the breathing mode of a classical two dimensional Fermi gas in a harmonic confinement is fixed by the scale invariance of the Hamiltonian. Scale invariance is broken on the quantum mechanical level by introducing the two…

We present an experimental investigation of collective oscillations in harmonically trapped Fermi gases through the crossover from two to three dimensions. Specifically, we measure the frequency of the radial monopole or breathing mode as a…

Quantum Gases · Physics 2018-09-26 T. Peppler , P. Dyke , M. Zamorano , S. Hoinka , C. J. Vale

We investigate the influence of atomic motion on precision Rabi spectroscopy of ultracold fermionic atoms confined in a deep, one dimensional (1D) optical lattice. We analyze the spectral components of longitudinal sideband spectra and…

Atomic Physics · Physics 2009-11-27 S. Blatt , J. W. Thomsen , G. K. Campbell , A. D. Ludlow , M. D. Swallows , M. J. Martin , M. M. Boyd , Jun Ye

We measure radiofrequency (rf) spectra of the homogeneous unitary Fermi gas at temperatures ranging from the Boltzmann regime through quantum degeneracy and across the superfluid transition. For all temperatures, a single spectral peak is…

Low-dimensional ultracold gases are created in the laboratory by confining three-dimensional (3D) gases inside highly anisotropic trapping potentials. Such trap geometries not only provide access to simulating one-dimensional (1D) and…

Quantum Gases · Physics 2025-07-11 Jeff Maki , Colin J. Dale , Joseph H. Thywissen , Shizhong Zhang

In this letter, we investigate the properties of a strongly interacting spinless Fermi gas close to a $p$-wave resonance. We show that the universal properties at a $p$-wave resonance are captured by two contacts, which are related…

Quantum Gases · Physics 2016-07-01 Zhenhua Yu , Joseph H. Thywissen , Shizhong Zhang

Collisions with background gas can perturb the transition frequency of trapped ions in an optical atomic clock. We develop a non-perturbative framework based on a quantum channel description of the scattering process, and use it to derive a…

Atomic Physics · Physics 2017-09-01 Amar C. Vutha , Tom Kirchner , Pierre Dubé

We investigate experimentally and theoretically radio-frequency spectroscopy and pairing of a spin-orbit-coupled Fermi gas of $^{40}$K atoms near a Feshbach resonance at $B_{0}=202.2$ G. Experimentally, the integrated spectroscopy is…

Quantum Gases · Physics 2015-06-15 Zhengkun Fu , Lianghui Huang , Zengming Meng , Pengjun Wang , Xia-Ji Liu , Han Pu , Hui Hu , Jing Zhang

We report a measurement of the cold collision frequency shift in atomic hydrogen gas adsorbed on the surface of superfluid 4He at T<=90 mK. Using two-photon electron and nuclear magnetic resonance in 4.6 T field we separate the resonance…

Other Condensed Matter · Physics 2009-11-11 J. Ahokas , J. Jarvinen , S. Vasiliev

The $5S_{1/2}\rightarrow 5D_{5/2}$ two-photon transition in Rb is of interest for the development of a compact optical atomic clock. Here we present a rigorous calculation of the 778.1~nm ac-Stark shift ($2.30(4)…

Spatial correlations are observed in an ultracold gas of fermionic atoms close to a Feshbach resonance. The correlations are detected by inducing spin-changing rf transitions between pairs of atoms. We observe the process in the strongly…

Soft Condensed Matter · Physics 2009-11-10 M. Greiner , C. A. Regal , C. Ticknor , J. L. Bohn , D. S. Jin

An exotic superfluid phase has been predicted for an ultracold gas of fermionic atoms. This phase requires strong attractive interactions in the gas, or correspondingly atoms with a large, negative s-wave scattering length. Here we report…

Soft Condensed Matter · Physics 2009-11-10 C. A. Regal , D. S. Jin

Inspired by the renewed experimental activities on $p$-wave resonantly interacting atomic Fermi gases, we theoretically investigate some experimental observables of such systems at zero temperature in two dimensions, using both mean-field…

Quantum Gases · Physics 2019-08-21 Hui Hu , Xia-Ji Liu

In this Comment, we reanalyze the experiments on the collision frequency shift of the b-c and a-d hyperfine transitions in three-dimensional atomic hydrogen in the presence of, respectively, a and b-state atoms. Accurate consideration of…

Quantum Physics · Physics 2010-03-05 A. I. Safonov , I. I. Safonova , I. S. Yasnikov

We model the one-dimension (1D) to three-dimension (3D) crossover in a cylindrically trapped Fermi gas with attractive interactions and spin-imbalance. We calculate the mean-field phase diagram, and study the relative stability of exotic…

Quantum Gases · Physics 2016-12-22 Shovan Dutta , Erich J. Mueller

We have studied the transition from two to three dimensions in a low temperature weakly interacting $^6$Li Fermi gas. Below a critical atom number, $N_{2D}$, only the lowest transverse vibrational state of a highly anisotropic oblate…

Quantum Gases · Physics 2011-03-16 P. Dyke , E. D. Kuhnle , S. Whitlock , H. Hu , M. Mark , S. Hoinka , M. Lingham , P. Hannaford , C. J. Vale

Theories unifying gravity and other interactions suggest the possibility of spatial and temporal variation of physical ``constants''. Accuracy achieved for the atomic optical frequency standards (optical clocks) approaches the level when…

Atomic Physics · Physics 2009-02-05 V. A. Dzuba , V. V. Flambaum.

In this Letter, we show that the classical SO(2,1) symmetry of a harmonically trapped Fermi gas in two dimensions is broken by quantum effects. The anomalous correction to the symmetry algebra is given by a two-body operator that is well…

Quantum Gases · Physics 2012-05-08 Johannes Hofmann

We follow the evolution of fermion pairing in the dimensional crossover from 3D to 2D as a strongly interacting Fermi gas of $^6$Li atoms becomes confined to a stack of two-dimensional layers formed by a one-dimensional optical lattice.…

Frequency shifts from background gas collisions currently contribute significantly to the inaccuracy of atomic clocks. Because nearly all collisions with room-temperature background gases that transfer momentum eject the cold atoms from the…

Atomic Physics · Physics 2013-05-06 Kurt Gibble