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Cold atoms in optical lattices is the application of two formerly distinct aspects of physics: quantum gases from atomic physics and laser theory from quantum optics. Its use to simulate quantum phenomena and models in condensed matter…

Quantum Physics · Physics 2013-06-06 Godfrey E. Akpojotor

A mixture of heavy atoms in a Mott state and light spin-1/2 fermionic atoms is studied in an optical lattice. Inelastic scattering processes between both atomic species excite the heavy atoms and renormalize the tunneling rate as well as…

Statistical Mechanics · Physics 2008-03-30 K. Ziegler

Ultra-cold fermionic atoms, having two valence electrons, exhibit a distinctive internal state structure, wherein the nuclear spin becomes decoupled from the electronic degrees of freedom in the ground electronic state. Consequently, the…

Ultracold atomic spin mixtures develop rich and intriguing magnetic properties when an external radiation coherently couples different spin states. In particular, the coupled mixture may acquire a critical behavior when the spin…

We review recent experimental and theoretical progress on ultracold alkaline-earth Fermi gases with emergent SU$(N)$ symmetry. Emphasis is placed on describing the ground-breaking experimental achievements of recent years. The latter…

Quantum Gases · Physics 2014-12-02 M. A. Cazalilla , A. M. Rey

We show that $n$ thermal fermionic alkaline-earth atoms in a flat-bottom trap allow one to robustly implement a spin model displaying two symmetries: the $S_n$ symmetry that permutes atoms occupying different vibrational levels of the trap…

We study ultracold collisions in fermionic ytterbium by precisely measuring the energy shifts they impart on the atom's internal clock states. Exploiting Fermi statistics, we uncover p-wave collisions, in both weakly and strongly…

Atomic Physics · Physics 2011-12-14 N. D. Lemke , J. von Stecher , J. A. Sherman , A. M. Rey , C. W. Oates , A. D. Ludlow

In this paper, we study the role of both "spin"(species) and mass imbalance in a mixture of two species of fermionic atoms with attractive interaction in an one-dimensional optical lattice. Using the bosonization approach, quantum phase…

Strongly Correlated Electrons · Physics 2009-02-09 Wen-Long Lu , Zhi-Guo Wang , Shi-Jian Gu , Hai-Qing Lin

We characterize inter- and intraisotope interorbital interactions between atoms in the 1S0 ground state and the 3P0 metastable state in interacting Fermi-Fermi mixtures of 171Yb and 173Yb. We perform high-precision clock spectroscopy to…

Symmetries play a crucial role in understanding phases of matter and the transitions between them. Theoretical investigations of quantum models with SU($N$) symmetry have provided important insights into many-body phenomena. However, these…

Quantum Gases · Physics 2024-12-20 Eduardo Ibarra-García-Padilla , Sayan Choudhury

The use of spin observables to study the semi-leptonic and non-leptonic weak interaction in atoms and nuclei is surveyed. In particular, the use of semi-leptonic neutral current scattering and atomic parity violation to search for physics…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. J. Musolf

Various topics at the interface between condensed matter physics and the physics of ultra-cold fermionic atoms in optical lattices are discussed. The lectures start with basic considerations on energy scales, and on the regimes in which a…

Strongly Correlated Electrons · Physics 2007-05-23 Antoine Georges

A mixture of light and heavy spin-polarized fermionic atoms in an optical lattice is considered. Tunneling of the heavy atoms is neglected such that they are only subject to thermal fluctuations. This results in a complex interplay between…

Disordered Systems and Neural Networks · Physics 2009-11-11 K. Ziegler

Fermionic 87Sr has a nuclear spin of I=9/2, higher than any other element with similar electronic structure. This large nuclear spin has many applications in quantum simulation and computation, for which preparation and detection of the…

Quantum Gases · Physics 2011-10-11 Simon Stellmer , Rudolf Grimm , Florian Schreck

A mixture of ultracold bosons and fermions placed in an optical lattice constitutes a novel kind of quantum gas, and leads to phenomena, which so far have been discussed neither in atomic physics, nor in condensed matter physics. We discuss…

Other Condensed Matter · Physics 2009-11-10 M. Lewenstein , L. Santos , M. A. Baranov , H. Fehrmann

We realize simultaneous quantum degeneracy in mixtures consisting of the alkali and alkalineearth-like atoms Li and Yb. This is accomplished within an optical trap by sympathetic cooling of the fermionic isotope 6Li with evaporatively…

Atomic Physics · Physics 2015-05-27 Hideaki Hara , Yosuke Takasu , Yoshifumi Yamaoka , John M. Doyle , Yoshiro Takahashi

We calculate the collective modes of ultracold trapped alkaline-earth fermionic atoms, which possess an SU($N$) symmetry of the nuclear spin degree of freedom, and a controllable $N$, with $N$ as large as $10$. We calculate the breathing…

We theoretically investigate equal-mass spin-balanced two-component Fermi gases in which pairs of atoms with opposite spins interact via a short-range isotropic model potential. We probe the distinction between two-dimensional and…

Quantum Gases · Physics 2025-06-27 Emma K. Laird , Brendan C. Mulkerin , Jia Wang , Matthew J. Davis

We study multilevel fermions in an optical lattice described by the Hubbard model with on site SU($n$)-symmetric interactions. We show that in an appropriate parameter regime this system can be mapped onto a spin model with all-to-all…

Ultracold molecules with both electron spin and an electric dipole moment offer new possibilities in quantum science. We use density-functional theory to calculate hyperfine coupling constants for a selection of molecules important in this…

Atomic Physics · Physics 2018-04-25 Jesus Aldegunde , Jeremy M. Hutson