Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms

By Alexey V. Gorshkov, M. Hermele, V. Gurarie, Cenke Xu, P. Julienne, Jun Ye, Peter Zoller, E. Demler, Mikhail D. Lukin, Ana Maria Rey. 2009

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Fermionic alkaline-earth atoms have unique properties that make them attractive candidates for the realization of atomic clocks and degenerate quantum gases. At the same time, they are attracting considerable theoretical attention in the context of quantum information processing. Here we demonstrate that when such atoms are loaded in optical lattices, they can be used as quantum simulators of unique many-body phenomena. In particular, we show that the decoupling of the nuclear spin from the electronic angular momentum can be used to implement many-body systems with an unprecedented degree of symmetry, characterizedbytheSU(N)groupwithNaslargeas10.Moreover,theinterplayofthenuclearspinwiththeelectronicdegreeof freedomprovidedbyastableopticallyexcitedstateshouldenablethestudyofphysicsgovernedbythespin‐orbitalinteraction. Such systems may provide valuable insights into the physics of strongly correlated transition-metal oxides, heavy-fermion materials and spin-liquid phases.

Subfields: Electronic, Optical and Magnetic Materials, Inorganic Chemistry, Spectroscopy

View Paper: https://www.semanticscholar.org/paper/dc5c51afb838d05049e92a4e5dba1923919c01ad

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Citations in the corpus

An SU(6) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling (2012, background): “We observe no detectable spin changing collision such as mF = (+5/2,−5/2) → (+3/2,−3/2) during several second of evaporation, which is the characteristic of SU(N ) symmetry [10].”
Direct Probing of the Mott Crossover in the SU(N) Fermi-Hubbard Model (2015, background): “The recent realization of degenerate gases of strontium and ytterbium in optical lattices allows to go beyond the conventional spin-1/2 FHM and to access the largely unexplored physics of the more general SU(N) symmetry [3, 6].”
Gauge fields for ultracold atoms in optical superlattices (2009, background): “It has also inspired novel proposals for quantum information processing [39]–[41] or quantum simulation [42, 43].”
Fermi gases in one dimension: From Bethe ansatz to experiments (2013, background): “…study exotic many-body physics in the context of higher spin symmetry, e.g., SU(κ) with κ = 2I+1, where I is the nuclear spin (Cazalilla et al., 2009; Gorshkov et al., 2010; Hermele et al., 2009).2 De Salvo et al. (2010) have created a degenerate gas of ultracold fermionic atoms 87Sr(F = I = 9/2)…”
Comparing and contrasting nuclei and cold atomic gases (2013, background): “Recently such systems have been seriously explored in alkaline-earth gases with the purpose of use for quantum computation (Daley et al. 2008, Gorshkov et al. 2009), and for testing SU(N)-models for large N (Gorshkov et al. 2010, Xu 2010).”
One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm (2011, methodology): “…Kraft et al., 2009; Stellmer et al., 2009; Taie et al., 2010; Takasu et al., 2003) which naturally posses a higher symmetry of interactions (Cazalilla et al., 2009; Gorshkov et al., 2010) calls for extensions of the present approach to SU(N) invariant Sutherland-type models (Sutherland, 1968).”
Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions (2014, background): “tems [1, 8] and quantum information processing schemes [9, 10].”
Alkaline-Earth Atoms in Optical Tweezers (2018, background): “of these protocols, Kondo-type models [34,69,71,77] could”