Adiabatic spin-dependent momentum transfer in an SU(N) degenerate Fermi gas

Bataille, P.; Litvinov, A.; Manai, I.; Huckans, J.; Wiotte, F.; Kaladjian, A.; Gorceix, O.; Maréchal, E.; Laburthe-Tolra, B.; Robert-de-Saint-Vincent, M.

doi:10.48550/arxiv.2003.13444

Cited by 1 publication

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“…Concerning the experimental AMO platform, it turned out that the alkaline-earth(-like) fermionic atoms 87 Sr [10][11][12][13][14][15][16][17] and 173 Yb [18][19][20][21][22] are well suited for this line of research. On the road towards SU(N ) quantum magnetism of localized moments on a lattice, the realization of a Mott insulating state of 173 Yb atoms formed an important milestone [23,24], paralleling the earlier achievements of SU(2) Mott insulators [25,26].…”

Section: Introductionmentioning

confidence: 99%

Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets

Romen,

Läuchli

2020

Preprint

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Quantum magnets with a large SU(N ) symmetry are a promising playground for the discovery of new forms of exotic quantum matter. Motivated by recent experimental efforts to study SU(N ) quantum magnetism in samples of ultracold fermionic alkaline-earth-like atoms in optical lattices, we study here the temperature dependence of spin correlations in the SU(N ) Heisenberg spin model in a wide range of temperatures. We uncover a sizeable regime in temperature, starting at T = ∞ down to intermediate temperatures and for all N ≥ 2, in which the correlations have a common spatial structure on a broad range of lattices, with the sign of the correlations alternating from one Manhattan shell to the next, while the amplitude of the correlations is rapidly decreasing with distance. Focussing on the one-dimensional chain and the two-dimensional square and triangular lattice for certain N , we discuss the appearance of a disorder and a Lifshitz temperature, separating the commensurate Manhattan high-T regime from a low-T incommensurate regime. We observe that this temperature window is associated to an approximately N -independent entropy reduction from the ln(N ) entropy at infinite temperature. Our results are based on high-temperature series arguments and as well as large-scale numerical full diagonalization results of thermodynamic quantities for SU(3) and SU(4) square lattice samples, corresponding to a total Hilbert space of up to 4 × 10 9 states.

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