Observation of antiferromagnetic correlations in an ultracold SU(N) Hubbard model

Taie, Shintaro; Ibarra-García-Padilla, Eduardo; Nishizawa, Naoki; Takasu, Yoshio; Kuno, Yoshihito; Wei, Haotian; Scalettar, Richard; Hazzard, Kaden R. A.; Takahashi, Yoshiro

doi:10.1038/s41567-022-01725-6

Cited by 47 publications

(11 citation statements)

References 44 publications

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“…In Appendix C we have highlighted the critical role of thermal fluctuations, leading to a reduction of the chiral currents. Recently, temperatures on the order of 0.1t/k B have been reported for a SU(N ) Hubbard system [44] and the Raman coupling technique has already been shown to cause minimal heating, also on the order of 0.1t/k B on a timescale of several tens of milliseconds in the strongly interacting regime [8], allowing for the observation of pure quantum many-body dynamics. These experimental achievements, combined with the sizable value of the chiral currents calculated under optimal conditions (at the Mott critical point), of the same order of those measured in Ref.…”

Section: Experimental Realizationmentioning

confidence: 99%

Enhancement of chiral edge currents in ($d$+1)-dimensional atomic Mott-band hybrid insulators

Ferraretto

Richaud

et al. 2023

SciPost Phys.

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We consider the effect of a local interatomic repulsion on synthetic heterostructures where a discrete synthetic dimension is created by Raman processes on top of SU(N)SU(N)-symmetric two-dimensional lattice systems. At a filling of one fermion per site, increasing the interaction strength, the system is driven towards a Mott state which is adiabatically connected to a band insulator. The chiral currents associated with the synthetic magnetic field increase all the way to the Mott transition, where they reach the maximum value, and they remain finite in the whole insulating state. The transition towards the Mott-band insulator is associated with the opening of a gap within the low-energy quasiparticle peak, while a mean-field picture is recovered deep in the insulating state.

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Section: Experimental Realizationmentioning

confidence: 99%

Enhancement of chiral edge currents in ($d$+1)-dimensional atomic Mott-band hybrid insulators

Ferraretto

Richaud

et al. 2023

SciPost Phys.

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“…The SU(N ) symmetry group plays an important role in many areas of physics [1], with SU(2) and SU(3) being particularly relevant for quantum electrodynamics and chromodynamics respectively [2]. More recently, the experimental realization of SU(N ) models in optical-lattice systems loaded with ultracold atoms, utilizing the nuclear spin degrees of freedom of alkali earth(-like) atoms [3][4][5][6][7], has led to renewed relevance of prior investigations into the many-body properties of SU(N ) Hubbard and spin models. For the SU(N ) Fermi-Hubbard model, the equilibrium phase diagram has seen a number of theoretical investigations [8][9][10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

“…In general, observing magnetism inside the Mott insulating states requires the cooling down to very low temperatures. Very recently, the Mott insulating states for N = 6 have been successfully cooled down to temperatures as low as T 0.1t/k B , where t is the hopping energy, thanks to the Pomeranchuk cooling mechanism [6]. Since such a temperature is low enough for magnetic correlations to start developing over a long distance [27], it is now important to measure long-range spin-spin correlations in experiments.…”

Section: Introductionmentioning

confidence: 99%

Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models

Mathias¹,

Danshita²

2023

Preprint

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It is well established that the noise correlations measured by time-of-flight imaging in cold-atom experiments, which correspond to the density-density correlations in the momentum space of trapped atomic gases, can probe the spin structure factor deep in the Mott-insulating regime of SU(2) Hubbard models. We explicitly derive the mathematical relation between the noise correlations and the spin structure factor in the strong-interaction limit of SU(N ) Hubbard models at any integer filling ρ. By calculating the ground states of one-dimensional SU(N ) Fermi-Hubbard models for 2 ≤ N ≤ 6 with use of the density matrix renormalization group method, we confirm the relation numerically in the regime of strong interactions U t, where U and t denote the onsite interaction and the hopping energy. We show that the deviation between the actual noise correlations and those obtained from the spin structure factor scales as approximately (t/U ) 2 for ρ = 1 at intermediate and large lattice sizes on the basis of numeric and semi-analytic arguments.

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“…20 and driven them into the Mott-insulating regime with one atom per site. With the considerable progress made in ultracold SU(N ) fermionic experiments, [21][22][23][24][25][26] the J 1 − J 2 SU(N ) Heisenberg spin chain could be achieved in the near future.…”

Section: Introductionmentioning

confidence: 99%

Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain

Herviou¹,

Capponi²,

Lecheminant³

2023

Preprint

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Observation of antiferromagnetic correlations in an ultracold SU(N) Hubbard model

Cited by 47 publications

References 44 publications

Enhancement of chiral edge currents in ($d$+1)-dimensional atomic Mott-band hybrid insulators

Enhancement of chiral edge currents in ($d$+1)-dimensional atomic Mott-band hybrid insulators

Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models

Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain

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