2020
DOI: 10.48550/arxiv.2010.07730
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Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model

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Cited by 19 publications
(33 citation statements)
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“…As a result, AMO experiments can directly probe the role of SU(n) interactions * mika.perlin@gmail.com in controllable settings. Recent progress includes studies of the thermodynamic properties of SU(n) fermionic gases [20][21][22][23][24][25][26][27], SU(n) Hubbard phases and phase transitions [28][29][30], single- [31] and two-orbital [32][33][34][35] SU(n) magnetism, and multi-body SU(n)-symmetric interactions [36,37].…”
Section: Su(n) Symmetries Play An Important Role In Physicsmentioning
confidence: 99%
“…As a result, AMO experiments can directly probe the role of SU(n) interactions * mika.perlin@gmail.com in controllable settings. Recent progress includes studies of the thermodynamic properties of SU(n) fermionic gases [20][21][22][23][24][25][26][27], SU(n) Hubbard phases and phase transitions [28][29][30], single- [31] and two-orbital [32][33][34][35] SU(n) magnetism, and multi-body SU(n)-symmetric interactions [36,37].…”
Section: Su(n) Symmetries Play An Important Role In Physicsmentioning
confidence: 99%
“…To calculate the thermodynamic observables, we employ two numerical techniques, DQMC [81,82] and NLCE [83,84], which have complementary strengths, and compare in some cases with low-order analytic HTSE and the non-interacting limit. The DQMC and NLCE are often the numerical methods of choice for the SU(2) FHM in the finite-temperature regime studied in ultracold matter [85][86][87][88][89], and we use our extensions of these methods to SU(N ) systems [67]. Generally speaking, the DQMC will perform best at weak to intermediate interactions, while the NLCE performs best at strong interactions; we present both methods where both are viable.…”
Section: A the Su(n ) Hubbard Hamiltonian And Observablesmentioning
confidence: 99%
“…, 10. In recent years, experiments with 173 Yb in OLs have probed the SU(N ) FHM's interesting physics: The Mott insulator state for SU (6) in three dimensions [64], the equation of state for SU (3) and SU (6) in three dimensions [65], nearest-neighbor antiferromagnetic (AFM) correlations in an SU(4) system with a dimerized OL [66], nearest-neighbor SU (6) AFM correlations in OLs with uniform tunneling matrix elements in one, two, and three dimensions [67], and recently a flavor-selective Mott insulator for SU (3) [68]. Furthermore, employing quantum gas microscopy [69][70][71][72][73][74][75] to discriminate finite temperature analogs of the variety of proposed ground states [30,31,[50][51][52][53][54][55] via direct observation of long-ranged correlations [67,[76][77][78] is expected to reveal a wealth of physics. All of these experimental efforts make an understanding of the 2D square lattice thermodynamics urgent.…”
Section: Introductionmentioning
confidence: 99%

Universal thermodynamics of an SU($N$) Fermi-Hubbard Model

Ibarra-García-Padilla,
Dasgupta,
Wei
et al. 2021
Preprint
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“…Another recent development is the study of cold-atom systems which offer a generalization of the well studied SU(2) Hubbard model with two spin species to the SU(N) Hubbard model with N species of Fermions [7][8][9][10]. Taking these Fermi Hubbard systems down to very low temperatures remains a challenge for experiments, but already interesting behavior can be seen at moderate to high temperatures.…”
Section: Introductionmentioning
confidence: 99%