Simulating frustrated magnetism with spinor Bose gases

Abstract

Although there is a broad consensus on the fact that critical behavior in stacked triangular Heisenberg antiferromagnets --an example of frustrated magnets with competing interactions-- is described by a Landau-Ginzburg-Wilson Hamiltonian with O(3)$\times$O(2) symmetry, the nature of the phase transition in three dimensions is still debated. We show that spin-one Bose gases provide us with a simulator of the O(3)$\times$O(2) model. Using a renormalization-group approach, we argue that the transition is weakly first order and shows pseudoscaling behavior, and give estimates of the pseudocritical exponent $\nu$ in ${}^{87}$Rb, ${}^{41}$K and ${}^7$Li atom gases which can be tested experimentally.

v1) 6 pages, 4 figures, v2) revised version

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Cited by in corpus (7)

• The nonperturbative functional renormalization group and its applications
• A glassy phase in quenched disordered graphene and crystalline membranes
• Nonequilibrium Criticality at the Onset of Time-Crystalline Order
• Critical phenomena at the complex tensor ordering phase transition
• Magnetic phases of spin-1 lattice gases with random interactions
• First-order phase transitions in spinor Bose gases and frustrated magnets
• Superfluid phase transition of nanoscale-confined helium-3