Numerical simulations show Mottness emerges first via two-particle charge response suppression in an anomalous metallic regime of the Hubbard model, prior to single-particle spectral gaps, with doping signatures following from this precursor state.
Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
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abstract
We demonstrate the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms. Using laser-assisted tunneling in a tilted optical potential we engineer spatially dependent complex tunneling amplitudes. Thereby atoms hopping in the lattice accumulate a phase shift equivalent to the Aharonov-Bohm phase of charged particles in a magnetic field. We determine the local distribution of fluxes through the observation of cyclotron orbits of the atoms on lattice plaquettes, showing that the system is described by the Hofstadter model. Furthermore, we show that for two atomic spin states with opposite magnetic moments, our system naturally realizes the time-reversal symmetric Hamiltonian underlying the quantum spin Hall effect, i.e., two different spin components experience opposite directions of the magnetic field.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Linear-programming method for conjugating local fermionic unitaries with free evolution realizes arbitrary complex tunneling coefficients in fermionic lattice models constrained only by connectivity.
citing papers explorer
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Finite temperature precursors of Mottness in the Fermi Hubbard model
Numerical simulations show Mottness emerges first via two-particle charge response suppression in an anomalous metallic regime of the Hubbard model, prior to single-particle spectral gaps, with doping signatures following from this precursor state.
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Fermionic Hamiltonian engineering with local control
Linear-programming method for conjugating local fermionic unitaries with free evolution realizes arbitrary complex tunneling coefficients in fermionic lattice models constrained only by connectivity.