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Publication Detail / Abstract

H. Gao, J. R. Coulthard, D. Jaksch, J. Mur-Petit

Controlling magnetic correlations in a driven Hubbard system far from half-filling

published on Physical Review A on May 28, 2020
> Full text via publisher
We propose using ultracold fermionic atoms trapped in a periodically shaken optical lattice as a quantum simulator of the t−J Hamiltonian, which describes the dynamics in doped antiferromagnets and is thought to be relevant to the problem of high-temperature superconductivity in the cuprates. We show analytically that the effective Hamiltonian describing this system for off-resonant driving is the t−J model with additional pair hopping terms, whose parameters can all be controlled by the drive. We then demonstrate numerically using tensor network methods for a one-dimensional (1D) lattice that a slow modification of the driving strength allows near-adiabatic transfer of the system from the ground state of the underlying Hubbard model to the ground state of the effective t−J Hamiltonian. Finally, we report exact diagonalization calculations illustrating the control achievable on the dynamics of spin-singlet pairs in 2D lattices utilizing this technique with current cold-atom quantum-simulation technology. These results open new routes to explore the interplay between density and spin in strongly correlated fermionic systems through their out-of-equilibrium dynamics.
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