Controlling magnetic correlations in a driven Hubbard system far from half-filling
Abstract
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 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 utilising 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.
Cite
@article{arxiv.2002.02312,
title = {Controlling magnetic correlations in a driven Hubbard system far from half-filling},
author = {Hongmin Gao and Jonathan R. Coulthard and Dieter Jaksch and Jordi Mur-Petit},
journal= {arXiv preprint arXiv:2002.02312},
year = {2020}
}