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

Journal article

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.

Authors: Gao, H; Coulthard, JR; Jaksch, D; Mur-Petit, J

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: American Physical Society
• Journal: Physical Review A
• Volume: 101
• Issue: 5
• Article number: 53634
• Publication date: 2020-05-28
• Acceptance date: 2020-05-07
• DOI: 10.1103/physreva.101.053634
• EISSN: 2469-9934
• ISSN: 2469-9926
• Language: English
• Keywords: Quantum Information; Atomic, Molecular & Optical; FFR; Condensed Matter & Materials Physics