Coherent Manipulation of Spin Correlations in the Hubbard Model

Abstract

We coherently manipulate spin correlations in a two-component atomic Fermi gas loaded into an optical lattice using spatially and time-resolved Ramsey spectroscopy combined with high-resolution \textit{in situ} imaging. This novel technique allows us not only to imprint spin patterns but also to probe the static magnetic structure factor at arbitrary wave vector, in particular the staggered structure factor. From a measurement along the diagonal of the $1^{\mathrm{st}}$ Brillouin zone of the optical lattice, we determine the magnetic correlation length and the individual spatial spin correlators. At half filling, the staggered magnetic structure factor serves as a sensitive thermometer for the spin temperature, which we employ to study the thermalization of spin and density degrees of freedom during a slow quench of the lattice depth.

References in corpus (6)

• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
• Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases

Cited by in corpus (8)

• Exploration of doped quantum magnets with ultracold atoms
• Competing magnetic orders in a bilayer Hubbard model with ultracold atoms
• Angle-resolved photoemission spectroscopy of a Fermi-Hubbard system
• Proposal for asymmetric photoemission and tunneling spectroscopies in quantum simulators of the triangular-lattice Fermi-Hubbard model
• Simulating a Mott insulator using attractive interaction
• Spin-imbalance-induced transverse magnetization in the Hofstadter-Hubbard model
• Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models
• Quantum simulation of the Hubbard model with ultracold fermions in optical lattices