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Accepted · first revision · record

Title: Do two-body losses create long-range magnetic correlations in Hubbard lattices?
Plain: Removing pairs of atoms that occupy the same lattice site leaves the survivors in special spin arrangements. Small double-well experiments saw the magnetic correlations flip sign, and whether this grows into extended magnetic order in a full lattice is open.
Precise: Two-component fermions in a 2D optical lattice described by the Hubbard model $(t, U)$ plus engineered on-site two-body loss at rate $\gamma$ (for example by photoassociation). Starting from an antiferromagnetically correlated state, determine the time evolution of the spin correlation function $C(r)$ of the surviving atoms, whether nearest-neighbour correlations reverse sign as predicted for double wells, and whether the reversed correlations extend beyond one lattice spacing, as functions of $\gamma/t$ and $U/t$. Answer: $C(r, \mathrm{time})$ measured and reproduced by Lindblad numerics.
Settled by: Quantum gas microscope measurements of C(r) in a lossy 2D lattice compared with full Lindblad simulation.
Kind: well-posed
Answer type: yes-no
References: (empty)
Literature status: partially-resolved
Status note: Sign reversal of the magnetic correlation was observed in isolated double wells (Honda et al., PRL 130, 063001, 2023); extended lattices are untested.
Posed since: (empty)