Perspectives of optical lattices with state-dependent tunneling in approaching quantum magnetism in the presence of the external harmonic trapping potential
Andrii Sotnikov

TL;DR
This paper explores how state-dependent tunneling in optical lattices can aid in detecting antiferromagnetic correlations, emphasizing the importance of hopping amplitude differences for symmetry breaking and measurement enhancement.
Contribution
It demonstrates that differences in hopping amplitudes are crucial for symmetry breaking and improving detection of magnetic correlations in optical lattice experiments.
Findings
Hopping imbalance is key for symmetry breaking in pseudospin space.
Nonzero hopping difference enhances signal-to-noise ratio in measurements.
Mixtures with large hopping imbalance do not offer additional advantages for quantum magnetism.
Abstract
We study theoretically potential advantages of two-component mixtures in optical lattices with state-dependent tunneling for approaching long-range-order phases and detecting easy-axis antiferromagnetic correlations. While we do not find additional advantages of mixtures with large hopping imbalance for approaching quantum magnetism in a harmonic trap, it is shown that a nonzero difference in hopping amplitudes remains highly important for a proper symmetry breaking in the pseudospin space for the single-site-resolution imaging and can be advantageously used for a significant increase of the signal-to-noise ratio and thus detecting long-range easy-axis antiferromagnetic correlations in the corresponding experiments.
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