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Rydberg transverse field Ising (TFI) Hamiltonian

$$ \frac{\hat{H}}{\hbar}=\frac{\Omega}{2}\sum_j\hat{\sigma}^x_j-\Delta \sum_j\hat{n}j + \sum{j<k}U_{jk} \hat{n}_j \hat{n}_k $$

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Rydberg atom

Rydberg atom

Rydberg atom wavefunction

Rydberg interaction

Rydberg blockade

Rydberg atom quantum gate

Quantum simulation

Quantum phase transition (QPT)

Transverse-field Ising model (TFI)

Kibble-Zurek mechanism (KZM)

XY model