Quantum simulation of Cayley-tree Ising Hamiltonians with three-dimensional Rydberg atoms

Emergence of Hilbert Space Fragmentation in Ising Models with a Weak Transverse Field

“…Our results indicate that nontrivial initial-state dependence is observed for prethermal dynamics of the Ising models in a weak transverse field. Because the TFIM in two and three dimensions are experimentally realizable [16,[85][86][87][88][89][90][91], we believe that the model serves as a novel platform for observing the signatures of HSF, which is distinct from previous experiments that required, e.g., tilted potentials [77,92,93]. Given that Ĥeff is obtained in the weak-field limit of the TFIM, it is interesting to see how properties of the Ising model without the transverse field, such as (classical) integrability and finite-temperature phase transition, affect physics in our model.…”

Motional decoherence in ultracold Rydberg atom quantum simulators of spin models

“…Arrays of Rydberg atoms, built either via optical lattices [1][2][3] or programmable microtraps [4][5][6][7][8][9][10][11][12][13][14], provide a versatile platform for studying quantum many-body systems, including their real-time dynamics. Recent experiments have realized synthetic quantum magnetic systems by constructing Rydberg-atom lattices with blockade radii R b that are comparable to the lattice constants a l [7][8][9][10][11][12][13][14][15][16][17]. Such systems are widely used in areas like controlling many-body quantum phases [12][13][14][15][16] and studying out-of-equilibrium dynamics [7][8][9]17].…”

“…Recent experiments have realized synthetic quantum magnetic systems by constructing Rydberg-atom lattices with blockade radii R b that are comparable to the lattice constants a l [7][8][9][10][11][12][13][14][15][16][17]. Such systems are widely used in areas like controlling many-body quantum phases [12][13][14][15][16] and studying out-of-equilibrium dynamics [7][8][9]17].…”

Rydberg Quantum Wires for Maximum Independent Set Problems with Nonplanar and High-Degree Graphs

“…Namely, qubits of the two systems become entangled so that the MIS solution of a target graph is accessible. Quantum simulation of MIS problems is performed with quantum annealing of 3D atom arrays [20]. In experiments, neutral 87 Rb atoms are arranged in free space in such a way that all nearest-neighbor atom pairs, which describe the edges of the graphs, are kept at a fixed interatomic distance d smaller than the Rydberg blockade radius, i.e., d < r b = (C 6 / Ω) 1/6 = 9.8 µm, and that all other atom pairs, which are not connected by edges, are at longer distances [20,21].…”

“…Quantum simulation of MIS problems is performed with quantum annealing of 3D atom arrays [20]. In experiments, neutral 87 Rb atoms are arranged in free space in such a way that all nearest-neighbor atom pairs, which describe the edges of the graphs, are kept at a fixed interatomic distance d smaller than the Rydberg blockade radius, i.e., d < r b = (C 6 / Ω) 1/6 = 9.8 µm, and that all other atom pairs, which are not connected by edges, are at longer distances [20,21]. The ground state 5S 1/2 , F = 2, m F = 2 = |n = 0 and the Rydberg state 71S 1/2 , m J = 1/2 = |n = 1 of each atom are used for the qubit two-state system.…”