Long-range transverse Ising model built with dipolar condensates in two-well arrays

Abstract

Dipolar Bose-Einstein condensates in an array of double-well potentials realize an effective transverse Ising model with peculiar inter-layer interactions, that may result under proper conditions in an anomalous first-order ferromagnetic-antiferromagnetic phase transition, and nontrivial phases due to frustration. The considered setup as well allows the study of Kibble-Zurek defect formation, whose kink statistics follows that expected from the universality class of the mean-field transverse Ising model in 1D. Furthermore, random occupation of each layer of the stack leads to random effective Ising interactions and generation of local transverse fields, thus allowing the study of Anderson-like localization of imbalance perturbations in the two-well stack under controllable conditions.

6 pages, 5 figures, and 37 references; New Journal Physics, in press

References in corpus (12)

• A High Phase-Space-Density Gas of Polar Molecules
• Bose-Einstein condensation of chromium
• Bose-Einstein Condensation of Erbium
• Observation of quantum droplets in a strongly dipolar Bose gas
• Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
• Ultracold Dipolar Gas of Fermionic ${}^{23}$Na${}^{40}$K Molecules in their Absolute Ground State
• Strong dipolar effects in a quantum ferrofluid
• Stabilizing a purely dipolar quantum gas against collapse
• Anisotropic solitons in dipolar Bose-Einstein Condensates
• Vortices in dipolar condensates with dominant dipolar interactions
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Cited by in corpus (8)

• Relaxation of an isolated dipolar-interacting Rydberg quantum spin system
• Anisotropic semi-vortices in dipolar spinor condensates controlled by Zeeman splitting
• Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
• Cross-symmetric dipolar-matter-wave solitons in double-well chains
• Cross-symmetry breaking of two-component discrete dipolar matter-wave solitons
• Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas
• Magnetic monopole induced polarons in atomic superlattices
• Resonant dynamics of spin cluster in a periodically driven one-dimensional Rydberg lattice