Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00340-016-6596-4
Title: Topological spin models in Rydberg lattices
Authors: Kiffner, M 
O’Brien, E
Jaksch, D 
Keywords: Magnetic fields
Rydberg states
Topology
Dipole coupling
Dipole interaction
Hopping amplitude
Parameter regimes
Single-particle band structure
Time reversal symmetries
Topological effects
Triangular lattice
Magnetic field effects
Issue Date: 2017
Publisher: Springer Verlag
Citation: Kiffner, M, O’Brien, E, Jaksch, D (2017). Topological spin models in Rydberg lattices. Applied Physics B: Lasers and Optics 123 (1) : 46. ScholarBank@NUS Repository. https://doi.org/10.1007/s00340-016-6596-4
Rights: Attribution 4.0 International
Abstract: We show that resonant dipole–dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole–dipole coupling between np and ns Rydberg states and derive an effective spin-1/2 Hamiltonian for the np excitations. By breaking time-reversal symmetry via external fields, we engineer complex hopping amplitudes for transitions between two rectangular sub-lattices. The phase of these hopping amplitudes depends on the direction of the hop. This gives rise to a staggered, artificial magnetic field which induces non-trivial topological effects. We calculate the single-particle band structure and investigate its Chern numbers as a function of the lattice parameters and the detuning between the two sub-lattices. We identify extended parameter regimes where the Chern number of the lowest band is C= 1 or C= 2. © 2017, The Author(s).
Source Title: Applied Physics B: Lasers and Optics
URI: https://scholarbank.nus.edu.sg/handle/10635/179267
ISSN: 0946-2171
DOI: 10.1007/s00340-016-6596-4
Rights: Attribution 4.0 International
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