2012/02/29 by W. Zeller, Wolfgang Zeller, Michael Mayle +3
Physics and Astronomy · #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Geometry #Ground state #Laser #Lattice (music) #Physics #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Quantum optics and atomic interactions #Rydberg atom #Rydberg formula #Spectral line #Square (algebra) #Square lattice #Ultracold atom #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physreva.85.063603
published as Physical Review A 85, 063603 (2012) · 15 pages, 11 Figures
arxiv created 2012/06/01 · openalex publication_date 2012/06/01 · arxiv updated 2012/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate static properties of laser-driven ultracold Rydberg atoms confined to one- and two-dimensional uniform lattices in the limit of vanishing laser coupling. The spectral structure of square lattices is compared to those of linear chains, and similarities as well as differences are pointed out. Furthermore, we employ a method based on elements of graph theory to numerically determine the laser-detuning-dependent ground states of various lattice geometries. Ground states for chains as well as square and rectangular lattices are provided and are discussed.