Spectra and ground states of one- and two-dimensional laser-driven lattices of ultracold Rydberg atoms

Abstract

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 discussed.

15 pages, 11 Figures

References in corpus (13)

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• Collective quantum jumps of Rydberg atoms
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Cited by in corpus (11)

• Preparation of entangled and antiferromagnetic states by dissipative Rydberg pumping
• Non-adiabatic motional effects and dissipative blockade for Rydberg atoms excited from optical lattices or microtraps
• Binding potentials and interaction gates between microwave-dressed Rydberg atoms
• Simplified scheme for entanglement preparation with Rydberg pumping via dissipation
• Two-dimensional crystals of Rydberg excitations in a resonantly driven lattice gas
• The effect of random positions for dipole hopping through a Rydberg gas
• Dynamical preparation of laser-excited anisotropic Rydberg crystals in 2D optical lattices
• Rydberg crystallization detection by statistical means
• Universal time-evolution of a Rydberg lattice gas with perfect blockade
• On the adiabatic preparation of spatially-ordered Rydberg excitations of atoms in a one-dimensional optical lattice by laser frequency sweeps
• Inhomogeneities and impurities in a dense one-dimensional Rydberg lattice gas