Collective Rydberg excitations of an atomic gas confined in a ring lattice

Abstract

We study the excitation dynamics of Rydberg atoms in a one-dimensional lattice with periodic boundary conditions where the atomic Rydberg states are resonantly excited from the electronic ground state. Our description of the corresponding dynamics is numerically exact within the perfect blockade regime, i.e. no two atoms in a given range can be excited. The time-evolution of the mean Rydberg density, density-density correlations as well as entanglement properties are analyzed in detail. We demonstrate that the short time dynamics is universal and dominated by quantum phenomena, while for larger time the characteristics of the lattice become important and the classical features determine the dynamics. The results of the perfect blockade approach are compared to the predictions of an effective Hamiltonian which includes the interaction of two neighboring Rydberg atoms up to second order perturbation theory.

10 pages, 11 figures

References in corpus (7)

• Observation of collective excitation of two individual atoms in the Rydberg blockade regime
• Evidence for coherent collective Rydberg excitation in the strong blockade regime
• Quantum critical behavior in strongly interacting Rydberg gases
• Rydberg excitation of Bose-Einstein condensates
• Rabi oscillations and excitation trapping in the coherent excitation of a mesoscopic frozen Rydberg gas
• Numerical study of two-body correlation in a 1D lattice with perfect blockade
• Geometric phase of an atom in a magnetic storage ring

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