Two-Stage Melting in Systems of Strongly Interacting Rydberg Atoms
arXiv:1007.2189 · doi:10.1103/PhysRevLett.105.230403
Abstract
We analyze the ground state properties of a one-dimensional cold atomic system in a lattice, where Rydberg excitations are created by an external laser drive. In the classical limit, the ground state is characterized by a complete devil's staircase for the commensurate solid structures of Rydberg excitations. Using perturbation theory and a mapping onto an effective low energy Hamiltonian, we find a transition of these commensurate solids into a floating solid with algebraic correlations. For stronger quantum fluctuations the floating solid eventually melts within a second quantum phase transition and the ground state becomes paramagnetic.
arXiv comment4 pages, 3 figures
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