Two-Stage Melting in Systems of Strongly Interacting Rydberg Atoms

Details Two-Stage Melting in Systems of Strongly Interacting Rydberg Atoms Two-Stage Melting in Systems of Strongly Interacting Rydberg Atoms

2010-07-13

arxiv.org/abs/1007.2189v2

Phys. Rev. Lett. 105, 230403 (2010)

Physics

Condensed Matter

Quantum Gases

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.105.230403

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.

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