Many-body spin interactions and the ground state of a dense Rydberg lattice gas

Details Many-body spin interactions and the ground state of a dense Rydberg lattice gas Many-body spin interactions and the ground state of a dense Rydberg lattice gas

2010-10-12

arxiv.org/abs/1010.2349v2

Phys. Rev. Lett. 106, 025301 (2011)

Physics

Atomic Physics

Scientific paper

We study a one-dimensional atomic lattice gas in which Rydberg atoms are excited by a laser and whose external dynamics is frozen. We identify a parameter regime in which the Hamiltonian is well-approximated by a spin Hamiltonian with quasi-local many-body interactions which possesses an exact analytic ground state solution. This state is a superposition of all states of the system that are compatible with an interaction induced constraint weighted by a fugacity. We perform a detailed analysis of this state which exhibits a cross-over between a paramagnetic phase with short-ranged correlations and a crystal. This study also leads us to a class of spin models with many-body interactions that permit an analytic ground state solution.

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