Universal time evolution of a Rydberg lattice gas with perfect blockade
Abstract
We investigate the dynamics of a strongly interacting spin system that is motivated by current experimental realizations of strongly interacting Rydberg gases in lattices. In particular, we are interested in the temporal evolution of quantities such as the density of Rydberg atoms and densitydensity correlations when the system is initialized in a fully polarized state without Rydberg excitations. We show that in the thermodynamic limit the expectation values of these observables converge at least logarithmically to universal functions and outline a method to obtain these functions. We prove that a finite onedimensional system follows this universal behavior up to a given time. The length of this universal time period depends on the actual system size. This shows that the study of small systems allows us to make precise predictions about the thermodynamic limit provided that the observation time is sufficiently short. We discuss this for various observables and for systems with different dimensions, interaction ranges and boundary conditions.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 August 2012
 DOI:
 10.1088/17518113/45/32/325301
 arXiv:
 arXiv:1203.0385
 Bibcode:
 2012JPhA...45F5301O
 Keywords:

 Quantum Physics
 EPrint:
 16 pages, 3 figures