期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 45, 期 32, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/45/32/325301
关键词
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资金
- Ministry of Science and Innovation of Spain [MTM2008-06689-C02-01, MTM2011-28952-C02-01]
- European Regional Development Fund (ERDF)
- Diputacion General de Aragon (Spain) [E-64]
- EPRSC
- Fundacion Ramon Areces
- Spanish project (MICINN) [FIS2011-24540]
- Junta de Andalucia [FQM-2445, FQM-4643]
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 density-density 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 one-dimensional 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.
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