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Quantum Simulation

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

arXiv
Authors: I. Lesanovsky

Year

2010

Paper ID

10891

Status

Preprint

Abstract Read

~2 min

Abstract Words

115

Citations

N/A

Abstract

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We study a one-dimensional atomic lattice gas in which Rydberg atoms are excited by a laser and whose external dynamics is frozen.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.2349 [2] arXiv https://arxiv.org/abs/1010.2349 [3] Publisher https://arxiv.org/abs/1010.2349

Local Citation Graph (Related-Paper Links)

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