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Many-body dynamics of Rydberg excitation using the $Omega$-expansion

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 Added by Jovica Stanojevic
 Publication date 2008
  fields Physics
and research's language is English




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We investigate the excitation dynamics of Rydberg atoms in ultracold atomic samples by expanding the excitation probability and the correlation function between excited atoms in powers of the isolated atom Rabi frequency $Omega$. In the Heisenberg picture, we give recurrence relations to calculate any order of the expansions, which ere expected to be well-behaved for arbitrarily strong interactions. For homogeneous large samples, we give the explicit form of the expansions, up to $Omega^4$, averaged over all possible random spatial distributions of atoms, for the most important cases of excitation pulses and interactions.



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445 - J. Stanojevic , R. C^ote 2008
We investigate the collective aspects of Rydberg excitation in ultracold mesoscopic systems. Strong interactions between Rydberg atoms influence the excitation process and impose correlations between excited atoms. The manifestations of the collective behavior of Rydberg excitation are the many-body Rabi oscillations, spatial correlations between atoms as well as the fluctuations of the number of excited atoms. We study these phenomena in detail by numerically solving the many-body Schredinger equation.
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