2014
DOI: 10.1088/1751-8113/47/48/482001
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Effective dynamics of strongly dissipative Rydberg gases

Abstract: Abstract. We investigate the evolution of interacting Rydberg gases in the limit of strong noise and dissipation. Starting from a description in terms of a Markovian quantum master equation we derive effective equations of motion that govern the dynamics on a "coarse-grained" timescale where fast dissipative degrees of freedom have been adiabatically eliminated. Specifically, we consider two scenarios which are of relevance for current theoretical and experimental studies -Rydberg atoms in a twolevel (spin) ap… Show more

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Cited by 43 publications
(53 citation statements)
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“…In this sense, the dynamics is affected by kinetic constraints of the type that are usually considered in simplified models of the glass transition [20]. This description of the Rydberg gas dynamics has been recently used in a number of theoretical works [18,[21][22][23][24][25][26] and was also successfully employed to model experiments [12,16]. A similar perturbative approach to the derivation of effective dynamics in the limit of strong dissipation was proposed in Ref.…”
Section: Effective Dynamicsmentioning
confidence: 99%
“…In this sense, the dynamics is affected by kinetic constraints of the type that are usually considered in simplified models of the glass transition [20]. This description of the Rydberg gas dynamics has been recently used in a number of theoretical works [18,[21][22][23][24][25][26] and was also successfully employed to model experiments [12,16]. A similar perturbative approach to the derivation of effective dynamics in the limit of strong dissipation was proposed in Ref.…”
Section: Effective Dynamicsmentioning
confidence: 99%
“…This method has been shown to correctly reproduce the dynamics of the quantum system in the regime P > P > C because under these conditions the dynamics of the coherences can be adiabatically eliminated [36,54,55]. Here we work in a three-level approximation where the degeneracy of the intermediate state is ignored, and the time-dependent model is solved numerically for a uniform (random) spatial distribution of atoms at each density.…”
Section: Effect Of Interactionsmentioning
confidence: 99%
“…Here, we explore the regime of incoherent evolution, γ , where γ is the decay rate of the atomic coherences. In this strong dissipation limit the evolution of the many-body system is restricted to the subspace of classical spin configurations by virtue of the quantum Zeno effect [15]. The dynamics can be written as a classical rate equation with rates for excitation and deexcitation [9,11],…”
mentioning
confidence: 99%
“…We simulate the dynamics of our laser-driven Rydberg gas in the limit of strong dissipation using the equation [15] …”
mentioning
confidence: 99%