Effective dynamics of strongly dissipative Rydberg gases

Marcuzzi, Matteo; Schick, J; Olmos, Beatriz; Lesanovsky, Igor

doi:10.1088/1751-8113/47/48/482001

Cited by 44 publications

(53 citation statements)

References 56 publications

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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%

Self-similar nonequilibrium dynamics of a many-body system with power-law interactions

2015

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The influence of power-law interactions on the dynamics of many-body systems far from equilibrium is much less explored than their effect on static and thermodynamic properties. To gain insight into this problem we introduce and analyze here an out-of-equilibrium deposition process in which the deposition rate of a given particle depends as a power-law on the distance to previously deposited particles. This model draws its relevance from recent experimental progress in the domain of cold atomic gases which are studied in a setting where atoms that are excited to high-lying Rydberg states interact through power-law potentials that translate into power-law excitation rates. The out-of-equilibrium dynamics of this system turns out to be surprisingly rich. It features a selfsimilar evolution which leads to a characteristic power-law time dependence of observables such as the particle concentration, and results in a scale invariance of the structure factor. Our findings show that in dissipative Rydberg gases out of equilibrium the characteristic distance among excitations -often referred to as the blockade radius -is not a static but rather a dynamic quantity.

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Section: Effective Dynamicsmentioning

confidence: 99%

Self-similar nonequilibrium dynamics of a many-body system with power-law interactions

2015

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“…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%

Radiation trapping in a dense cold Rydberg gas

et al. 2017

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The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Cold atomic gases resonantly excited to Rydberg states can exhibit strong optical nonlinearity at the singlephoton level. We observe that in such samples radiation trapping leads to an additional mechanism for Rydberg excitation. Conversely we demonstrate that Rydberg excitation provides an in situ probe of the spectral, statistical, temporal, and spatial properties of the trapped rescattered light. We also show that absorption can lead to an excitation saturation that mimics the Rydberg blockade effect. Collective effects due to multiple scattering may coexist with cooperative effects due to long-range interactions between the Rydberg atoms, adding a new dimension to quantum optics experiments with cold Rydberg gases.

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“…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],…”

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“…We simulate the dynamics of our laser-driven Rydberg gas in the limit of strong dissipation using the equation [15] …”

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Experimental observation of controllable kinetic constraints in a cold atomic gas

et al. 2016

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Many-body systems relaxing to equilibrium can exhibit complex dynamics even if their steady state is trivial. In situations where relaxation requires highly constrained local particle rearrangements, such as in glassy systems, this dynamics can be difficult to analyze from first principles. The essential physical ingredients, however, can be captured by idealized lattice models with so-called kinetic constraints. While so far constrained dynamics has been considered mostly as an effective and idealized theoretical description of complex relaxation, here we experimentally realize a many-body system exhibiting manifest kinetic constraints and measure its dynamical properties. In the cold Rydberg gas used in our experiments, the nature of the kinetic constraints can be tailored through the detuning of the excitation lasers from resonance. The system undergoes a dynamics which is characterized by pronounced spatial correlations or anticorrelations, depending on the detuning. Our results confirm recent theoretical predictions, and highlight the analogy between the dynamics of interacting Rydberg gases and that of certain soft-matter systems. DOI: 10.1103/PhysRevA.93.040701 Complex collective relaxation in many-body systems is often accompanied by a dramatic slowdown of diffusion processes and the emergence of nonergodic and glassy phases [1][2][3][4]. At low temperatures or high densities their evolution is often dominated by steric hindrances affecting particle motion. Local rearrangements are highly constrained, giving rise to collective-and often slow-relaxation. These features can be seen to be the consequence of effective kinetic constraints in the dynamics [5]. A kinetic constraint is a condition on the rate for a local transition dependent on the local environment: The transition and its reverse-irrespective of whether they are energetically favorable or unfavorable-can only occur if the constraint is satisfied. Kinetic constraints [6] can severely restrict relaxation in situations where local particle arrangements make satisfying them unlikely, which is typical of fluid systems with excluded volume interactions such as dense colloids or supercooled liquids [1][2][3][4]. When a constraint is satisfied, however, the transition is allowed and a local rearrangement is "facilitated" [5,6]. Kinetic constraints naturally give rise [7] to collective and spatially heterogeneous relaxation, and are used to describe situations where the correlation properties of the dynamics go beyond those of the static stationary state, a salient feature of glassy systems [4].Steric hindrances and dynamic facilitation are argued to play a central role in the behavior of glass formers [5]. However, it can be difficult [8] to establish unambiguously the relation between microscopic processes and emerging kinetic constraints, or between idealized models with explicit kinetic constraints and actual physical systems. In this Rapid Communication we establish such a direct connection by reporting the experimental observation of correlated...

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Effective dynamics of strongly dissipative Rydberg gases

Cited by 44 publications

References 56 publications

Self-similar nonequilibrium dynamics of a many-body system with power-law interactions

Self-similar nonequilibrium dynamics of a many-body system with power-law interactions

Radiation trapping in a dense cold Rydberg gas

Experimental observation of controllable kinetic constraints in a cold atomic gas

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