Observation of Three-Body Correlations for Photons Coupled to a Rydberg Superatom

Stiesdal, Nina; Kumlin, Jan; Kleinbeck, Kevin; Lunt, Philipp; Braun, Christoph; Paris-Mandoki, Asaf; Tresp, Christoph; Büchler, Hans Peter; Hofferberth, Sebastian

doi:10.1103/physrevlett.121.103601

Cited by 47 publications

(35 citation statements)

References 41 publications

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“…Our observations are thus relevant for a broad range of systems with collective excitations as, for example, quantum memories. In particular, it is of fundamental importance for understanding Rydberg superatoms in free space which have recently attracted a lot of experimental attention [23], and we expect that the influence of this coherent exchange interaction is also relevant for the recent experimental observation of an oscillatory behavior of the decay rate of such Rydberg superatoms [25,60]. Here, we give some additional information on how to arrive at Eq.…”

Section: Discussionmentioning

confidence: 99%

Nonexponential decay of a collective excitation in an atomic ensemble coupled to a one-dimensional waveguide

et al. 2020

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We study the dynamics of a single excitation coherently shared among an ensemble of atoms and coupled to a one-dimensional wave guide. The coupling between the matter and the light field gives rise to collective phenomena such as superradiant states with an enhanced initial decay rate, but also to the coherent exchange of the excitation between the atoms. We find that the competition between the two phenomena provides a characteristic dynamics for the decay of the excitations, and remarkably exhibits an algebraic behavior, instead of the expected standard exponential one, for a large number of atoms. The analysis is first performed for a chiral waveguide, where the problem can be solved analytically. Remarkably, we demonstrate that a bidirectional waveguide exhibits the same behavior for large number of atoms and, therefore, it is possible to experimentally access characteristic properties of a chiral waveguide also within a bidirectional waveguide.

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Section: Discussionmentioning

confidence: 99%

Nonexponential decay of a collective excitation in an atomic ensemble coupled to a one-dimensional waveguide

et al. 2020

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“…Our analysis applies to few-body bound states realized, for example, with polar molecules in optical lattices [22] or Rydberg atoms in tweezers [23], and to systems with three-site blockade (V → ∞ limit), such as Coulomb blockaded Rydberg gases [24] and quantum dots [25]. Other potential experimental systems with few-body interactions include trapped ultracold gases [26][27][28], ultracold atoms in optical lattices [29][30][31][32][33], Rydberg excitations in cold gases [34][35][36][37][38][39], Rydberg slow light polaritons [40][41][42][43], ion traps [44], optics coupled-cavity arrays [45], and circuit QED systems [46], where many of the ideas we discuss and others [47] can be investigated. We note that our method allows the simulation of spectroscopy in the frequency domain (inset of Figure 1) and can be extended to analyze the time-resolved response in one and higher dimensions.…”

Section: Trimermentioning

confidence: 99%

Exploring universal and nonuniversal regimes of trimers from three-body interactions in one-dimensional lattices

Christianen

Sous

2020

Phys. Rev. A

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We investigate the formation of trimers in an infinite one-dimensional lattice model with singleparticle hopping t and hard-core two-body U and three-body V interactions of relevance to Rydberg atoms and polar molecules. For sufficiently attractive U ≤ −2t and positive V > 0 a large trimer is stabilized, which persists as V → ∞, while both attractive U ≤ 0 and V ≤ 0 bind a small trimer. Surprisingly, the excited state above this small trimer is also bound and has a large extent; its behavior as V → −∞ resembles that of the large ground-state trimer.

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“…The functions which are higher order in time can be expected to be less relevant, but as we will see, the three-time correlation functions are useful as tie-breakers. Correlation for measurement records, by definition, can be obtained from averaging over all possible record realisations, and both two-and three-time correlation functions have been measured experimentally [42][43][44][45]. Here we acquire analytical solutions, using the average dynamics described by the Lindblad master equation, equation (17).…”

Section: Correlators Relevant For Quantum State Smoothingmentioning

confidence: 99%

Quantum state smoothing: why the types of observed and unobserved measurements matter

2019

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We investigate the estimation technique called quantum state smoothing introduced in (Guevara and Wiseman 2015 Phys. Rev. Lett. 115 180407), which offers a valid quantum state estimate for a partially monitored system, conditioned on the observed record both prior and posterior to an estimation time. The technique was shown to give a better estimate of the underlying true quantum states than the usual quantum filtering approach. However, the improvement in estimation fidelity, originally examined for a resonantly driven qubit coupled to two vacuum baths, was also shown to vary depending on the types of detection used for the qubit's fluorescence. In this work, we analyse this variation in a systematic way for the first time. We first define smoothing power using an average purity recovery and a relative average purity recovery, of smoothing over filtering. Then, we explore the power for various combinations of fluorescence detection for both observed and unobserved channels. We next propose a method to explain the variation of the smoothing power, based on multitime correlation strength between fluorescence detection records. The method gives a prediction of smoothing power for different combinations, which is remarkably successful in comparison with numerically simulated qubit trajectories. Gesellschaft which is a function of time difference τ and is symmetric under the interchange of the records, i.e.3 ss ss ss 2 using the steady-state correlators defined in equation (21)- (22). We note that the first argument,definition is the record that appear twice in the correlator. Thus we now have correlators in equations (23) and (26) defined with unit-less measurement results and can capture solely the correlation between any two records. We show in figures 4(a) and (b) the two-time and threetime correlators for all combinations of records JK and J d M , as functions of τ. There are only two out of six of the two-time correlators that are zero:  [ ] J J d , d X N 2 , and  [ ] J J d , d X Y 2 . For the three-time correlators, there are three out of nine, i.e.    [ ] [ ] [ ] in equation (23) are shown as functions of τ. The non-vanishing correlators are for the following:in equation (26) are shown as functions of τ, where  is chosen to be one Rabi period. The colour legend is read in the same way as in figure 3, but with dK and dM, representing any two types of records. The values of correlators here are used for the analysis in table 1. Time τ is presented in units of the Rabi period T Ω =2π/Ω. Therefore, we instead focus on a parameter-independent feature, which is the vanishing or non-vanishing property of the correlators. Some correlators, such as, are zero regardless of the values of  and τ. Those that do not vanish identically are non-zero for almost all values of  and τ.In order to predict the power of quantum state smoothing offered by different measurement unravelling combinations, we propose the following principles. Firstly, the stronger the correlation, the better the smoothing power. We quantify ...

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Observation of Three-Body Correlations for Photons Coupled to a Rydberg Superatom

Cited by 47 publications

References 41 publications

Nonexponential decay of a collective excitation in an atomic ensemble coupled to a one-dimensional waveguide

Nonexponential decay of a collective excitation in an atomic ensemble coupled to a one-dimensional waveguide

Exploring universal and nonuniversal regimes of trimers from three-body interactions in one-dimensional lattices

Quantum state smoothing: why the types of observed and unobserved measurements matter

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