Hydrodynamic Stabilization of Self-Organized Criticality in a Driven Rydberg Gas.

Signatures of self-organized criticality (SOC) have recently been observed in an ultracold atomic gas under continuous laser excitation to strongly interacting Rydberg states [S. Helmrich et al., Nature, 577, 481-486 (2020)]. This creates unique possibilities to study this intriguing dynamical phenomenon under controlled experimental conditions. Here we theoretically and experimentally examine the self-organizing dynamics of a driven ultracold gas and identify an unanticipated feedback mechanism originating from the interaction of the system with a thermal reservoir. Transport of particles from the flanks of the cloud toward the center compensates avalanche-induced atom loss. This mechanism sustains an extended critical region in the trap center for timescales much longer than the initial self-organization dynamics. The characteristic flattop density profile provides an additional experimental signature for SOC while simultaneously enabling studies of SOC under almost homogeneous conditions. We present a hydrodynamic description for the reorganization of the atom density, which very accurately describes the experimentally observed features on intermediate and long timescales, and which is applicable to both collisional hydrodynamic and chaotic ballistic regimes.

Epidemic growth and Griffiths effects on an emergent network of excited atoms.

Whether it be physical, biological or social processes, complex systems exhibit dynamics that are exceedingly difficult to understand or predict from underlying principles. Here we report a striking correspondence between the excitation dynamics of a laser driven gas of Rydberg atoms and the spreading of diseases, which in turn opens up a controllable platform for studying non-equilibrium dynamics on complex networks. The competition between facilitated excitation and spontaneous decay results in sub-exponential growth of the excitation number, which is empirically observed in real epidemics. Based on this we develop a quantitative microscopic susceptible-infected-susceptible model which links the growth and final excitation density to the dynamics of an emergent heterogeneous network and rare active region effects associated to an extended Griffiths phase. This provides physical insights into the nature of non-equilibrium criticality in driven many-body systems and the mechanisms leading to non-universal power-laws in the dynamics of complex systems.

Unitary and Nonunitary Quantum Cellular Automata with Rydberg Arrays.

We propose a physical realization of quantum cellular automata (QCA) using arrays of ultracold atoms excited to Rydberg states. The key ingredient is the use of programmable multifrequency couplings which generalize the Rydberg blockade and facilitation effects to a broader set of nonadditive, unitary and nonunitary (dissipative) conditional interactions. Focusing on a 1D array we define a set of elementary QCA rules that generate complex and varied quantum dynamical behavior. Finally, we demonstrate theoretically that Rydberg QCA is ideally suited for variational quantum optimization protocols and quantum state engineering by finding parameters that generate highly entangled states as the steady state of the quantum dynamics.

Publisher Correction: Signatures of self-organized criticality in an ultracold atomic gas.

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

Signatures of self-organized criticality in an ultracold atomic gas.

Self-organized criticality is an elegant explanation of how complex structures emerge and persist throughout nature1, and why such structures often exhibit similar scale-invariant properties2-9. Although self-organized criticality is sometimes captured by simple models that feature a critical point as an attractor for the dynamics10-15, the connection to real-world systems is exceptionally hard to test quantitatively16-21. Here we observe three key signatures of self-organized criticality in the dynamics of a driven-dissipative gas of ultracold potassium atoms: self-organization to a stationary state that is largely independent of the initial conditions; scale-invariance of the final density characterized by a unique scaling function; and large fluctuations of the number of excited atoms (avalanches) obeying a characteristic power-law distribution. This work establishes a well-controlled platform for investigating self-organization phenomena and non-equilibrium criticality, with experimental access to the underlying microscopic details of the system.

Realization of a Rydberg-Dressed Ramsey Interferometer and Electrometer.

We present the experimental realization and characterization of a Ramsey interferometer based on optically trapped ultracold potassium atoms, where one state is continuously coupled by an off-resonant laser field to a highly excited Rydberg state. We show that the observed interference signals can be used to precisely measure the Rydberg atom-light coupling strength as well as the population and coherence decay rates of the Rydberg-dressed states with subkilohertz accuracy and for Rydberg state fractions as small as one part in 10^{6}. We also demonstrate an application for measuring small, static electric fields with high sensitivity. This provides the means to combine the outstanding coherence properties of Ramsey interferometers based on atomic ground states with a controllable coupling to strongly interacting states, thus expanding the number of systems suitable for metrological applications and many-body physics studies.

Genetic dissection of estrogen receptor signaling in vivo.

The multiple actions of estrogen in mammalian physiology are brought about, on a molecular level, by several signaling pathways, and mediated by at least two receptors-estrogen receptor (ER) alpha and beta. Analysis of knock-out mice devoid of either or both receptor isoforms revealed the essential function of estrogen receptor alpha in female reproduction, as ERalpha deficiency leads to a complex endocrine phenotype, severe disturbances in several reproductive organs, and infertility. This reflects the many actions of estrogen in female reproductive endocrinology. To carry the understanding of estrogen action to a cellular resolution, modern genetic technologies can be employed, including artificial chromosome-based transgenesis and conditional gene targeting. The combination of these techniques yields mouse models that lack ERalpha in specific cell types of the body. Using cell-type-specific ERalpha mutants, it could be shown that ERa in neurons is essential for the luteinizing hormone (LH) surge that triggers ovulation. Studies using ERalpha and ERbeta-selective agonists reveal that ERalpha activation is sufficient to induce an ovulatory hormonal stimulus. Thus, genetic analysis and selective pharmacological tools can complement each other in the molecular and cellular dissection of hormone receptor function in vivo.

Genetic dissection of corticosteroid receptor function in mice.

Functional genomic technologies, including artificial chromosome-based transgenesis and conditional gene targeting, allowed us to generate mouse models harboring genes with loss-of-function mutations, gain-of-function mutations, spatially and/or temporally restricted mutations, tissue-specific mutations, and function-selective mutations. This kind of "allelic series" for corticosteroid receptors in mouse models provides a very useful resource for the molecular understanding of corticosteroid function in vivo. These models will also support the identification of steroid receptor target genes in order to define a steroid signaling cascade in molecular terms. They provide opportunities for the identification of compounds that regulate steroid receptors in a tissue-specific and function-selective manner. For example, selective glucocorticoid receptor modulators preventing receptor dimerization and DNA binding can be expected to reduce osteoporotic and/or diabetogenic side effects, but to display partial or full anti-inflammatory potential. Thus, these mouse models will help to evaluate distinct steroid receptor functions for therapeutic intervention.