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III. Ecosmos: A Revolutionary Fertile, Habitable, Solar-Bioplanet, Incubator Lifescape

1. Quantum Organics in the 21st Century

Engelhardt, G., et al. Photon-resolved Floquet theory in open quantum systems. arXiv:2311.01509. We record this typical entry out of a hundred each day on the arXiv.com site as one 2020s instance of this open territory being explored, settled and advantaged. Here Shenzhen Institute for Quantum Science and Engineering, Zhejiang University of Science and Technology, NTT Research, Sunnyvale, CA, MIT and Instituto de Ciencia de Materiales de Madrid, surely a global collaboration via instant communication and advance, describe a mathematical finesse amenable to their activities

Photon-resolved Floquet theory keeps track of the photon exchange of a quantum system with a coherent driving field. In this paper, we introduce a unifying methods for an analytical evaluation of low-order cumulants of photonic probability distributions. We find that the photon-flux fluctuations diverge can be related to an entanglement effect between the driven matter system and the driving field. As the framework is non-perturbative, it enhances spectroscopy and metrological views. (Excerpt)

Espinos, Hilario, et al. Invariant-based control of quantum many-body systems across critical points. arXiv:2309.05469.. arXiv:2309.05469. We post this technical paper by nine Universidad Carlos III de Madrid, Spain and Bar-Ilan University, Israel physicists as an example of the breadth and depth of our whole scale Earthuman quantum quantification as a task that we peoples are made and meant to carry forth. Into late 2023 in the midst of warfare, however might it dawn that these awesome findings quite imply an independent, phenomenal reality. In this regard, our collective abilities could well be a vital phase of self-representation and affirmative record.

Quantum many-body systems are emerging as key elements in the quest for quantum-based technologies and the study of fundamental physics. In this context, finding control protocols that allow for fast and high fidelity evolutions across quantum phase transitions is of particular interest. Here we design an invariant-based control technique that ensures adiabatic-like evolution and is able to tune the key parameters. We illustrate our findings by means of detailed numerical simulations in the transverse-field Ising and demonstrate the robustness against noisy controls and disorder. (Excerpt)

Faccin, Mauro, et al. Community Detection in Quantum Networks. arXiv:1310.6638. Theorists from Torino, Barcelona, and Oxford including Jacob Biamonte, continue the reinvention and integration of these depths by way of macro complex systems theories. From many aspects, over the past years, by picking up on information qualities, such subatomic activities are found to contain the same nonlinear forms and dynamics as everywhere else, the nested cosmos becomes one whole again. Mauro Faccin and others are planning a Quantum Frontiers in Network Science symposia at the large NetSci conference in June 2014 at UC Berkeley (Google). See also Degree Distribution in Quantum Walks on Complex Networks by Faccin, et al, at arXiv:1305.6078.

Determining the community structure is a central topic in the study of complex networks, be it technological, social, biological or chemical, static or interacting systems. In this paper, we extend the concept of community detection from classical to quantum systems --- a crucial missing component of a theory of complex networks based on quantum mechanics. By merging concepts from quantum physics and complex network theory, our work provides a bidirectional bridge of relevant analysis tools to address networks in both disciplines. (Abstract excerpts) Extending the concept of community detection to apply to quantum systems is a crucial step towards the ultimate goal of creating a theory of networks that augments the current statistical mechanics approach to complex network structure, evolution, and process with a new theory based on quantum mechanics. (1)

A grand challenge in contemporary complex network science is to reconcile the staple “statistical mechanics based approach”, with a theory based on quantum physics. When considering networks where quantum coherence effects play a non-trivial role, the predictive power of complex network science has been shown to break down. A new theory is now being developed which is based on quantum theory, from first principles. Network theory is a diverse subject which developed independently in several disciplines to rely on graphs with additional structure to model complex systems. Network science has of course played a significant role in quantum theory, ranging from methods of “tensor network states”, “chiral quantum walks on complex networks”, “categorical tensor networks” and “categorical models of quantum circuits”, to name only a few. However, the ideas of complex network science are only now starting to be united with modern quantum theory. (Quantum Frontiers Abstract)

Falkenburg, Brigitte and Margaret Morrison. Why More is Different: Philosophical Issues in Condensed Matter Physics and Complex Systems. Berlin: Springer, 2015. This year Springer has published an independent number of works that in different ways call the 20th century version of a passive mechanical nature into question. Search Frontiers Collection and Aguirre here for more editions. As the infinities of atom and cosmos run their course, they are inadequate to explain a universe that spontaneously generates emergent life, mind and persons. Some additional force and agency must be at work to achieve this. A main chapter is On the Success and Limitations of Reductionism in Physics by Hildegard Meyer-Ortmanns, which closes with A Step Towards a Universal Theory of Complex Systems. On the Relation Between the Second Law of Thermodynamics and Classical and Quantum Mechanics by Barbara Drossel follows next. In Why Is More Different the University of Toronto philosopher Margaret Morrison considers phase transitions, universality, emergence and renormalization groups. These several works realize that a radical correction in necessary, as they try to figure out how to get on with this. And it is hopeful that an increasing number of women are taking a lead role.

Farrow, Tristan, et al. A Measurable Physical Theory of Hyper-Correlcation beyond Quantum Mechanics. Physica Scripta. 96/1, 2021. We cite this entry by National University of Singapore, Oxford University and Sogang University, Seoul physicists including Vlatko Vedral as an example of what these theoretical conceptions seem to be coming upon. Their latest implications suggest that a deeper realm of phenomenal reality exists which is necessary to attain a full explanation. See also Spacetime as a Tightly Bound Quantum Crystal by V. Vedral at arXiv:2009.10836. and his Frontiers of Quantum Physics group website at oxfordquantum.web.ox.ac.uk.

A characteristic of quantum mechanics is entanglement of correlations between particles irrespective of their locations. This property, called non-locality, has no classical analogue. Over the past few years, quantum physicists have reached a consensus that we lack a physical theory to account for a class of states whose non-local character exceeds the bounds allowed by quantum mechanics. We propose an extension of the Schrödinger equation with non-linear terms so to relax Born's rule, an axiom of quantum mechanics, that accounts for such hyper-correlated states. (Abstract excerpt)

Physicists postulate the existence of a physical law that goes beyond quantum mechanics, which could lead to a modification of certain axioms underpinning quantum theory. The discovery of quantum mechanics at the dawn of the twentieth century led to major breakthroughs, from nuclear physics, microelectronics to quantum computing, which, by contrast to Newtonian physics, became known as modern physics. Quantum mechanics gives the most accurate description of microscopic objects like atoms and molecules. (1)

Giannozzi, Paolo, et al. Quantum ESPRESSO toward the Exascale. Journal of Chemical Physics. 152/154105, 2020. We cite this entry by fifteen European Union physicists as a current example of how this once intractable, basic domain is now readily being availed for all manner of material, computational, linguistic and practical advantages. This project noted below began in 2002, and is here reviewed “at the turn of the twenties.”

Quantum ESPRESSO is an open-source distribution of computer codes for quantum-mechanical materials modeling based on density-functional theory, pseudopotentials, and plane waves, and renowned for its performance on a wide range of hardware. In this paper, we present a review of the ongoing effort to port Quantum ESPRESSO onto heterogeneous architectures based on hardware accelerators, which will overcome the energy constraints that are currently slowing exascale computing. (Abstract)

Quantum ESPRESSO Foundation: QEF is the home of this project for materials modeling at the nanoscale. We pledge ourselves to an open vision of science and software engineering. We foster the design, development, maintenance, and distribution of high-quality open-source software for the quantum simulation of matter, and we are committed to the dissemination of the art and science of scientific computing, by promoting training courses worldwide.

Gogolin, Christian and Jens Eisert. Equilibration, Thermalisation, and the Emergence of Statistical Mechanics in Closed Quantum Systems. Reports on Progress in Physics. 79/5, 2016. Free University of Berlin, Dahlem Center for Complex Quantum Systems (Google), researchers contribute to a 2010s reconception of quantum phenomena by which this realm and a macro-classic phase become increasingly intertwined and unified.

We review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics. We cover topics such as equilibration and thermalisation in pure state statistical mechanics, the eigenstate thermalisation hypothesis, the equivalence of ensembles, non-equilibration dynamics following global and local quenches as well as ramps. We also address initial state independence, absence of thermalisation, and many-body localisation. We elucidate the role played by key concepts for these phenomena, such as Lieb–Robinson bounds, entanglement growth, typicality arguments, quantum maximum entropy principles and the generalised Gibbs ensembles, and quantum (non-) integrability. We put emphasis on rigorous approaches and present the most important results in a unified language. (Abstract)

Goncalves, Carlos. Quantum Cybernetics and Complex Quantum Systems Science - A Quantum Connectionist Exploration. arXiv:1402.1141. A University of Lisbon physicist joins the worldwide 2010s whole scale reimagination of this foundational realm, as every other realm has done, by way of lively nonlinear dynamics. This paper attends more to artificial neural networks, while a later issue, Financial Market Modeling with Quantum Neural Networks at arXiv:1508.06586 goes on to similarities in economic phenomena.

Quantum cybernetics and its connections to complex quantum systems science is addressed from the perspective of complex quantum computing systems. In this way, the notion of an autonomous quantum computing system is introduced in regards to quantum artificial intelligence, and applied to quantum artificial neural networks, considered as autonomous quantum computing systems, which leads to a quantum connectionist framework within quantum cybernetics for complex quantum computing systems. Several examples of quantum feedforward neural networks are addressed in regards to Boolean functions' computation, multilayer quantum computation dynamics, entanglement and quantum complementarity. The examples provide a framework for a reflection on the role of quantum artificial neural networks as a general framework for addressing complex quantum systems that perform network-based quantum computation, possible consequences are drawn regarding quantum technologies, as well as fundamental research in complex quantum systems science and quantum biology. (1402.1141 Abstract)

Econophysics has developed as a research field that applies the formalism of Statistical Mechanics and Quantum Mechanics to address Economics and Finance problems. The branch of Econophysics that applies of Quantum Theory to Economics and Finance is called Quantum Econophysics. In Finance, Quantum Econophysics' contributions have ranged from option pricing to market dynamics modeling, behavioral finance and applications of Game Theory, integrating the empirical finding, from human decision analysis, that shows that nonlinear update rules in probabilities, leading to non-additive decision weights, can be computationally approached from quantum computation, with resulting quantum interference terms explaining the non-additive probabilities. The current work draws on these results to introduce new tools from Quantum Artificial Intelligence, namely Quantum Artificial Neural Networks as a way to build and simulate financial market models with adaptive selection of trading rules, leading to turbulence and excess kurtosis in the returns distributions for a wide range of parameters. (1508.06586 Abstract)

Heyl, Markus. Dynamical Quantum Phase Transitions. Reports on Progress in Physics. 81/5, 2018. We post this paper by a MPI Physics of Complex Systems theorist as an example, of not yet widely appreciated 21st century revisions amongst studies of this fundamental domain. While it retains an older strangeness, this deepest strata has become treatable as dynamic, nonlinear phenomena similar to everywhere else in macro-classical realms. All of which augurs for an imminent, seamless synthesis, for example see Probing Quantum Features of Photosynthetic Organisms at arXiv:1711.06485 (Krisnanda).

Quantum theory provides an extensive framework for the description of the equilibrium properties of quantum matter. Yet experiments in quantum simulators have now opened up a route towards the generation of quantum states beyond this equilibrium paradigm. While these states promise to show properties not constrained by equilibrium principles, such as the equal a priori probability of the microcanonical ensemble, identifying the general properties of nonequilibrium quantum dynamics remains a major challenge, especially in view of the lack of conventional concepts such as free energies. The theory of dynamical quantum phase transitions attempts to identify such general principles by lifting the concept of phase transitions to coherent quantum real-time evolution. This review provides a pedagogical introduction to this field. (Abstract)

Heylighen, Francis. Entanglement, Symmetry Breaking and Collapse: Correspondences between Quantum and Self-Organizing Dynamics. hecco.vub.ac.be/?q=node/21. This is a Working Paper by the ECCO Evolution, Complexity & Cognition Group director, based at the Free University of Brussels. A full edition is online at its website. In regard, it achieves a rare contrast of these two prime but heretofore unrelated scientific fields and approaches unto a dynamically creative natural genesis. As this merger unfolds, a need is to blend and clarify the different terms that each uses. Looking ahead, complex adaptive systems of interacting agents ought to find affinities with quantum arcana because each is really trying to describe the same phenomena. Although not specifically cited, a tendency for quantum systems to be in some indeterminate superposition state, which is neither one thing or its opposite (3) seems quite akin to complex self-organized criticalities.

Huang, Hsin-Yuan and Richard Kueng. Predicting Features of Quantum Systems using Classical Shadows. arXiv:1908.08909. We cite this paper by CalTech mathematical physicists as a 2019 example of how, while a mindset of intractable strangeness still holds, quantum phenomena has become widely treatable as and interchangeable with macro-matter dynamic complexities.

Predicting features of complex, large-scale quantum systems is essential to the characterization and engineering of quantum architectures. We present an efficient approach for predicting a large number of linear features using classical shadows obtained from very few quantum measurements. This sampling rate is completely independent of the system size and saturates fundamental lower bounds from information theory. These highlight advantages compared to existing machine learning approaches. (Abstract excerpt)

Ijjas, Anna and Paul Steinhardt. A New Kind of Cyclic Universe. arXiv:1904.08022. The Harvard and Princeton astrophysicist team continues their theoretical finesse of a spatial and temporal series of cosmoses which seems to occur without original inflationary events. We also note as an example of how clever, collaborative human persons on a minute bioworld can be able to altogether quantify and consider entire universes. See later postings at 2006.04999 and 2006.01172 which merited a Quanta report Big Bounce Simulations Challenge the Big Bang by Charles Wood. (August 4, 2020). See an update Entropy, Black Holes and the New Cyclic Universe at 2108.07101. Anna Ijjas is now at the MPI for Gravitational Physics.

Combining intervals of ekpyrotic (ultra-slow) contraction with a (non-singular) classical bounce naturally leads to a novel cyclic theory of the universe in which the Hubble parameter, energy density and temperature oscillate periodically, but the scale factor grows by an exponential factor from one cycle to the next. The resulting cosmology not only resolves the homogeneity, isotropy, flatness and monopole problems and generates a nearly scale invariant spectrum of density perturbations, but it also addresses a number of age-old cosmological issues that big bang inflationary cosmology does not. There may also be wider-ranging implications for fundamental physics, black holes and quantum measurement. (Abstract)

First, the new cyclic theory resolves the homogeneity, isotropy, flatness, and monopole problems and generates a nearly scale-invariant spectrum of primordial adiabatic, gaussian density fluctuations without requiring special initial conditions or triggering the kind of quantum runaway that leads to the multiverse effect. Second, the density perturbations are generated without producing a primordial spectrum of tensor fluctuations, a combination that is in agreement with current observations. Third, the evolution of the universe is described to leading order by classical equations of motion at every stage. (1)

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