Locality And Complexity In Simulations Of Complex Quantum Systems
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Dynamics of Complex Quantum Systems
| Author | : Vladimir M. Akulin |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2016-09-17 |
| Genre | : Science |
| ISBN | : 9789401776233 |
This book gathers together a range of similar problems that can be encountered in different fields of modern quantum physics and that have common features with regard to multilevel quantum systems. The main motivation was to examine from a uniform standpoint various models and approaches that have been developed in atomic, molecular, condensed matter, chemical, laser and nuclear physics in various contexts. The book should help senior-level undergraduate, graduate students and researchers putting particular problems in these fields into a broader scientific context and thereby taking advantage of well-established techniques used in adjacent fields. This second edition has been expanded to include substantial new material (e.g. new sections on Dynamic Localization and on Euclidean Random Matrices and new chapters on Entanglement, Open Quantum Systems, and Coherence Protection). It is based on the author’s lectures at the Moscow Institute of Physics and Technology, at the CNRS Aimé Cotton Laboratory, and on other courses he has given over the last two decades.
Local Activity Principle: The Cause Of Complexity And Symmetry Breaking
| Author | : Klaus Mainzer |
| Publisher | : World Scientific |
| Total Pages | : 456 |
| Release | : 2013-03-15 |
| Genre | : Mathematics |
| ISBN | : 1908977116 |
The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction-diffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos./a
Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations
| Author | : A.T. Skjeltorp |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 238 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9401004196 |
Many mesoscopic systems display `adaptive' behaviour - changes in some physical property that results from a small change in an internal or external driving force. There is a kind of progression in adaptive phenomena, from quantum mesoscopics to complex, evolved cooperative systems and large scale events like turbulence. The field of mesoscopic magnetism, especially quantum coherence and quantum tunnelling in spin systems, and the coupling between mesoscopic magnetism and mesoscopic transport is currently a very active area of solid state physics. `Dephasing' is an important concept in mesoscopic systems like these. A basic question is the limit at which quantum mechanics breaks down and what it can be replaced with. Another interesting crossover is that between complexity and large excursions or events, with turbulence as a prototype example. The book also contains a discussion of finance. Qualitatively speaking, turbulence and financial markets are apparently similar, so our understanding of turbulence may be relevant to understanding price fluctuations.
Three Lectures on Complexity and Black Holes
| Author | : Leonard Susskind |
| Publisher | : Springer Nature |
| Total Pages | : 93 |
| Release | : 2020-05-11 |
| Genre | : Science |
| ISBN | : 3030451097 |
These three lectures cover a certain aspect of complexity and black holes, namely the relation to the second law of thermodynamics. The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, and the second law of complexity. Lecture two reviews the connection between the second law of complexity and the interior of black holes. Prof. L. Susskind discusses how firewalls are related to periods of non-increasing complexity which typically only occur after an exponentially long time. The final lecture is about the thermodynamics of complexity, and “uncomplexity” as a resource for doing computational work. The author explains the remarkable power of “one clean qubit,” in both computational terms and in space-time terms. This book is intended for graduate students and researchers who want to take the first steps towards the mysteries of black holes and their complexity.
Local Activity Principle
| Author | : Klaus Mainzer |
| Publisher | : World Scientific |
| Total Pages | : 456 |
| Release | : 2013 |
| Genre | : Mathematics |
| ISBN | : 1908977108 |
The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reactionOCodiffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos.
Generative AI: Quantum Computing Methods
| Author | : N.B. Singh |
| Publisher | : N.B. Singh |
| Total Pages | : 659 |
| Release | : |
| Genre | : Computers |
| ISBN | : |
Generative AI: Quantum Computing Methods explores the innovative convergence of generative artificial intelligence and quantum computing. This book provides a comprehensive overview of how quantum computing techniques can enhance generative models in AI, offering insights into their applications and potential impacts across various domains. With a focus on bridging theoretical foundations and practical implementations, it serves as a vital resource for researchers and practitioners eager to understand and leverage the transformative possibilities at the intersection of these cutting-edge technologies.
ISCS 2014: Interdisciplinary Symposium on Complex Systems
| Author | : Ali Sanayei |
| Publisher | : Springer |
| Total Pages | : 362 |
| Release | : 2014-08-28 |
| Genre | : Technology & Engineering |
| ISBN | : 3319107593 |
The book you hold in your hands is the outcome of the “2014 Interdisciplinary Symposium on Complex Systems” held in the historical city of Florence. The book consists of 37 chapters from 4 areas of Physical Modeling of Complex Systems, Evolutionary Computations, Complex Biological Systems and Complex Networks. All 4 parts contain contributions that give interesting point of view on complexity in different areas in science and technology. The book starts with a comprehensive overview and classification of complexity problems entitled Physics in the world of ideas: Complexity as Energy” , followed by chapters about complexity measures and physical principles, its observation, modeling and its applications, to solving various problems including real-life applications. Further chapters contain recent research about evolution, randomness and complexity, as well as complexity in biological systems and complex networks. All selected papers represent innovative ideas, philosophical overviews and state-of-the-art discussions on aspects of complexity. The book will be useful as an instructional material for senior undergraduate and entry-level graduate students in computer science, physics, applied mathematics and engineering-type work in the area of complexity. The book will also be valuable as a resource of knowledge for practitioners who want to apply complexity to solve real-life problems in their own challenging applications.
Sketches of Physics
| Author | : Roberta Citro |
| Publisher | : Springer Nature |
| Total Pages | : 284 |
| Release | : 2023-10-16 |
| Genre | : Science |
| ISBN | : 3031324692 |
This book is a journey through the wonders of physics, the special thousandth volume of the renowned Lecture Notes in Physics book series. From quantum physics to solar physics, this volume showcases the beauty of physics in various fields. Written by series editors and colleagues, these essays are accessible to non-specialists and graduate-level students alike, making for an intriguing read for anyone interested in learning about physics beyond their own field of study. Explore the historical development of the series with two insightful forewords. List of essays: A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium Evaluation and Utility of Wilsonian Naturalness The Geometric Phase: Consequences in Classical and Quantum Physics The Coming Decades of Quantum Simulation Insights into Complex Functions Exploring the Hottest Atmosphere with the Parker Solar Probe A Primer on the Riemann Hypothesis
