Download or read book Machine Learning and Monte Carlo Studies of Strongly Correlated Systems written by Michael Floyd Matty and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: One, if not the, major difficulty encountered in the theoretical study of many-bodyquantum systems is the exponential growth of the Hilbert space with increasing degrees of freedom. In strongly correlated systems, non-perturbative interaction effects can exacerbate this difficulty by preventing the mapping of the theory to a single-particle problem. A multitude of theoretical techniques have thus emerged with the goal of understanding and predicting the exotic behavior of strongly cor- related systems. Among them are Monte Carlo simulation and, more recently, machine learning. In this dissertation, we use and develop Monte Carlo and ma- chine learning methods with the aim of learning new physics in strongly correlated systems. In the first part we apply machine learning to data obtained from simulations of strongly correlated systems. The identification of phases and characterization of their universal properties is a ubiquitous aspect of research in condensed matter physics. One can view phase identification as a classification problem in which one uses some function to map data to a phase label. However, complications such as competing interactions, disorder, and topological order, can render commonly used functions such as local order parameters ineffective. Here, we use a supervised machine learning model to represent the function that maps data to a phase label. In particular we study the phase diagram of a disordered fractional quantum Hall system with competing interactions. In addition to this phase classification prob- lem, we also consider the question of whether a given quantum many-body wave function could even be the ground state of some local Hamiltonian. To this end we introduce Entanglement Clustering, which uses unsupervised machine learning to study unconverged, noisy Monte Carlo swap operator samples from wave functions. In the second part we apply machine learning to data obtained from exper- iments. One can view many experimental techniques as forward processes that take some experimental probe, let it interact with a sample, and produce an out- put dataset. The goal of the analysis of the output dataset is often to recover some information about the interaction of the probe with the sample such as an order parameter type or electrostatic potential. One way to do this is to attempt to find an inverse function that maps the dataset back to the desired information. Traditional solutions to such "inverse problems" often rely on the existence of a forward model. However, motivated by cases where there is no invertable and/or efficient forward model, we try instead to represent the inverse function as an ML model. With this guiding philosophy, we have been able to gain new insights into complex materials using data from resonant ultrasound spectroscopy experiments. In the third part, we approach the melting of generalized Wigner crystals by considering the strong coupling limit of a transition metal dichalcogenide (TMD) moiré system at varying densities using Monte Carlo simulations with a new cluster update algorithm. We are motivated by recent experiments in a narrow-band TMD heterobilayer moiré system that found signatures of incompressible charge ordered states at fractional fillings of the moiré lattice that one can understand as generalized Wigner crystals. We predict the generalized Wigner crystal at 1/3 filling to melt into the compressible hexagonal domain wall state upon increasing filling. Moreover, we find two distinct stripe solid states at fillings 2/5 and 1/2 to be each preceded by distinct types of nematic states.

Download or read book Quantum Monte Carlo Approaches for Correlated Systems written by Federico Becca and published by Cambridge University Press. This book was released on 2017-11-30 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to state-of-the-art quantum Monte Carlo techniques for applications in strongly-interacting systems. Including variational wave functions, stochastic samplings, the variational technique, optimisation techniques, real-time dynamics and projection methods and recent developments on the continuum space. An extensive resource for students and researchers.

Download or read book Quantum Monte Carlo Studies of Strongly Correlated Systems written by Stefan Weßel and published by . This book was released on 2005 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quantum Monte Carlo Studies of Novel Phases in Strongly Correlated Systems written by Zi Yang Meng and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quantum Monte Carlo Studies of Strongly Correlated Systems for Quantum Simulators written by Stephan Humeniuk and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Strongly Correlated Systems Approach Through Quantum Monte Carlo written by and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Some Aspects of Strongly Correlated Electronic Systems written by Hiroyuki Shiba and published by . This book was released on 1988 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Strongly Correlated Multi Orbital Systems written by Nicolaus Parragh and published by . This book was released on 2013 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Neural Network Simulation of Strongly Correlated Quantum Systems written by Stefanie Czischek and published by Springer Nature. This book was released on 2020-08-27 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum systems with many degrees of freedom are inherently difficult to describe and simulate quantitatively. The space of possible states is, in general, exponentially large in the number of degrees of freedom such as the number of particles it contains. Standard digital high-performance computing is generally too weak to capture all the necessary details, such that alternative quantum simulation devices have been proposed as a solution. Artificial neural networks, with their high non-local connectivity between the neuron degrees of freedom, may soon gain importance in simulating static and dynamical behavior of quantum systems. Particularly promising candidates are neuromorphic realizations based on analog electronic circuits which are being developed to capture, e.g., the functioning of biologically relevant networks. In turn, such neuromorphic systems may be used to measure and control real quantum many-body systems online. This thesis lays an important foundation for the realization of quantum simulations by means of neuromorphic hardware, for using quantum physics as an input to classical neural nets and, in turn, for using network results to be fed back to quantum systems. The necessary foundations on both sides, quantum physics and artificial neural networks, are described, providing a valuable reference for researchers from these different communities who need to understand the foundations of both.

Download or read book Der Romischen Kaiserlichen Maiestat Declaration Confirmation Beuelch vnnd Mandat Auff hieuor wider Marggraf Albrechten von Brandenburg den J ngern am Kaiserlichem Camergericht ergangne Achterclerung An die Churf rsten F rsten vnnd Stende des Heiligen Reichs In sonderheit die zu der Execution Verordnete Krai Zu Br ssel in Brabandt den achtzehe n den tag Maij im 1554 Jar au gangen written by Karl V. (Römisch-Deutsches Reich, Kaiser) and published by . This book was released on 1554 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theoretical Methods for Strongly Correlated Electrons written by David Sénéchal and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.

Download or read book A Guide to Monte Carlo Simulations in Statistical Physics written by David Landau and published by Cambridge University Press. This book was released on 2021-07-29 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. The 5th edition contains extensive new material describing numerous powerful algorithms and methods that represent recent developments in the field. New topics such as active matter and machine learning are also introduced. Throughout, there are many applications, examples, recipes, case studies, and exercises to help the reader fully comprehend the material. This book is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.

Download or read book The Quantum Monte Carlo Studies on Highly Correlated System written by Ho Kin Tang and published by . This book was released on 2012 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: In chapter 4, we study possible spin liquid. The Hubbard model on an anisotropic triangular lattice called t - t1 - TH model has been proposed to possess a non-magnetic insulating(spin liquid) state, induced by geometrical frustration. The effect of filling and degree of frustration on magnetic property is investigated by CPMC in the studies.

Download or read book Emergent Phenomena in Correlated Matter written by Eva Pavarini and published by Forschungszentrum Jülich. This book was released on 2013 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Monte Carlo Simulation in Statistical Physics written by Kurt Binder and published by Springer. This book was released on 2019-04-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth edition of this highly successful textbook provides a detailed introduction to Monte Carlo simulation in statistical physics, which deals with the computer simulation of many-body systems in condensed matter physics and related fields of physics and beyond (traffic flows, stock market fluctuations, etc.). Using random numbers generated by a computer, these powerful simulation methods calculate probability distributions, making it possible to estimate the thermodynamic properties of various systems. The book describes the theoretical background of these methods, enabling newcomers to perform such simulations and to analyse their results. It features a modular structure, with two chapters providing a basic pedagogic introduction plus exercises suitable for university courses; the remaining chapters cover major recent developments in the field. This edition has been updated with two new chapters dealing with recently developed powerful special algorithms and with finite size scaling tools for the study of interfacial phenomena, which are important for nanoscience. Previous editions have been highly praised and widely used by both students and advanced researchers.

Download or read book Monte Carlo Methods in Statistical Physics written by Kurt Binder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the seven years since this volume first appeared. there has been an enormous expansion of the range of problems to which Monte Carlo computer simulation methods have been applied. This fact has already led to the addition of a companion volume ("Applications of the Monte Carlo Method in Statistical Physics", Topics in Current Physics. Vol . 36), edited in 1984, to this book. But the field continues to develop further; rapid progress is being made with respect to the implementation of Monte Carlo algorithms, the construction of special-purpose computers dedicated to exe cute Monte Carlo programs, and new methods to analyze the "data" generated by these programs. Brief descriptions of these and other developments, together with numerous addi tional references, are included in a new chapter , "Recent Trends in Monte Carlo Simulations" , which has been written for this second edition. Typographical correc tions have been made and fuller references given where appropriate, but otherwise the layout and contents of the other chapters are left unchanged. Thus this book, together with its companion volume mentioned above, gives a fairly complete and up to-date review of the field. It is hoped that the reduced price of this paperback edition will make it accessible to a wide range of scientists and students in the fields to which it is relevant: theoretical phYSics and physical chemistry , con densed-matter physics and materials science, computational physics and applied mathematics, etc.

Download or read book Quantum Information and Quantum Computing for Chemical Systems written by Sabre Kais and published by Frontiers Media SA. This book was released on 2021-10-20 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: