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Classical And Quantum Dynamics In Condensed Phase Simulations: Proceedings Of The International School Of Physics

Classical And Quantum Dynamics In Condensed Phase Simulations: Proceedings Of The International School Of Physics
Author: Bruce J Berne
Publisher: World Scientific
Total Pages: 881
Release: 1998-06-17
Genre: Science
ISBN: 9814496057

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The school held at Villa Marigola, Lerici, Italy, in July 1997 was very much an educational experiment aimed not just at teaching a new generation of students the latest developments in computer simulation methods and theory, but also at bringing together researchers from the condensed matter computer simulation community, the biophysical chemistry community and the quantum dynamics community to confront the shared problem: the development of methods to treat the dynamics of quantum condensed phase systems.This volume collects the lectures delivered there. Due to the focus of the school, the contributions divide along natural lines into two broad groups: (1) the most sophisticated forms of the art of computer simulation, including biased phase space sampling schemes, methods which address the multiplicity of time scales in condensed phase problems, and static equilibrium methods for treating quantum systems; (2) the contributions on quantum dynamics, including methods for mixing quantum and classical dynamics in condensed phase simulations and methods capable of treating all degrees of freedom quantum-mechanically.


Solid State Quantum Information -- An Advanced Textbook: Quantum Aspect Of Many-body Systems

Solid State Quantum Information -- An Advanced Textbook: Quantum Aspect Of Many-body Systems
Author: Wonmin Son
Publisher: World Scientific
Total Pages: 211
Release: 2018-02-22
Genre: Science
ISBN: 1911299816

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This book on solid state physics has been written with an emphasis on recent developments in quantum many-body physics approaches. It starts by covering the classical theory of solids and electrons and describes how this classical model has failed. The authors then present the quantum mechanical model of electrons in a lattice and they also discuss the theory of conductivity. Extensive reviews on the topic are provided in a compact manner so that any non-specialist can follow from the beginning.The authors cover the system of magnetism in a similar way and various problems in magnetic materials are discussed. The book also discusses the Ising chain, the Heisenberg model, the Kondo effect and superconductivity, amongst other relevant topics.In the final chapter, the authors present some works related to contemporary research topics, such as quantum entanglement in many-body systems and quantum simulations. They also include a short review of some of the possible applications of solid state quantum information in biological systems.


Computational Physics

Computational Physics
Author: Philipp Scherer
Publisher: Springer Science & Business Media
Total Pages: 456
Release: 2013-07-17
Genre: Science
ISBN: 3319004018

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This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.


Quantum Simulation of Many-body Systems with Superconducting Qubits

Quantum Simulation of Many-body Systems with Superconducting Qubits
Author: Amir H. Karamlou
Publisher:
Total Pages: 0
Release: 2023
Genre:
ISBN:

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The study of interacting many-body quantum systems is central to the understanding of wide a range of physical phenomena in condensed-matter systems, quantum gravity, and quantum circuits. However, quantum systems are often hard to study analytically, and the classical computing resources required for simulating them scale exponentially with the size of the system. In this thesis, we discuss utilizing superconducting quantum circuits as a well-controlled quantum platform for probing the out-of-equilibrium dynamics and the properties of many-body quantum systems. We use a 3 x 3 array of superconducting transmon qubits to study the dynamics of a particle under the tight-binding model, and probe quantum information propagation by measuring out-of-time-ordered correlators (OTOCs). Using a 4 x 4 qubit array, we probe entanglement across the energy spectrum of a hard-core Bose-Hubbard lattice by extracting correlation lengths and entanglement entropy of superposition states generated in particular regions of the spectrum, from the band center to its edge. The results presented in this thesis are in close quantitative agreement with numerical simulations. The demonstrated level of experimental control and accuracy in extracting the system observables of interest is extensible to larger superconducting quantum simulators and will enable the exploration of larger, non-integrable systems where numerical simulations become intractable.


Analogue Quantum Simulation

Analogue Quantum Simulation
Author: Dominik Hangleiter
Publisher: Springer Nature
Total Pages: 153
Release: 2022-01-21
Genre: Science
ISBN: 3030872165

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This book presents fresh insights into analogue quantum simulation. It argues that these simulations are a new instrument of science. They require a bespoke philosophical analysis, sensitive to both the similarities to and the differences with conventional scientific practices such as analogical argument, experimentation, and classical simulation. The analysis situates the various forms of analogue quantum simulation on the methodological map of modern science. In doing so, it clarifies the functions that analogue quantum simulation serves in scientific practice. To this end, the authors introduce a number of important terminological distinctions. They establish that analogue quantum ‘computation' and ‘emulation' are distinct scientific practices and lead to distinct forms of scientific understanding. The authors also demonstrate the normative value of the computation vs. emulation distinction at both an epistemic and a pragmatic level. The volume features a range of detailed case studies focusing on: i) cold atom computation of many-body localisation and the Higgs mode; ii) photonic emulation of quantum effects in biological systems; and iii) emulation of Hawing radiation in dispersive optical media. Overall, readers will discover a normative framework to isolate and support the goals of scientists undertaking analogue quantum simulation and emulation. This framework will prove useful to both working scientists and philosophers of science interested in cutting-edge scientific practice.


Manipulating Quantum Systems

Manipulating Quantum Systems
Author: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
Total Pages: 315
Release: 2020-09-14
Genre: Science
ISBN: 0309499542

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The field of atomic, molecular, and optical (AMO) science underpins many technologies and continues to progress at an exciting pace for both scientific discoveries and technological innovations. AMO physics studies the fundamental building blocks of functioning matter to help advance the understanding of the universe. It is a foundational discipline within the physical sciences, relating to atoms and their constituents, to molecules, and to light at the quantum level. AMO physics combines fundamental research with practical application, coupling fundamental scientific discovery to rapidly evolving technological advances, innovation and commercialization. Due to the wide-reaching intellectual, societal, and economical impact of AMO, it is important to review recent advances and future opportunities in AMO physics. Manipulating Quantum Systems: An Assessment of Atomic, Molecular, and Optical Physics in the United States assesses opportunities in AMO science and technology over the coming decade. Key topics in this report include tools made of light; emerging phenomena from few- to many-body systems; the foundations of quantum information science and technologies; quantum dynamics in the time and frequency domains; precision and the nature of the universe, and the broader impact of AMO science.


Neural-Network Simulation of Strongly Correlated Quantum Systems

Neural-Network Simulation of Strongly Correlated Quantum Systems
Author: Stefanie Czischek
Publisher: Springer Nature
Total Pages: 205
Release: 2020-08-27
Genre: Science
ISBN: 3030527158

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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.


Quantum Simulators

Quantum Simulators
Author: T. Calarco
Publisher: IOS Press
Total Pages: 270
Release: 2018-05-02
Genre: Computers
ISBN: 1614998566

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The last century has been characterized by the development of information theory and the consequent transformative impact of new technologies on societies around the world. It seems likely that the tremendous progress in nanoscience – the ability to manipulate microscopic systems at the level of a single atom – and the emergence of quantum information science, will be the key components of the next revolution; that of the new quantum technologies. Indeed, the ability to manipulate and control quantum systems has already found a variety of potential applications, ranging from the development of molecular nanoscale machines which exploit quantum coherence for their functioning, to metrological schemes where quantum effects are used to enhance the accuracy of measurement and detection systems to achieve higher statistical precision than is possible using purely classical approaches. This book presents the proceedings of the Enrico Fermi Summer School on Quantum Simulators (Course 198) held in Varenna, Italy, 22-27 July 2016. Topics covered included: cold atoms in optical lattices; trapped ions; solid state implementations; quantum many-body physics; quantum photonics; hybrid quantum systems; and transport phenomena. The book will be of interest to all those whose work is connected to the rapidly growing field of quantum technologies.