Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations

Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations PDF Author: Yuto Ashida
Publisher: Springer Nature
ISBN: 9811525803
Category : Science
Languages : en
Pages : 243

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Book Description
This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.

Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations

Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations PDF Author: Yuto Ashida
Publisher: Springer Nature
ISBN: 9811525803
Category : Science
Languages : en
Pages : 243

Get Book Here

Book Description
This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.

Quantum Information Meets Quantum Matter

Quantum Information Meets Quantum Matter PDF Author: Bei Zeng
Publisher: Springer
ISBN: 1493990845
Category : Computers
Languages : en
Pages : 372

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Book Description
This book approaches condensed matter physics from the perspective of quantum information science, focusing on systems with strong interaction and unconventional order for which the usual condensed matter methods like the Landau paradigm or the free fermion framework break down. Concepts and tools in quantum information science such as entanglement, quantum circuits, and the tensor network representation prove to be highly useful in studying such systems. The goal of this book is to introduce these techniques and show how they lead to a new systematic way of characterizing and classifying quantum phases in condensed matter systems. The first part of the book introduces some basic concepts in quantum information theory which are then used to study the central topic explained in Part II: local Hamiltonians and their ground states. Part III focuses on one of the major new phenomena in strongly interacting systems, the topological order, and shows how it can essentially be defined and characterized in terms of entanglement. Part IV shows that the key entanglement structure of topological states can be captured using the tensor network representation, which provides a powerful tool in the classification of quantum phases. Finally, Part V discusses the exciting prospect at the intersection of quantum information and condensed matter physics – the unification of information and matter. Intended for graduate students and researchers in condensed matter physics, quantum information science and related fields, the book is self-contained and no prior knowledge of these topics is assumed.

Strongly Correlated Systems, Coherence And Entanglement

Strongly Correlated Systems, Coherence And Entanglement PDF Author: J M P Carmelo
Publisher: World Scientific
ISBN: 9814475831
Category : Technology & Engineering
Languages : en
Pages : 612

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Book Description
This volume presents a collection of review papers on recent work in the connected areas of strongly correlated systems, the effects of coherence on macroscopic systems, and entanglement in quantum systems. These areas have attracted considerable interest due to their complexity and associated unexpected nontrivial phenomena, and also due to their potential applications in various fields, from materials science to information technology. The coverage includes strongly correlated electronic systems such as low-dimensional complex materials, ordered and disordered spin systems, and aspects of the physics of manganites and graphene, both in equilibrium and far from equilibrium.

Entanglement Between Noncomplementary Parts of Many-Body Systems

Entanglement Between Noncomplementary Parts of Many-Body Systems PDF Author: Hannu Christian Wichterich
Publisher: Springer Science & Business Media
ISBN: 3642193420
Category : Science
Languages : en
Pages : 121

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Book Description
This thesis investigates the structure and behaviour of entanglement, the purely quantum mechanical part of correlations, in many-body systems, employing both numerical and analytical techniques at the interface of condensed matter theory and quantum information theory. Entanglement can be seen as a precious resource which, for example, enables the noiseless and instant transmission of quantum information, provided the communicating parties share a sufficient "amount" of it. Furthermore, measures of entanglement of a quantum mechanical state are perceived as useful probes of collective properties of many-body systems. For instance, certain measures are capable of detecting and classifying ground-state phases and, particularly, transition (or critical) points separating such phases. Chapters 2 and 3 focus on entanglement in many-body systems and its use as a potential resource for communication protocols. They address the questions of how a substantial amount of entanglement can be established between distant subsystems, and how efficiently this entanglement could be "harvested" by way of measurements. The subsequent chapters 4 and 5 are devoted to universality of entanglement between large collections of particles undergoing a quantum phase transition, where, despite the enormous complexity of these systems, collective properties including entanglement no longer depend crucially on the microscopic details.

Neural-Network Simulation of Strongly Correlated Quantum Systems

Neural-Network Simulation of Strongly Correlated Quantum Systems PDF Author: Stefanie Czischek
Publisher: Springer Nature
ISBN: 3030527158
Category : Science
Languages : en
Pages : 212

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Book Description
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.

Condensed Matter Theories

Condensed Matter Theories PDF Author: Feodor V. Kusmartsev
Publisher: World Scientific
ISBN: 9814289159
Category : Science
Languages : en
Pages : 645

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Book Description
Pt. A. Statistical mechanics, magnetism, quantum and nonlinear dynamics. The groundstates and phases of the two-dimensional fully frustrated XY model / P. Minnhagen, S. Bernhardsson and B.J. Kim. 2D Ising model with competing interactions and its application to clusters and arrays of [symbol]-rings, graphene and adiabatic quantum computing / A. O'Hare, F.V. Kusmartsev and K.I. Kugel. Concerning the equation of state for a partially ionized system / G.A. Baker Jr. Quasiclassical Fourier path integral quantum correction terms to the kinetic energy of interacting quantum many-body systems / K.A. Gernoth. Ergodicity and chaos in a system of harmonic oscillators / M.H. Lee. Chaotic modes in scale free opinion networks / F.V. Kusmartsev and K.E. Kürten. Astroid curves for a synthetic antiferromagnetic stack in an applied magnetic field / D.M. Forrester [und weitere]. Entanglement properties of quantum many-body wave functions / J.W. Clark [und weitere] -- pt. B. Fermi and Bose fluids. Topological phase transitions in strongly correlated Fermi systems / J.W. Clark, V.A. Khodel and M.V. Zverev. Deconfinement and quantum liquid crystalline states of dipolar fermions in optical lattices / S.T. Carr, J. Quintanilla and J.J. Betouras. On the "generalized Slater" approximation / J. Messud [und weitere]. Fluid helium-4 in thermal equilibrium / K.A. Gernoth and M.L. Ristig. Microscopic approach in the description of slowing of electromagnetic pulses in BEC of alkalis / Y. Slyusarenko and A. Sotnikov. Anomalous behavior of ideal Fermi gas below 2D : The "ideal quantum dot" and the Paul exclusion principle / M. Grether, M. de Llano and M.H. Lee -- pt. C. Transport theory. On the quantum Hall effect in graphene / S. Fujita [und weitere]. Modelling charge transport in DNA using transfer matrices with diagonal terms / S.A. Wells, C.-T. Shih and R.A. Römer. Similarities between embolic stroke and percolation problems / J.P. Hague. Extraordinary magnetoresistance in hybrid semiconductor-metal systems / T.H. Hewett and F.V. Kusmartsev. Topological aspects of the specific heat / C.M. Sarris and A.N. Proto. Effects of electron-electron interactions in two dimensions / S.V. Kravchenko

Manipulating Quantum Systems

Manipulating Quantum Systems PDF Author: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
ISBN: 0309499542
Category : Science
Languages : en
Pages : 315

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Book Description
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.

Characterizing Entanglement and Quantum Correlations Constrained by Symmetry

Characterizing Entanglement and Quantum Correlations Constrained by Symmetry PDF Author: Jordi Tura i Brugués
Publisher: Springer
ISBN: 3319495712
Category : Science
Languages : en
Pages : 254

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Book Description
This thesis focuses on the study and characterization of entanglement and nonlocal correlations constrained under symmetries. It includes original results as well as detailed methods and explanations for a number of different threads of research: positive partial transpose (PPT) entanglement in the symmetric states; a novel, experimentally friendly method to detect nonlocal correlations in many-body systems; the non-equivalence between entanglement and nonlocality; and elemental monogamies of correlations. Entanglement and nonlocal correlations constitute two fundamental resources for quantum information processing, as they allow novel tasks that are otherwise impossible in a classical scenario. However, their elusive characterization is still a central problem in quantum information theory. The main reason why such a fundamental issue remains a formidable challenge lies in the exponential growth in complexity of the Hilbert space as well as the space of multipartite correlations. Physical systems of interest, on the other hand, display symmetries that can be exploited to reduce this complexity, opening the possibility that some of these questions become tractable for such systems.

Recent Progress in Many-body Theories

Recent Progress in Many-body Theories PDF Author: Jordi Boronat
Publisher: World Scientific
ISBN: 9812779884
Category : Science
Languages : en
Pages : 458

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Book Description
This volume contains the main contributions to the 14th International Conference on Recent Progress in Many-Body Theories (RPMBT14) held at the Technical University of Catalonia, Spain, in July 2007. This conference, which was first held in Trieste in 1979, is devoted to new developments in the field of many-body theories, which are being applied and developed in a rapidly growing number of fields. The emphasis is twofold: progress in the technical aspects of microscopic theories and a review of recent applications of many-body techniques. In addition to the more traditional topics, such as nuclear physics and quantum liquids, the present volume also includes the most recent results on atomic physics, cold Bose and Fermi gases, phase transitions and quantum information. Moreover, the volume contains the lectures of the winners of the 2007 Feenberg Medal and 2007 Kuemmel Award, as well as their laudatios.

Condensed Matter Theories, Volume 24 (With Cd-rom) - Proceedings Of The 32nd International Workshop

Condensed Matter Theories, Volume 24 (With Cd-rom) - Proceedings Of The 32nd International Workshop PDF Author: Feodor V Kusmartsev
Publisher: World Scientific
ISBN: 9814466506
Category : Science
Languages : en
Pages : 645

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Book Description
This unique volume presents the scientific achievements of outstanding scientists from different countries working in diverse areas of Condensed Matter Physics. Drawn from the 32nd International Workshop on Condensed Matter Theories held in Loughborough in August 2008, these 46 papers, while centered on the concepts and techniques of theoretical condensed matter physics, also address broad issues of common concern for all physicists. It is particularly relevant to theorists who apply advanced many-particle methods in other areas of physics.The primary topics covered in the paper contributions include: statistical mechanics, nonlinear dynamics, quantum Fermi and Bose liquids, boson condensates, strongly correlated electron systems, superconductivity and phase transitions. Among the specific questions addressed and discussed are modern theories of graphene, Quantum Hall Effect, models of social dynamics, which are based on the example of Obama-McCain election, extraordinary magnetoresistance, supercooled atomic gases, transitions between various magnetic states in different systems made from magnetic nanoparticles, order-disorder-order phase transitions in spin frustrated systems, embolic stroke and semifluxon dynamics in extended Josephson junctions. The book provides the latest updated information on modern Condensed Matter Theories and the methods used. The many recent developments in the field such as the discovery of graphene or of new phenomena in supercooled gases or of an extraordinary magnetoresistance augur well for this timely publication. The main value of the book lies in the diversity of topics being covered comprehensively, which puts the book in a primary position in the modern market.