Download or read book Entanglement and Thermalization Many Body Quantum Systems written by Philip Crowley and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Entanglement and Thermalization in Many Body Quantum Systems written by P. J. D. Crowley and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Many Body Physics in Open Systems Measurement and Strong Correlations written by Yuto Ashida and published by Springer Nature. This book was released on 2020-01-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Entanglement in Many Body Quantum Systems written by Arnau Riera Graells and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Universal Aspects of Entanglement in Quantum Many Body Systems written by Tsung-Cheng Lu and published by . This book was released on 2021 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most intriguing phenomena in quantum mechanics is the existence of entanglement, which measures quantum correlations without any classical analog. Entanglement not only plays a crucial role in the development of quantum technology, but also provides profound insights to the study of quantum many-body systems, a field that focuses on the physical properties of systems constituted of a macroscopic number of interacting quantum particles. This dissertation aims to characterize the universal properties of quantum many-body systems from their entanglement structure, and the content can be broadly divided into two parts. The first part focuses on the phenomena of quantum chaos and its breakdown due to the presence of an extensive number of conservation laws. Both systems in and out of equilibrium will be discussed from the aspect of entanglement. In the second part, motivated by the search of non-trivial quantum phases whose universal properties are governed by quantum mechanics despite at a finite (i.e. non-zero) temperature, we will characterize the entanglement structure of quantum systems described by Gibbs states at finite temperatures. In particular, we will discuss a novel entanglement-based diagnostic for non-trivial quantum phases that can survive thermal fluctuations. Such a study broadens the conventional scope of quantum phases that are only defined at zero temperature and may reveal insights into the development of quantum devices that are immune to thermal decoherence.
Download or read book Many body Entanglement in Gapped Quantum Systems written by Xie Chen (Ph. D.) and published by . This book was released on 2012 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entanglement is a special form of quantum correlation that exists among quantum particles and it has been realized that surprising things can happen when a large number of particles are entangled together. For example, topological orders emerge in condensed matter systems where the constituent 1023 particles are entangled in a nontrivial way; moreover, quantum computers, which can perform certain tasks significantly faster than classical computers, are made possible by the existence of entanglement among a large number of particles. However, a systematic understanding of entanglement in many-body systems is missing, leaving open the questions of what kinds of many-body entanglement exist, where to find them and what they can be used for. In this thesis, I present my work towards a more systematic understanding of many-body entanglement in systems where the particles interact with each other locally and the ground state of the system is separated from the excited states by a finite energy gap. Under such physically realistic locality and gap constraints, I am able to obtain more understanding concerning the efficient representation of many-body entangled states, the classification of such states according to their universal properties and the application of such states in quantum computation. More specifically, this thesis is focused on the tensor network representation of many-body entangled states and studies how the tensors in the representation reflect the universal properties of the states. An algorithm is presented to extract the universal properties from the tensors and certain symmetry constraints are found necessary for the tensors to represent states with nontrivial topological order. Classification of gapped quantum states is then carried out based on this representation. An operational procedure relating states with the same universal properties is established which is then applied to systems in one and higher dimensions. This leads not only to the discovery of new quantum phases but also to a more systematic understanding of them. A more complete understanding of possible many-body entanglement structures enables us to design an experimentally more feasible many-body entangled state for application in measurement-based quantum computation. Moreover, the framework of measurement-based quantum computation is generalized from spin to fermion systems leading to new possibilities for experimental realization.
Download or read book Field Theory of Non Equilibrium Systems written by Alex Kamenev and published by Cambridge University Press. This book was released on 2011-09-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of non-equilibrium many-body systems is one of the most rapidly expanding areas of theoretical physics. Traditionally used in the study of laser physics and superconducting kinetics, these techniques have more recently found applications in the study of dynamics of cold atomic gases, mesoscopic and nano-mechanical systems. The book gives a self-contained presentation of the modern functional approach to non-equilibrium field-theoretical methods. They are applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. Its step-by-step treatment gives particular emphasis to the pedagogical aspects, making it ideal as a reference for advanced graduate students and researchers in condensed matter physics.
Download or read book Entanglement in Spin Chains written by Abolfazl Bayat and published by Springer Nature. This book was released on 2022-09-26 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent developments in the understanding, quantification, and exploitation of entanglement in spin chain models from both condensed matter and quantum information perspectives. Spin chain models are at the foundation of condensed matter physics and quantum information technologies and elucidate many fundamental phenomena such as information scrambling, quantum phase transitions, and many-body localization. Moreover, many quantum materials and emerging quantum devices are well described by spin chains. Comprising accessible, self-contained chapters written by leading researchers, this book is essential reading for graduate students and researchers in quantum materials and quantum information. The coverage is comprehensive, from the fundamental entanglement aspects of quantum criticality, non-equilibrium dynamics, classical and quantum simulation of spin chains through to their experimental realizations, and beyond into machine learning applications.
Download or read book Holographic Entanglement Entropy written by Mukund Rangamani and published by Springer. This book was released on 2017-05-09 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of developments in the field of holographic entanglement entropy. Within the context of the AdS/CFT correspondence, it is shown how quantum entanglement is computed by the area of certain extremal surfaces. The general lessons one can learn from this connection are drawn out for quantum field theories, many-body physics, and quantum gravity. An overview of the necessary background material is provided together with a flavor of the exciting open questions that are currently being discussed. The book is divided into four main parts. In the first part, the concept of entanglement, and methods for computing it, in quantum field theories is reviewed. In the second part, an overview of the AdS/CFT correspondence is given and the holographic entanglement entropy prescription is explained. In the third part, the time-dependence of entanglement entropy in out-of-equilibrium systems, and applications to many body physics are explored using holographic methods. The last part focuses on the connection between entanglement and geometry. Known constraints on the holographic map, as well as, elaboration of entanglement being a fundamental building block of geometry are explained. The book is a useful resource for researchers and graduate students interested in string theory and holography, condensed matter and quantum information, as it tries to connect these different subjects linked by the common theme of quantum entanglement.
Download or read book Entanglement and Bell Correlations in Strongly Correlated Many body Quantum Systems written by Angelo Piga and published by . This book was released on 2020 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past two decades, thanks to the mutual fertilization of the research in quantum information and condensed matter, new approaches based on purely quantum features without any classical analog turned out to be very useful in the characterization of many-body quantum systems (MBQS). A peculiar role is obviously played by the study of purely quantum correlations, manifesting in the "spooky" properties of entanglement and nonlocality (or Bell correlations), which ultimately discriminate classical from quantum regimes. It is, in fact, such kind of correlations that give rise to the plethora of intriguing emergent behaviors of MBQS, which cannot be reduced to a mere sum of the behaviors of individual components, the most important example being the quantum phase transitions. However, despite being indeed closely related concepts, entanglement and nonlocality are actually two different resources.With regard to the entanglement, we will use it to characterize several instances of MBQS, to exactly locate and characterize quantum phase transitions in spin-lattices and interacting fermionic systems, to classify different gapped quantum phases according to their topological features and to provide a purely quantum signature of chaos in dynamical systems.Our approach will be mainly numerical and for simulating the ground states of several one-dimensional lattice systems we draw heavily on the celebrated "density matrix renormalization group" (DMRG) algorithm in the "matrix product state" (MPS) ansatz. A MPS is a one-dimensional tensor network (TN) representation for quantum states and occupies a pivotal position in what we have gained in thinking MBQS from an entanglement perspective. In fact, the success of TNs states mainly relies on their fulfillment, by construction, of the so called "entanglement area law". This is a feature shared by the ground states of gapped Hamiltonians with short-range interactions among the components and consists of a sub-extensive entanglement entropy, which grows only with the surface of the bipartition. This property translates in a reduced complexity of such systems, allowing affordable simulations, with an exponential reduction of computational costs. Besides the use of already existing TN-based algorithms, an effort will be done to develop a new one suitable for high-dimensional lattices.While many useful results are available for the entanglement in many different contexts, less is known about the role of nonlocality. Formally, a state of a multi-party system is defined nonlocal if its correlations violate some "Bell inequality" (BI). The derivation of the BIs for systems consisting of many parties is a formidable task and only recently, a class of them, relevant for nontrivial states, has been proposed. In an important chapter of the thesis, we apply these BIs to fully characterize the phase transition of a long-range ferromagnetic Ising model, doing a comparison with entanglement-based results and then making one of the first efforts in the study of MBQS from a nonlocality perspective.
Download or read book On the Role of Entanglement in the Out of equilibrium Dynamics of Many body Quantum Systems written by Jacopo Surace and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Manipulating Quantum Systems written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2020-09-14 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Evolution of Entanglement Structure in Open Quantum Systems written by James Gordon Morley-Wilkinson and published by . This book was released on 2019 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis presents research related to the dynamics of quantum systems, both isolated and in the presence of interactions with their environment. Generally, I employ matrix product state (MPS) techniques to explore quantum dynamics in open and closed systems. In the first part I present a study of quantum chaos and how mapping to a MPS variational manifold allow the use of techniques developed in the study of classical many-body systems. Using code developed for this project the Lyapunov spectrum is extracted to give an alternative perspective on eigenstate thermalization, pre-thermalization and integrability. In the second part, I present a novel combination of MPS methods with a Langevin description of the open system. I use this to show how coupling to the environment restricts the growth of entanglement. The consequences of this are relevant for simulations of open quantum systems and their use in in quantum technologies. Finally I discuss applications of these ideas to quantum search. I consider adiabatic and quantum walk algorithms for optimal scaling quantum search algorithms, and hybridizations between the two. The robustness of the different underlying physical mechanisms is investigated in a simple infinite-temperature model, and in a low-temperature limit using the MPS Langevin equation.
Download or read book Entanglement and Symmetry in Quantum Many Body Systems written by and published by . This book was released on 2014 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Localization and Slow Thermalization in Quantum Many body Systems written by Wen Wei Ho and published by . This book was released on 2017 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Entanglement in Quantum Many body Systems written by Hasuk Francis Song and published by . This book was released on 2012 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Potentiality Entanglement and Passion at a Distance written by Robert S. Cohen and published by Springer Science & Business Media. This book was released on 1997-06-30 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Potentiality, Entanglement and Passion-at-a-Distance is a book for theoretical physicists and philosophers of modern physics. It treats a puzzling and provocative aspect of recent quantum physics: the apparent interaction of certain physical events that cannot share any causal connection. These are said to be `entangled' in some way, but an explanation remains elusive. Abner Shimony - to whom the book is dedicated - and others suggest the need to revive the category of what may be seen as a metaphysical potentiality. Abner has described these events without actions to link them as `passion at a distance': not active, but passive. The discussions gathered here are written by a truly remarkable cast of scientists and philosophers and shed new light on the most profound puzzles of our times.
