Macroscopic Limits Of Quantum Systems

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Macroscopic Limits Of Quantum Systems

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Author : Daniela Cadamuro
language : en
Publisher: Springer
Release Date : 2018-10-26

Macroscopic Limits Of Quantum Systems written by Daniela Cadamuro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-26 with Science categories.

Based on the workshop of the same name, this proceedings volume presents selected research investigating the mathematics of collective phenomena emerging from quantum theory at observable scales. Featured contributions from leading scientists provide a thorough overview of current and active research. Methods from functional analysis, spectral theory, renormalization group theory, and variational calculus are used to prove rigorous results in quantum physics. Topics include superconductivity and mathematical aspects of the BCS theory, the Jellium model and Bose-Einstein condensation, among others. Presenting technical details in an accessible way, this book serves as an introduction to research for advanced graduate students and is suitable for specialists in mathematical physics. The workshop “Macroscopic Limits of Quantum Systems” was held over three days in the spring of 2017 at the Technical University of Munich. The conference celebrated the achievements of Herbert Spohn and his reception of the Max Planck Medal.

Topics On The Information Theoretic Limits Of Quantum Information Processing And Its Implementation

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Author : Sadegh Raeisi
language : en
Publisher:
Release Date : 2014

Topics On The Information Theoretic Limits Of Quantum Information Processing And Its Implementation written by Sadegh Raeisi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.

Recent advances in quantum technologies enabled us to make large quantum states and pushed towards examining quantum theory at the macroscopic level. However observation of quantum e ects at a macroscopic level still remains a demanding task. In this thesis we try to address one of the challenges and propose and explore some new solutions. One of the obstacles for observation of macroscopic quantum e ects is the sensitivity to the measurement resolution. For many different cases, it has been observed that the precision requirement for measuring quantum effects increases with the system size. We formalize this as a conjecture that for observation of macroscopic quantum effects, either the outcome precision or the control precision of the measurements has to increase with system size. This indicates that the complexity of macroscopic quantum measurement increases with the system size and sheds some lights on the quantum-to-classical transition at the macroscopic level. We also introduce a technique to go around the sensitivity problem for observation of micro-macro entanglement. We propose that using a unitary deamplification process, one can bring the system back to the microscopic level where the measurements are less demanding and quantum effects are easier to verify. As the unitary processes do not change the entanglement, this serves as a verification tool for micro-macro entanglement. We also explored the connection between quantum effects and thermodynamics of macroscopic quantum systems for two specific cases. For one, we investigated the effect of entanglement in composite bosons and Bose-Einstein condensation. We showed that as the state of the composite boson approaches a maximally entangled state, the condensation rate also approaches one. The other case we considered was heat-bath algorithmic cooling. We found the cooling limit of this class of thermodynamic transformations and showed that it decreases exponentially with the number of qubits. We also developed an entropic version of Mermin's inequality. Here the idea is to develop a tool to reveal the entanglement in many-body quantum systems based on the entropy of the measurement outcomes. We introduce a new inequality that holds for locally realistic models, yet can be violated with quantum measurements. One of the nice features of this inequality is that it can be violated maximally with quantum measurements. This resembles the GHZ paradox but for entropies of the measurement outcomes.

Quantum Mechanics And Its Emergent Macrophysics

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Author : Geoffrey Sewell
language : en
Publisher: Princeton University Press
Release Date : 2020-11-10

Quantum Mechanics And Its Emergent Macrophysics written by Geoffrey Sewell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-10 with Science categories.

The quantum theory of macroscopic systems is a vast, ever-developing area of science that serves to relate the properties of complex physical objects to those of their constituent particles. Its essential challenge is that of finding the conceptual structures needed for the description of the various states of organization of many-particle quantum systems. In this book, Geoffrey Sewell provides a new approach to the subject, based on a "macrostatistical mechanics," which contrasts sharply with the standard microscopic treatments of many-body problems. Sewell begins by presenting the operator algebraic framework for the theory. He then undertakes a macrostatistical treatment of both equilibrium and nonequilibrium thermodynamics, which yields a major new characterization of a complete set of thermodynamic variables and a nonlinear generalization of the Onsager theory. The remainder of the book focuses on ordered and chaotic structures that arise in some key areas of condensed matter physics. This includes a general derivation of superconductive electrodynamics from the assumptions of off-diagonal long-range order, gauge covariance, and thermodynamic stability, which avoids the enormous complications of the microscopic treatments. Sewell also unveils a theoretical framework for phase transitions far from thermal equilibrium. Throughout, the mathematics is kept clear without sacrificing rigor. Representing a coherent approach to the vast problem of the emergence of macroscopic phenomena from quantum mechanics, this well-written book is addressed to physicists, mathematicians, and other scientists interested in quantum theory, statistical physics, thermodynamics, and general questions of order and chaos.

Exploring The Quantum Classical Frontier

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Author : Jonathan R. Friedman
language : en
Publisher: Nova Publishers
Release Date : 2003

Exploring The Quantum Classical Frontier written by Jonathan R. Friedman and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.

Exploring the Quantum/Classical Frontier - Recent Advances in Macroscopic Quantum Phenomena

Complexity From Microscopic To Macroscopic Scales Coherence And Large Deviations

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Author : A.T. Skjeltorp
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Complexity From Microscopic To Macroscopic Scales Coherence And Large Deviations written by A.T. Skjeltorp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

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.

Quantum Dissipative Systems

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Author : Ulrich Weiss
language : en
Publisher: World Scientific
Release Date : 1999

Quantum Dissipative Systems written by Ulrich Weiss and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Science categories.

Recent advances in the quantum theory of macroscopic systems have brightened up the field and brought it into the focus of a general community in natural sciences. The fundamental concepts, methods and applications including the most recent developments, previously covered for the most part only in the original literature, are presented here in a comprehensive treatment to an audience who is reasonably familiar with quantum-statistical mechanics and has had rudimentary contacts with the path integral formulation. This book deals with the phenomena and theory of decoherence and dissipation in quantum mechanics that arise from the interaction with the environment. A general path integral description of equilibrium thermodynamics and non-equilibrium dynamics is developed. The approach can deal with weak and strong dissipation, and with all kinds of memory effects. Applications to numerous phenomenological and microscopic systems are presented, where emphasis is put on condensed matter and chemical physics. The basic principles and methods of preparation functions, propagating functions, and time correlation functions are described. Special attention is focused on quantum tunneling and quantum coherence phenomena of macroscopic variables. Many illustrative realistic examples are discussed in some detail. The book attempts to provide a broad perspective and to open up this rapidly developing field to interested researchers normally working in different fields. In this enlarged second edition, the nineteen chapters of the first edition have been expanded by about one-third to better meet both the requests of newcomers to the field and of advanced readers, and seven new chapters have beenadded that review the most recent important developments.

Coherent Quantum Physics

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Author : Arnold Neumaier
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-10-21

Coherent Quantum Physics written by Arnold Neumaier and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-21 with Science categories.

This book introduces mathematicians, physicists, and philosophers to a new, coherent approach to theory and interpretation of quantum physics, in which classical and quantum thinking live peacefully side by side and jointly fertilize the intuition. The formal, mathematical core of quantum physics is cleanly separated from the interpretation issues. The book demonstrates that the universe can be rationally and objectively understood from the smallest to the largest levels of modeling. The thermal interpretation featured in this book succeeds without any change in the theory. It involves one radical step, the reinterpretation of an assumption that was virtually never questioned before - the traditional eigenvalue link between theory and observation is replaced by a q-expectation link: Objective properties are given by q-expectations of products of quantum fields and what is computable from these. Averaging over macroscopic spacetime regions produces macroscopic quantities with negligible uncertainty, and leads to classical physics. - Reflects the actual practice of quantum physics. - Models the quantum-classical interface through coherent spaces. - Interprets both quantum mechanics and quantum field theory. - Eliminates probability and measurement from the foundations. - Proposes a novel solution of the measurement problem.

The Continuum Limit Of Causal Fermion Systems

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Author : Felix Finster
language : en
Publisher: Springer
Release Date : 2016-08-19

The Continuum Limit Of Causal Fermion Systems written by Felix Finster and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Science categories.

This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and "quantum geometries". The dynamics is described by a novel variational principle, called the causal action principle. In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space. The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.

Exploring Macroscopic Quantum Mechanics In Optomechanical Devices

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Author : Haixing Miao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-12

Exploring Macroscopic Quantum Mechanics In Optomechanical Devices written by Haixing Miao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-12 with Science categories.

Recent state-of-the-art technologies in fabricating low-loss optical and mechanical components have significantly motivated the study of quantum-limited measurements with optomechanical devices. Such research is the main subject of this thesis. In the first part, the author considers various approaches for surpassing the standard quantum limit for force measurements. In the second part, the author proposes different experimental protocols for using optomechanical interactions to explore quantum behaviors of macroscopic mechanical objects. Even though this thesis mostly focuses on large-scale laser interferometer gravitational-wave detectors and related experiments, the general approaches apply equally well for studying small-scale optomechanical devices. The author is the winner of the 2010 Thesis prize awarded by the Gravitational Wave International Committee.

Quantum Field Theory And Its Macroscopic Manifestations Boson Condensation Ordered Patterns And Topological Defects

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Author : Massimo Blasone
language : en
Publisher: World Scientific
Release Date : 2011-02-21

Quantum Field Theory And Its Macroscopic Manifestations Boson Condensation Ordered Patterns And Topological Defects written by Massimo Blasone and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-21 with Science categories.

Quantum dynamics underlies macroscopic systems exhibiting some kind of ordering, such as superconductors, ferromagnets and crystals. Even large scale structures in the Universe and ordering in biological systems appear to be the manifestation of microscopic dynamics ruling their elementary components. The scope of this book is to answer questions such as: how it happens that the mesoscopic/macroscopic scale and stability characterizing those systems are dynamically generated out of the microscopic scale of fluctuating quantum components; how quantum particles coexist and interact with classically behaving macroscopic objects, e.g. vortices, magnetic domains and other topological defects. The quantum origin of topological defects and their interaction with quanta is a crucial issue for the understanding of symmetry breaking phase transitions and structure formation in a wide range of systems from condensed matter to cosmology. Deliberately not discussing other important problems, primarily renormalization problems, this book provides answers to such questions in a unitary, self-consistent physical and mathematical framework, which makes it unique in the panorama of existing texts on a similar subject. Crystals, ferromagnets and superconductors appear to be macroscopic quantum systems, i.e. their macroscopic properties cannot be explained without recourse to the underlying quantum dynamics. Recognizing that quantum field dynamics is not confined to the microscopic world is one of the achievements of this book, also marking its difference from other texts. The combined use of algebraic methods, and operator and functional formalism constitutes another distinctive, valuable feature./a