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Titlebook: Classical Analogies in the Solution of Quantum Many-Body Problems; Aydın Cem Keser Book 2018 Springer Nature Switzerland AG 2018 many-body

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书目名称Classical Analogies in the Solution of Quantum Many-Body Problems
编辑Aydın Cem Keser
视频video
概述Nominated as an outstanding PhD thesis by the University of Maryland, College Park, USA.Presents a unified innovative approach to three tough and disparate problems in condensed matter physics.Demonst
丛书名称Springer Theses
图书封面Titlebook: Classical Analogies in the Solution of Quantum Many-Body Problems;  Aydın Cem Keser Book 2018 Springer Nature Switzerland AG 2018 many-body
描述.This book addresses problems in three main developments in modern condensed matter physics– namely topological superconductivity, many-body localization and strongly interacting condensates/superfluids–by employing fruitful analogies from classical mechanics. This strategy has led to tangible results, firstly in superconducting nanowires: the density of states, a smoking gun for the long sought Majorana zero mode is calculated effortlessly by mapping the problem to a textbook-level classical point particle problem. Secondly, in localization theory even the simplest toy models that exhibit many-body localization are mathematically cumbersome and results rely on simulations that are limited by computational power. In this book an alternative viewpoint is developed by describing many-body localization in terms of quantum rotors that have incommensurate rotation frequencies, an exactly solvable system. Finally, the fluctuations in a strongly interacting Bose condensate and superfluid, anotoriously difficult system to analyze from first principles, are shown to mimic stochastic fluctuations of space-time due to quantum fields. This analogy not only allows for the computation of physica
出版日期Book 2018
关键词many-body localization; strongly interacting Bose-Einstein condensates; Majorana zero mode calculation
版次1
doihttps://doi.org/10.1007/978-3-030-00488-0
isbn_ebook978-3-030-00488-0Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer Nature Switzerland AG 2018
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Dynamical Many-Body Localization in an Integrable Model,stems. Notably, the remarkable phenomenon of many-body localization (MBL) was discovered. In an isolated system, MBL manifests itself in the localization of all eigenstates and leads to the breakdown of ergodicity and violation of the eigenvalue thermalization hypothesis, forcing to revisit the very foundations of quantum statistical mechanics.
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Conclusions, those that appear in anthropic scales, which makes the theory appealing to our intuition. For this very reason, it historically precedes quantum mechanics that lies at the heart of our current understanding of nature.
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Aydın Cem KeserNominated as an outstanding PhD thesis by the University of Maryland, College Park, USA.Presents a unified innovative approach to three tough and disparate problems in condensed matter physics.Demonst
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Representations of Symmetric Groups,The idea that a curved space-time is an emergent structure has a long history and has been discussed in various physical contexts from classical fluid mechanics and crystals with defects to quantum entanglement. The emergent scenario when it comes to explaining gravitation itself remains speculative at this stage.
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