Authors:
- 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
- Demonstrates a new method for calculating the density of states in superconducting nanowires
- Probes an intriguing theoretical connection between Bose-Einstein condensates and general relativity
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
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 physical properties of the fluctuations in an elegant way, it sheds light on the nature of space-time. The book will be a valuable contribution for its unifying style that illuminates conceptually challenging developments in condensed matter physics and its use of elegant mathematical models in addition to producing new and concrete results.
Keywords
- many-body localization
- strongly interacting Bose-Einstein condensates
- Majorana zero mode calculation
- fluctuations in superfluids
- stochastic fluctuations space-time
- mathematical models for condensed matter physics
- quantum many body systems
- quasiclassical superconductivity methods
- interacting linear rotors
- classical methods in quantum problems
Authors and Affiliations
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School of Physics, UNSW Australia, Sydney, Australia
Aydın Cem Keser
About the author
Bibliographic Information
Book Title: Classical Analogies in the Solution of Quantum Many-Body Problems
Authors: Aydın Cem Keser
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-030-00488-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-00487-3Published: 15 November 2018
eBook ISBN: 978-3-030-00488-0Published: 07 November 2018
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XVII, 99
Number of Illustrations: 3 b/w illustrations, 8 illustrations in colour
Topics: Strongly Correlated Systems, Superconductivity, Quantum Gases and Condensates, Classical Mechanics, Mathematical Methods in Physics, Mathematical Physics