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010   $a3-030-00488-0
024 7 $a10.1007/978-3-030-00488-0
035   $a(CKB)4100000007127500
035   $a(MiAaPQ)EBC5598626
035   $a(DE-He213)978-3-030-00488-0
035   $a(PPN)232468826
035   $a(EXLCZ)994100000007127500
100   $a20181107d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aClassical Analogies in the Solution of Quantum Many-Body Problems /$fby Ayd?n Cem Keser
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (99 pages)
225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
311   $a3-030-00487-2 
327   $aChapter1. Introduction -- Chapter2. Long Range p-Wave Proximity Effect into a Disordered Metal -- Chapter3. Analogue Stochastic Gravity in Strongly Interacting Bose-Einstein Condensates -- Chapter4. Dynamical Many-Body Localization in an Integrable Model -- Chapter5. Conclusions.
330   $aThis book addresses problems in three main developments in modern condensed matter physics? namely topological superconductivity, many-body localization and strongly interacting condensates/superfluids?by employing fruitful analogies from classical mechanics. This strategy has led to tangible results, firstly in superconducting nanowires: the density of states, a smoking gun for the long sought Majorana zero mode is calculated effortlessly by mapping the problem to a textbook-level classical point particle problem. Secondly, in localization theory even the simplest toy models that exhibit many-body localization are mathematically cumbersome and results rely on simulations that are limited by computational power. In this book an alternative viewpoint is developed by describing many-body localization in terms of quantum rotors that have incommensurate rotation frequencies, an exactly solvable system. Finally, the fluctuations in a strongly interacting Bose condensate and superfluid, a notoriously difficult system to analyze from first principles, are shown to mimic stochastic fluctuations of space-time due to quantum fields. This analogy not only allows for the computation of physical properties of the fluctuations in an elegant way, it sheds light on the nature of space-time. The book will be a valuable contribution for its unifying style that illuminates conceptually challenging developments in condensed matter physics and its use of elegant mathematical models in addition to producing new and concrete results.
410  0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
606   $aSuperconductivity
606   $aSuperconductors
606   $aPhase transformations (Statistical physics)
606   $aCondensed matter
606   $aMechanics
606   $aPhysics
606   $aMathematical physics
606   $aStrongly Correlated Systems, Superconductivity$3https://scigraph.springernature.com/ontologies/product-market-codes/P25064
606   $aQuantum Gases and Condensates$3https://scigraph.springernature.com/ontologies/product-market-codes/P24033
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
615  0$aSuperconductivity.
615  0$aSuperconductors.
615  0$aPhase transformations (Statistical physics)
615  0$aCondensed matter.
615  0$aMechanics.
615  0$aPhysics.
615  0$aMathematical physics.
615 14$aStrongly Correlated Systems, Superconductivity.
615 24$aQuantum Gases and Condensates.
615 24$aClassical Mechanics.
615 24$aMathematical Methods in Physics.
615 24$aMathematical Physics.
676   $a530.144
700   $aKeser$b Ayd?n Cem$4aut$4http://id.loc.gov/vocabulary/relators/aut$0833939
906   $aBOOK
912   $a9910300539403321
996   $aClassical Analogies in the Solution of Quantum Many-Body Problems$91864452
997   $aUNINA