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Interplay of quantum and statistical fluctuations in critical quantum matter

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Interplay of quantum and statistical fluctuations in critical quantum matter/ by Harley Scammell.
Author:	Scammell, Harley.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xx, 165 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Quantum field theory. -
Online resource:	https://doi.org/10.1007/978-3-319-97532-0
ISBN:	9783319975320

Interplay of quantum and statistical fluctuations in critical quantum matter
Scammell, Harley.

Interplay of quantum and statistical fluctuations in critical quantum matter[electronic resource] /by Harley Scammell. - Cham :Springer International Publishing :2018. - xx, 165 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Introduction -- Asymptotic Freedom in Quantum Magnets -- Unifying Static and Dynamic Properties in 3D Quantum Antiferromagnets -- Nonequilibrium Quantum Mechanics: A "Hot Quantum Soup" of Paramagnons -- Dimensional Reduction in Quantum Critical Systems -- Continuity of the Order Parameter in Magnetic Condensates -- Multiple Universalities in Order-Disorder Magnetic Phase Transitions -- Prediction of Ultra-Narrow Higgs Resonance in Magnon Bose-Condensates -- Violation of the Spin-Statistics Theorem and the Bose-Einstein Condensation of Particles with Half-Integer Spin.

This book explores critical phenomena in highly correlated quantum matter. Specifically, quantum antiferromagnets, magnon Bose condensates, and systems exhibiting deconfined quantum criticality are considered. The book's main achievement is the incorporation of both quantum and statistical fluctuations into a quantum field theoretic treatment of critical phenomena. This yields significant new insights into an abundance of problems, positions them in a much more general context, and offers an unprecedented power to analyze experimental and numerical data and predict new effects. Further, a major result and overarching theme is the exploration of the scale-dependent coupling constant - an effect known in quantum chromodynamics as "asymptotic freedom." The book provides the first analysis to reveal asymptotic freedom in the quantum magnetism context, and discusses many other manifestations. Another significant result concerns the development of a consistent theoretical framework that resolves a long-standing inconsistency in the theory of Bose condensation. Using the approach developed here, two new universality classes are subsequently identified. A final major result addresses the exotic scenario of deconfined quantum criticality. Within this framework, the book predicts the Bose condensation of particles with half-integer spin - the first- ever made in this regard. In closing, a smoking gun criterion to test for this exotic condensate is established.

ISBN: 9783319975320

Standard No.: 10.1007/978-3-319-97532-0doiSubjects--Topical Terms:

579915
Quantum field theory.

LC Class. No.: QC174.45 / .S336 2018

Dewey Class. No.: 530.143

Interplay of quantum and statistical fluctuations in critical quantum matter
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505 0 $a Introduction -- Asymptotic Freedom in Quantum Magnets -- Unifying Static and Dynamic Properties in 3D Quantum Antiferromagnets -- Nonequilibrium Quantum Mechanics: A "Hot Quantum Soup" of Paramagnons -- Dimensional Reduction in Quantum Critical Systems -- Continuity of the Order Parameter in Magnetic Condensates -- Multiple Universalities in Order-Disorder Magnetic Phase Transitions -- Prediction of Ultra-Narrow Higgs Resonance in Magnon Bose-Condensates -- Violation of the Spin-Statistics Theorem and the Bose-Einstein Condensation of Particles with Half-Integer Spin.
520 $a This book explores critical phenomena in highly correlated quantum matter. Specifically, quantum antiferromagnets, magnon Bose condensates, and systems exhibiting deconfined quantum criticality are considered. The book's main achievement is the incorporation of both quantum and statistical fluctuations into a quantum field theoretic treatment of critical phenomena. This yields significant new insights into an abundance of problems, positions them in a much more general context, and offers an unprecedented power to analyze experimental and numerical data and predict new effects. Further, a major result and overarching theme is the exploration of the scale-dependent coupling constant - an effect known in quantum chromodynamics as "asymptotic freedom." The book provides the first analysis to reveal asymptotic freedom in the quantum magnetism context, and discusses many other manifestations. Another significant result concerns the development of a consistent theoretical framework that resolves a long-standing inconsistency in the theory of Bose condensation. Using the approach developed here, two new universality classes are subsequently identified. A final major result addresses the exotic scenario of deconfined quantum criticality. Within this framework, the book predicts the Bose condensation of particles with half-integer spin - the first- ever made in this regard. In closing, a smoking gun criterion to test for this exotic condensate is established.
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