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Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter

  • Couverture cartonnée
  • 188 Nombre de pages
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This book explores critical phenomena in highly correlated quantum matter. Specifically, quantum antiferromagnets, magnon Bose con... Lire la suite
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Description

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.



Nominated as an outstanding Ph.D thesis by the University of New South Wales, Sydney, Australia

Offers a self-contained exploration of magnetic critical systems, and highlights asymptotic freedom as a central theme that provides a unifying picture of various magnetic critical phenomena

Demonstrates how to incorporate both quantum and statistical fluctuations into a quantum field theoretic treatment of critical phenomena, which offers significant new insights into an abundance of problems, and positions them in a much more general context



Contenu
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.

Informations sur le produit

Titre: Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter
Auteur:
Code EAN: 9783030073695
ISBN: 3030073696
Format: Couverture cartonnée
Editeur: Springer International Publishing
nombre de pages: 188
Poids: 295g
Taille: H235mm x B155mm x T10mm
Année: 2019
Auflage: Softcover reprint of the original 1st ed. 2018

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