Understanding Quantum Phase Transitions
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Understanding Quantum Phase Transitions
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Author : Lincoln Carr
language : en
Publisher: CRC Press
Release Date : 2010-11-02
Understanding Quantum Phase Transitions written by Lincoln Carr and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-02 with Science categories.
Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivity and display fundamental aspects of quantum theory, such as strong correlations and entanglement. Over the last two decades, our understanding of QPTs has increased tremendously due to a plethora of experimental examples, powerful new numerical methods, and novel theoretical understanding of previously intractable quantum many-body problems. Understanding Quantum Phase Transitions organizes our current understanding of QPTs with an emphasis on examples from condensed matter physics. Bringing together 48 well known physicists involved with the theory and observation of QPTs, this unique work provides a thorough yet concise examination of the field. Each chapter takes readers through past discoveries right up through the latest research results, and then ends with open questions and unsolved problems. Part I treats new concepts and directions in QPTs, from dynamics through dissipation and entanglement, and includes introductory material suitable for scientists new to the field. Part II explores specific models, systems, and aspects of QPTs, including topological order, the Kondo lattice, the Jaynes-Cummings lattice, reduced dimensionality, finite-size effects and metastability, and QPTs in Bose-Einstein condensates. Part III covers experiments motivated by a deeper understanding of QPTs, including quantum dots, 2D electron systems, frustrated lattices in molecular antiferromagnets, heavy fermions, and ultracold atoms in optical lattices. Part IV presents advances in numerical methods used to study QPTs, including cluster Monte Carlo and the worm algorithm, matrix-product-state methods, and dynamical mean-field theory. Part V looks at the relevance of QPTs beyond condensed-matter physics, including their occurrence in neutron stars, the quark-gluon plasma, cavity QED systems, and string theory. Graduate students, post-doctoral researchers, and professional scientists who seek a deep knowledge of QPTs will all find this book very useful. Researchers in the field will enhance their appreciation of the incredible breadth of the subject in chapters covering material outside their specialties.
Quantum Phase Transitions
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Author : Subir Sachdev
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-07
Quantum Phase Transitions written by Subir Sachdev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-07 with Science categories.
Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.
Understanding Quantum Phase Transitions
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Author : Lincoln Carr
language : en
Publisher: CRC Press
Release Date : 2010-11-02
Understanding Quantum Phase Transitions written by Lincoln Carr and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-02 with Science categories.
Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit
Quantum Phase Transitions In Cold Atoms And Low Temperature Solids
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Author : Kaden Richard Alan Hazzard
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
Quantum Phase Transitions In Cold Atoms And Low Temperature Solids written by Kaden Richard Alan Hazzard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Science categories.
The primary focus of this thesis is to theoretically describe nanokelvin experiments in cold atomic gases, which offer the potential to revolutionize our understanding of strongly correlated many-body systems. The thesis attacks major challenges of the field: it proposes and analyzes experimental protocols to create new and interesting states of matter and introduces theoretical techniques to describe probes of these states. The phenomena considered include the fractional quantum Hall effect, spectroscopy of strongly correlated states, and quantum criticality, among others. The thesis also clarifies experiments on disordered quantum solids, which display a variety of exotic phenomena and are candidates to exhibit so-called "supersolidity." It collects experimental results and constrains their interpretation through theoretical considerations. This Doctoral Thesis has been accepted by Cornell University, Ithaca, USA.
Quantum Ising Phases And Transitions In Transverse Ising Models
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Author : Sei Suzuki
language : en
Publisher: Springer
Release Date : 2012-12-14
Quantum Ising Phases And Transitions In Transverse Ising Models written by Sei Suzuki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-14 with Science categories.
Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area.
Quantum Phase Transitions In Transverse Field Models
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Author : Amit Dutta
language : en
Publisher: Cambridge University Press
Release Date : 2015-01-28
Quantum Phase Transitions In Transverse Field Models written by Amit Dutta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-28 with Science categories.
This book establishes the fundamental connections between the physics of quantum phase transitions and the technological promise of quantum information.
Quantum Analogues From Phase Transitions To Black Holes And Cosmology
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Author : William Unruh
language : en
Publisher: Springer
Release Date : 2007-04-14
Quantum Analogues From Phase Transitions To Black Holes And Cosmology written by William Unruh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-14 with Science categories.
Recently, analogies between laboratory physics (e.g. quantum optics and condensed matter) and gravitational/cosmological phenomena such as black holes have attracted an increasing interest. Especially in view of the tremendous progress of the experimental capabilities (e.g. regarding superfluids such as liquid Helium or gaseous Bose-Einstein condensates), exotic quantum effects such as Hawking radiation might come into reach for the first time. This book contains a series of selected lectures devoted to this new and rapidly developing interdisciplinary field of research. Various analogies connecting (apparently) different areas in physics are presented in order to bridge the gap between them and to provide an alternative point of view - which will provide a deeper insight for graduate students as well as senior scientists.
Quantum Scaling In Many Body Systems
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Author : Mucio Continentino
language : en
Publisher: Cambridge University Press
Release Date : 2017-04-17
Quantum Scaling In Many Body Systems written by Mucio Continentino and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-17 with Science categories.
Focusing on experimental results, this updated edition approaches the problem of quantum phase transitions from a new and unifying perspective.
The Physics Of Phase Transitions
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Author : Pierre Papon
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
The Physics Of Phase Transitions written by Pierre Papon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
We learned in school that matter exists in three forms: solid, liquid and gas, as well as other more subtle things such as the fact that "evaporation produces cold. " The science of the states of matter was born in the 19th century. It has now grown enormously in two directions: 1) The transitions have multiplied: first between a solid and a solid, par ticularly for metallurgists. Then for magnetism, illustrated in France by Louis Neel, and ferro electricity. In addition, the extraordinary phenomenon of su perconductivity in certain metals appeared at the beginning of the 20th cen tury. And other superfluids were recognized later: helium 4, helium 3, the matter constituting atomic nuclei and neutron stars . . . There is now a real zoology of transitions, but we know how to classify them based on Landau's superb idea. 2) Our profound view of the mechanisms has evolved: in particular, the very universal properties of fluctuations near a critical point - described by Kadanoff's qualitative analysis and specified by an extraordinary theoretical tool: the renormalization group. Without exaggerating, we can say that our view of condensed matter has undergone two revolutions in the 20th century: first, the introduction of quantum physics in 1930, then the recognition of "self-similar" structures and the resulting scaling laws around 1970. .
Conductor Insulator Quantum Phase Transitions
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Author : Vladimir Dobrosavljevic
language : en
Publisher: Oxford University Press, USA
Release Date : 2012-06
Conductor Insulator Quantum Phase Transitions written by Vladimir Dobrosavljevic and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06 with Science categories.
When many particles come together how do they organize themselves? And what destroys this organization? Combining experiments and theory, this book describes intriguing quantum phases - metals, superconductors and insulators - and transitions between them. It captures the excitement and the controversies on topics at the forefront of research.