Understanding Quantum Phase Transitions

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advanced numerical techniques
and Measurement
Bethe Ansatz
Bose Hubbard Model
Category=PHFC
Category=PHJ
Category=PHM
Category=PHQ
Category=PSA
condensed matter theory
critical
Cuprate Superconductors
diagram
Dissipation
DMFT
Entanglement Entropy
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eq_science
Fermi Liquid
Fermi Surface
Green's Function
Green’s Function
ground
Ground State Degeneracy
Hard Core Bosons
Heavy Fermion Metals
ising
Ising Model
Local Order Parameter
model
MPS
New Directions and New Concepts in Quantum Phase Transitions
Numerical Soultion Methods for Quantum Phase Transitions
order
Order Parameter
parameter
points
Progress in Model Hamiltonians and in Specific Systems
QCP
Quantum Critical
Quantum Critical Region
quantum many-body systems
quantum phase transition research applications
Quantum Phase Transitions
Quantum Phase Transitions Across Physics
Quantum Spin Liquid
Quantum Spin Systems
renormalization
Renormalization Group
Spin Boson Model
Spin Chains
state
strong electron correlations
Topological Order
topological quantum phenomena
ultracold atom experiments
Von Neumann Entropy

Product details

  • ISBN 9781439802519
  • Weight: 1156g
  • Dimensions: 156 x 234mm
  • Publication Date: 02 Nov 2010
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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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.