Taylor and Francis Group, LLC., 2011. – 752 p. – ISBN: 1439802513Quantum 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. Contents New Directions and New Concepts in Quantum Phase Transitions Finite Temperature Dissipation and Transport Near Quantum Critical Points Dissipation, Quantum Phase Transitions, and Measurement Universal Dynamics Near Quantum Critical Points Fractionalization and Topological Order Entanglement Renormalization: An Introduction The Geometry of Quantum Phase Transitions Progress in Model Hamiltonians and in Specific Systems Topological Order and Quantum Criticality Quantum Criticality and the Kondo Lattice Quantum Phase Transitions in Spin-Boson Systems: Dissipation and Light Phenomena Topological Excitations in Superfluids with Internal Degrees of Freedom Quantum Monte Carlo Studies of the Attractive Hubbard Hamiltonian Quantum Phase Transitions in Quasi-One-Dimensional Systems Metastable Quantum Phase Transitions in a One-Dimensional Bose Gas Experimental Realizations of Quantum Phases and Quantum Phase Transitions Quantum Phase Transitions in Quantum Dots Quantum Phase Transitions in Two-Dimensional Electron Systems Local Observables for Quantum Phase Transitions in Strongly Correlated Systems Molecular Quasi-Triangular Lattice Antiferromagnets Probing Quantum Criticality and its Relationship with Superconductivity in Heavy Fermions Strong Correlation Effects with Ultracold Bosonic Atoms in Optical Lattices Numerical Solution Methods for Quantum Phase Transitions Worm Algorithm for Problems of Quantum and Classical Statistics Cluster Monte Carlo Algorithms for Dissipative Quantum Phase Transitions Current Trends in Density Matrix Renormalization Group Methods Simulations Based on Matrix Product States and Projected Entangled Pair States Continuous-Time Monte Carlo Methods for Quantum Impurity Problems and Dynamical Mean Field Calculations Quantum Phase Transitions Across Physics Quantum Phase Transitions in Dense QCD Quantum Phase Transitions in Coupled Atom-Cavity Systems Quantum Phase Transitions in Nuclei Quantum Critical Dynamics from Black Holes
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