Entanglement in Spin Chains

This book covers recent developments in the understanding, quantification, and exploitation of entanglement in spin chain models from both condensed matter and quantum information perspectives. Spin chain models are at the foundation of condensed matter physics and quantum information technologies and elucidate many fundamental phenomena such as information scrambling, quantum phase transitions, and many-body localization. Moreover, many quantum materials and emerging quantum devices are well described by spin chains. Comprising accessible, self-contained chapters written by leading researchers, this book is essential reading for graduate students and researchers in quantum materials and quantum information. The coverage is comprehensive, from the fundamental entanglement aspects of quantum criticality, non-equilibrium dynamics, classical and quantum simulation of spin chains through to their experimental realizations, and beyond into machine learning applications.

Features spin chains as a useful pedagogical tool for understanding entanglement Accessible at the advanced undergraduate level and beyond Covers a broad spectrum of topics, including recent advances and novel applications of entanglement in spin chains

Autorentext

Abolfazl Bayat is a Professor of Physics at University of Electronic Science and Technology of China. He has completed his PhD in 2008 from Sharif University of Technology in Iran and then held postdoctoral positions at the University of Ulm in Germany and the University College London in the UK. His research interest is at the intersection of quantum technologies and condensed matter physics. Currently, his research activities focus on quantum simulation of strongly correlated systems and many-body quantum sensors.

Henrik Johannesson is Professor of Theoretical Physics at the University of Gothenburg. He gained his undergraduate degree from Stockholm University in 1980, and received a Ph.D. from Rutgers University in 1985. He has held postdoctoral positions at the University of California at San Diego and Chalmers University of Technology. Johannesson's research focus on correlation effects in low-dimensional quantum matter, topological phases, and quantum systemsout of equilibrium.

Sougato Bose is a Professor of Physics as University College London. He obtained his Masters degree from Indian Institute of Technology, Kharagpur, India in 1996, and his PhD from Imperial College, London, in 2000. He held postdoctoral positions in Oxford and Caltech. A primary area of his research has been in the characterization and exploitation of entanglement in many-body spin systems, for which he was awarded the Maxwell Medal and Prize of the Institute of Physics, UK, in 2008. Additional interests involve quantum simulators, quantum optics and foundational work on the quantum nature of large masses and gravity.

Inhalt
Chapter 1: Entanglement spectra of spin chains.- Chapter 2: Detecting quantum phase transitions in spin chains.- Chapter 3: Entanglement entropy in critical quantum spin chains with boundaries and defects.- Chapter 4: Entanglement entropy and localization in disordered quantum chains.- Chapter 5: Some aspects of Aeck-Kennedy-Lieb-Tasaki models: tensor network, physical properties, spectral gap, deformation, and quantum computation.- Chapter 6: Machine-learning-assisted entanglement.- Chapter 7: Local Convertibility in quantum spin.- Chapter 8: Optimal parent Hamiltonians for many-body.- Chapter 9: Entanglement dynamics in hybrid quantum circuits.- Chapter 10: Quantum simulation using noisy unitary circuits and measurements.- Chapter 12: Quantum map approach to entanglement.- Chapter 13: Weak ergodicity breaking through the lens of quantum entanglement.- Chapter 14: Quench dynamics of Rényi negativities.- Chapter 15: Phases and dynamics of ultracold bosons in a tilted optical lattice.- Chapter 16: NMR experimental study of out-of-equilibrium.- Chapter 17: Quantum-dot spin chains.