This book presents a selection of advanced lectures from leading researchers, providing recent theoretical results on strongly coupled quantum field theories. It also analyzes their use for describing new quantum states, which are physically realizable in condensed matter, cold-atomic systems, as well as artificial materials. It particularly focuses on the engineering of these states in quantum devices and novel materials useful for quantum information processing.

The book offers graduate students and young researchers in the field of modern condensed matter theory an updated review of the most relevant theoretical methods used in strongly coupled field theory and string theory. It also provides the tools for understanding their relevance in describing the emergence of new quantum states in a variety of physical settings.

Specifically, this proceedings book summarizes new and previously unrelated developments in modern condensed matter physics, in particular: the interface of condensed matter theory and quantum information theory; the interface of condensed matter physics and the mathematics emerging from the classification of the topological phases of matter, such as topological insulators and topological superconductors; and the simulation of condensed matter systems with cold atoms in optical lattices.

Autorentext

Alvaro Ferraz obtained his D.Phil. from the University of Oxford and became a Full Professor of Physics at the University of Brasília in 2003. In 2010, he moved to the Federal University of Rio Grande do Norte to direct the International Institute of Physics in Natal. His research focuses mainly on strongly interacting electronic systems.

Kumar S. Gupta is a theoretical physicist working at Saha Institute of Nuclear Physics in Kolkata, India. He obtained his Ph.D. degree from Syracuse University, USA, and undertook postdoctoral research at the University of Rochester and at Iowa State University. His research interests include non-equilibrium dynamics, entanglement entropy, quantum aspects of black holes, and topological quantum field theories.

Gordon Walter Semenoff holds a Ph.D. from the University of Alberta, was a Postdoctoral Fellow at the Massachusetts Institute of Technology, and has been a Professor of Physics at the University of British Columbia since 1990. He is a Fellow of the Royal Society of Canada and an Officer of the Order of Canada. He is known for his work on quantum field theory, string theory and theoretical elementary particle and condensed matter physics.

Pasquale Sodano holds a Ph.D. from the University of Alberta (Canada) and a master's degree from the University Federico II in Naples (Italy). He undertook postdoctoral research at the Massachusetts Institute of Technology (U.S.A.). He has been long-term Visiting Researcher at Los Alamos National Laboratories (U.S.A.), at Perimeter Institute (Canada), at the Max Planck Institute for Complex Systems (Germany), and at the International Institute of Physics in Natal (Brazil). He has been a Full Professor of Theoretical Physics at the University of Perugia in Italy since 1990. His more recent research interests are in the field of quantum field theory of condensed matter systems.

Inhalt

1) Effective Field Theories for Topological States of Matter by Thors Hans Hansson and Thomas Klein Kvorning;

2) Entanglement Measures in Conformal Field Theories and ADS/CFT by Erik Tonni;

3) Entanglement Content of Many Body States via Concurrence, Negativity & Schmidt Gap by

Sougato Bose, Abolfazl Bayat, Henrik Johannesson and Pasquale Sodano;

4) Generalized Entanglement Entropy in New Spin Chains by Fumihiko Sugino e Vladimir Korepin;

5) Topological Kondo Effect by Francesco Buccheri and Reinhold Egger;

6) Holographyc Kondo Models by Johanna Erdmenger;

7) Local Probe of the Kondo Length at a Y-junction of Critical Quantum Ising Chains by Domenico Giuliano and Pasquale Sodano;

8) Gauge Theories with Ultracold Atoms by Joao C. Pinto Barros, Michele Burrello and Andrea Trombettoni;

9) The Remarkable BEC Dimer by David K. Campbell;

10) Quantized Vortex Lines in BECs with a Generalized Equation of State by Tommaso Macrì;

11) Topological View on Entanglement and Complexity by Dmitry Melnikov;

12) Finite Size Effects in Topological Quantum Phase Transitions by Mucio A. Continentino, Sabrina Rufo and Griffith M. Rufo;

13) From Quantum Spin Chains to Chiral Spin Liquids by Rodrigo G. Pereira;

14) Majorana Zero-Energy Modes in a Magnetic Field-Free Quantum Wire by Mariana Malard;

15) From Graphene to Quantum Computation: An Expedition to the Dirac Sea by Eduardo C. Marino; 16) Quantum Dynamics from a Domain Wall Initial State, in Real and Imaginary Time by Jacopo Viti;

17) Quantum Thermodynamics at Impurity Quantum Phase Transitions by Abolfazl Bayat et al.;

18) Information Delocalization in Many Body Systems: from MBL phases to Black Holes by Javier M. Magan and Simone Paganelli;

19) Breaking the Area Law: the Rainbow State by Giovanni Ramirez, Javier Rodriguez-Laguna and German Sierra.