|
Showing 1 - 2 of
2 matches in All Departments
This book approaches condensed matter physics from the perspective
of quantum information science, focusing on systems with strong
interaction and unconventional order for which the usual condensed
matter methods like the Landau paradigm or the free fermion
framework break down. Concepts and tools in quantum information
science such as entanglement, quantum circuits, and the tensor
network representation prove to be highly useful in studying such
systems. The goal of this book is to introduce these techniques and
show how they lead to a new systematic way of characterizing and
classifying quantum phases in condensed matter systems. The first
part of the book introduces some basic concepts in quantum
information theory which are then used to study the central topic
explained in Part II: local Hamiltonians and their ground states.
Part III focuses on one of the major new phenomena in strongly
interacting systems, the topological order, and shows how it can
essentially be defined and characterized in terms of entanglement.
Part IV shows that the key entanglement structure of topological
states can be captured using the tensor network representation,
which provides a powerful tool in the classification of quantum
phases. Finally, Part V discusses the exciting prospect at the
intersection of quantum information and condensed matter physics -
the unification of information and matter. Intended for graduate
students and researchers in condensed matter physics, quantum
information science and related fields, the book is self-contained
and no prior knowledge of these topics is assumed.
For most of the last century, condensed matter physics has been
dominated by band theory and Landau's symmetry breaking theory. In
the last twenty years, however, there has been the emergence of a
new paradigm associated with fractionalisation, topological order,
emergent gauge bosons and fermions, and string condensation. These
new physical concepts are so fundamental that they may even
influence our understanding of the origin of light and fermions in
the universe. This book is a pedagogical and systematic
introduction to the new concepts and quantum field theoretical
methods (which have fuelled the rapid developments) in condensed
matter physics. It discusses many basic notions in theoretical
physics which underlie physical phenomena in nature. Topics covered
are dissipative quantum systems, boson condensation, symmetry
breaking and gapless excitations, phase transitions, Fermi liquids,
spin density wave states, Fermi and fractional statistics, quantum
Hall effects, topological and quantum order, spin liquids, and
string condensation. Methods covered are the path integral, Green's
functions, mean-field theory, effective theory, renormalization
group, bosonization in one- and higher dimensions, non-linear
sigma-model, quantum gauge theory, dualities, slave-boson theory,
and exactly soluble models beyond one-dimension. This book is aimed
at teaching graduate students and bringing them to the frontiers of
research in condensed matter physics.
|
You may like...
Hampstead
Diane Keaton, Brendan Gleeson, …
DVD
R66
Discovery Miles 660
|