This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

We introduce two-dimensional topological insulators in proximity to high-temperature
cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers …

The transverse field Ising and XY models (the simplest quantum spin models) provide the
organising principle for the rich variety of interconnected subjects which are covered in this …

Quantum adiabatic processes—that keep constant the populations in the instantaneous
eigenbasis of a time-dependent Hamiltonian—are very useful to prepare and manipulate …

In the course of a nonequilibrium continuous phase transition, the dynamics ceases to be
adiabatic in the vicinity of the critical point as a result of the critical slowing down (the …

Combining physics, mathematics and computer science, topological quantum computation
is a rapidly expanding research area focused on the exploration of quantum evolutions that …

It is proposed that in s-wave superfluids of cold fermionic atoms with laser-field-generated
effective spin-orbit interactions, a topological phase with gapless edge states and Majorana …

We review the quantum fidelity approach to quantum phase transitions in a pedagogical
manner. We try to relate all established but scattered results on the leading term of the …

The existence of edge states and zero-energy modes in vortex cores is a hallmark of
topologically nontrivial phases realized in various condensed-matter systems such as the …