Simulating quantum mechanics is known to be a difficult computational problem, especially
when dealing with large systems. However, this difficulty may be overcome by using some …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

Topological superconductors are novel classes of quantum condensed phases,
characterized by topologically nontrivial structures of Cooper pairing states. On the surfaces …

After a recent series of rapid and exciting developments, the long search for the Majorana
fermion—the elusive quantum entity at the border between particles and antiparticles—has …

The dynamics of a quantum phase transition are explored using slow quenches from the
polar to the broken-axisymmetry phases in a small spin-1 ferromagnetic Bose-Einstein …

In closed quantum systems, dynamical phase transitions are identified by the nonanalytic
behavior of the return probability as a function of time. In this work, we study the nonunitary …

In most lattice models, the closing of a band gap typically occurs at high-symmetry points in
the Brillouin zone. Differently, in the Creutz model—describing a system of spinless fermions …

We explore the salient features of the'Kitaev ladder', a two-legged ladder version of the spin-
1/2 Kitaev model on a honeycomb lattice, by map** it to a one-dimensional fermionic p …

Trapped atomic ion crystals are a leading platform for quantum simulations of spin systems,
with programmable and long-range spin-spin interactions mediated by excitations of …