The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Whenever a quantum system undergoes a cyclic evolution governed by a slow change of
parameters, it acquires a phase factor: the geometric phase. Its most common formulations …

In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

Robust edge states and non-Abelian excitations are the trademark of topological states of
matter, with promising applications such as 'topologically protected'quantum memory and …

Topological states of fermionic matter can be induced by means of a suitably engineered
dissipative dynamics. Dissipation then does not occur as a perturbation, but rather as the …

The enormous experimental progress in atomic, molecular, and optical (AMO) physics
during the last decades allows us nowadays to isolate single, a few or even many-body …

By studying the topological invariance and Berry phase in non-Hermitian systems, we reveal
the basic properties of the complex Berry phase and generalize the global Berry phases Q to …

We propose a new class of unconventional geometric gates involving nonzero dynamic
phases, and elucidate that geometric quantum computation can be implemented by using …

Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …

Kinematic Approach to the Mixed State Geometric Phase in Nonunitary Evolution Page 1
Kinematic Approach to the Mixed State Geometric Phase in Nonunitary Evolution DM Tong,1 E …