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 …

The rise of quantum information science has opened up a new venue for applications of the
geometric phase (GP), as well as triggered new insights into its physical, mathematical, and …

Various fundamental phenomena of strongly correlated quantum systems such as high-T c
superconductivity, the fractional quantum-Hall effect and quark confinement are still awaiting …

Quantum adiabatic passages can be greatly accelerated by a suitable control field, called a
counter-diabatic field, which varies during the scan through resonance. Here, we implement …

We investigate a nonadiabatic holonomic operation that enables us to entangle two fixed-
frequency superconducting transmon qubits attached to a common bus resonator. Two …

We experimentally investigate the effects of noise on the adiabatic and cyclic geometric
phase, also termed the Berry phase. By introducing artificial fluctuations in the path of the …

The geometric phase can be used as a fruitful venue of investigation to infer features of the
quantum systems. Its application can reach new theoretical frontiers and imply innovative …

Steering a quantum harmonic oscillator state along cyclic trajectories leads to a path-
dependent geometric phase. Here we describe its experimental observation in an electronic …

We study, in the framework of open quantum systems, the geometric phase acquired by a
uniformly accelerated two-level atom undergoing nonunitary evolution due to its coupling to …

We consider a quantum limit-cycle oscillator implemented in a spin system whose
quantization axis is slowly rotated. Using a kinematic approach to define geometric phases …