I review my recent progress and develop a geometrical approach in the quantum with light
as a guide, from the vector potential in classical physics, revealing that topological …

A topological phase can be engineered in quantum physics from the Bloch sphere of a spin-
1/2 showing a hedgehog structure as a result of a radial magnetic field. We elaborate on a …

The quest to identify and observe Majorana fermions in physics and condensed-matter
systems remains an important challenge. Here, we introduce a qubit (spin-1/2) from the …

We investigate the topological phases of two one-dimensional (1D) interacting
superconducting wires and propose topological markers directly measurable from ground …

To describe a spin-1 2 particle on the Bloch sphere with a radial magnetic field and
topological states of matter from the reciprocal space, we introduce C square (C 2) as a local …

Graphene is a two-dimensional Dirac semimetal showing interesting properties as a result of
its dispersion relation with both quasiparticles and quasiholes or matter and antimatter. We …

We show how the Z 2 topological index of a one-dimensional topological p-wave
superconductor can be revealed when driving with a classical vector potential, ie, an …

The description of interactions in strongly correlated topological phases of matter remains a
challenge. Here, we develop a stochastic functional approach for interacting topological …

The half-quantized Hall phase represents a unique metallic or semi-metallic state of matter
characterized by a fractional quantum Hall conductance, precisely half of an integer ν …

We describe a quantum dynamo effect in a driven system coupled to a harmonic oscillator
describing a cavity mode or to a collection of modes forming an Ohmic bosonic bath. When …