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 …

The geometry of quantum states is well established as a basis for understanding the
response of electronic systems to static electromagnetic fields, as exemplified by the theory …

Topological physics relies on the structure of the eigenstates of the Hamiltonians. The
geometry of the eigenstates is encoded in the quantum geometric tensor—comprising the …

We study superconductivity of twisted bilayer graphene with local and nonlocal attractive
interactions. We obtain the superfluid weight and Berezinskii-Kosterlitz-Thouless (BKT) …

We investigate relations between topology and the quantum metric of two-dimensional
Chern insulators. The quantum metric is the Riemannian metric defined on a parameter …

Topological pumps have garnered substantial attention in physics. However, the
requirement for slow evolution speed to satisfy adiabaticity greatly restricts their application …

Non-Hermitian systems can exhibit exotic topological and localization properties. Here we
elucidate the non-Hermitian effects on disordered topological systems using a nonreciprocal …

Understanding the geometric properties of quantum states and their implications in
fundamental physical phenomena is a core aspect of contemporary physics. The quantum …

We study the properties of a weakly interacting Bose-Einstein condensate (BEC) in a flat
band lattice system by using the multiband Bogoliubov theory and discover fundamental …

In Hilbert space, the geometry of the quantum state is identified by the quantum geometric
tensor (QGT), whose imaginary part is the Berry curvature and whose real part is the …