The waves that describe systems in quantum physics can carry information about how their environment has been altered, for example by forces acting on them. This effect is the geometric phase. It occurs in the optics of polarised light, where it goes back to the 1820s; it influences wave interference; and it provides insight into the spin-statistics relation for identical quantum particles....
We review the idea of fast-forward of adiabatic dynamics proposed by Masuda and Nakamura. This idea has been applied to diverse areas of physics. Here we show that the generation of entangled states is fast-forwarded and speeded up by application of a suitable driving protocol. Then we treat a dynamical system coupled with the dissipative environment. The fast-forward evolution of Gibbs state...
Exceptional points are band-touching points that are unique to non-Hermitian systems[1]. At the exceptional points, two eigenstates coalesce, resulting in square-root dispersion. The emergence of exceptional points is ubiquitous as they are observed for a wide range of systems from quantum systems[2] though meta-materials[3] to geophysical fluid dynamics[4].
In this talk, we discuss topology...
Non-Abelian anyons in the Kitaev spin liquid: stable realization and detectability via lattice defects
Quantum spin liquids (QSLs) are exotic phases of matter characterized by strong entanglement and the absence of magnetic order even at zero temperature [1]. The spin-1/2 Kitaev model is a unique, exactly solvable example that hosts fractionalized excitations—Majorana fermions and Z₂ fluxes...
We study the quantum geometry of a bosonic system with a quantum phase transition from the perspective of the frame bundle structure. The phase boundary appears in the form of a light cone in the parameter space which is regarded as the exceptional surface. We have obtained the complex eigenmodes which diagonalize the Hamiltonian all over the parameter space, enabling us to study analytical...
