Topologically protected localised states in spin chains

Topologically protected localised states in spin chains

We consider spin chain families inspired by the Su, Schrieffer and Hegger (SSH) model. We demonstrate explicitly the topologically induced spatial localisation of quantum states in our systems. We present detailed investigations of the effects of random noise, showing that these topologically protected states are very robust against this type of perturbation. Systems with such topological robus...

Topologically protected states in active photonic metamaterials

Background: A topologist is sometimes described as a mathematician who cannot discriminate between a tea cup and a doughnut. This means that topology focuses on global properties such as connectedness instead of geometrical detail, thereby paving the road for a new level of understanding. Topological invariants such as the Euler characteristic for surfaces in R are naturally quantized and do no...

Topologically protected strongly correlated states of photons

Hybrid photonic nanostructures allow the engineering of novel interesting states of light. One recent example is topological photonic crystals where a nontrivial Berry phase of the photonic band structure gives rise to topologically protected unidirectionally-propagating (chiral) edge states of photons. Here we demonstrate that by coupling an array of emitters to the chiral photonic edge state ...

Topologically Protected State Transfer in a Chiral Spin Liquid

Topologically protected quantum state transfer in a chiral spin liquid.

Topology plays a central role in ensuring the robustness of a wide variety of physical phenomena. Notable examples range from the current-carrying edge states associated with the quantum Hall and the quantum spin Hall effects to topologically protected quantum memory and quantum logic operations. Here we propose and analyse a topologically protected channel for the transfer of quantum states be...