Topological edge states (TESs), arising from topologically nontrivial phases, provide a powerful toolkit for the architecture design of photonic integrated circuits, since they are highly robust and strongly localized at boundaries topological insulators. It is desirable to be able control TES transport in implementations. Enhancing coupling between TESs finite-size optical lattice capable exch...

This work presents a lossy partial differential acoustic wave equation including fractional derivative terms. It is derived from first principles of physics (mass and momentum conservation) and an equation of state given by the fractional Zener stress-strain constitutive relation. For a derivative order α in the fractional Zener relation, the resulting absorption α(k) obeys frequency power-laws...

A field dependent su(2) gauge transformation connects between the adiabatic and diabatic pictures in the (Landau-Zener-Stueckelberg) level crossing problem. It is pointed out that weak and strong level crossing interactions are interchanged under this transformation, and thus realizing a naive strong and weak duality. A reliable perturbation theory is thus formulated in the both limits of weak ...

We theoretically demonstrate that nuclear spins can be harnessed to coherently control two-electron spin states in a double quantum dot. Hyperfine interactions lead to an avoided crossing between the spin singlet state and the ms=+1 triplet state, T+. We show that a coherent superposition of singlet and triplet states can be achieved using finite-time Landau-Zener-Stückelberg interferometry. In...

Austenite grain growth in microalloyed steels is governed by the coarsening of fine precipitates present at grain boundaries below the grain coarsening temperature. Zener model is widely used in metals to describe the pinning effect of second phase particles precipitated in the matrix. In this work it has been discussed whether grain boundary or volume diffusion is the rate controlling process ...

A Zener±Stroh crack is formed by coalescing a dislocation pileup and therefore is a net dislocation loaded crack. In this paper, the interaction between a Zener±Stroch crack and surrounding cylindrical ®bers in a ®ber-reinforced composite material has been investigated. The crack is located in the matrix and near a ®ber, while the in ̄uence of other ®bers on the crack is considered through the t...

Abstract. It is well known that a particle in a periodic potential with an additional constant force performs Bloch oscillations. Modulating every second period of the potential, the original Bloch band splits into two subbands. The dynamics of quantum particles shows a coherent superposition of Bloch oscillations and Zener tunneling between the subbands, a Bloch-Zener oscillation. Such a syste...

Quantum dots are fruitful systems for studying charge and spin dynamics at the single electron level. In this thesis we explore electron dynamics under strong microwave driving. This reveals a range of interesting non-equlibrium dynamics. We first study Landau-Zener-Stückelberg-Majorana (LZSM) dynamics in a single electron charge qubit. Here we observe the expected multi-photon transition fring...

The ability to combine words into novel sentences has been used to argue that humans have symbolic language production abilities. Critiques of connectionist models of language often center on the inability of these models to generalize symbolically (Fodor & Pylyshyn, 1988; Marcus, 1998). To address these issues, a connectionist model of sentence production was developed. The model had variables...