When the Bloch vectors are perpendicularly oriented, the level surfaces of quantum discord of non-X state are formed by three ”tubes” along orthogonal directions. The level surfaces shrink when the Bloch vectors are increased while they expand when the quantum discord are increased. For different Bloch vectors, the tube along one direction may disappear while tubes along other directions may st...

Given an orientable complete hyperbolic 3-manifold of finite volume M we construct a canonical class α(M) in H3(B(SL2(C), T)) with B(SL2(C), T) the SL2(C)-orbit space of the classifying space for a certain family of isotropy subgroups. We prove that α(M) coincides with the Bloch invariant β(M) of M defined by Neumann and Yang in [13], giving with this a simpler proof that the Bloch invariant is...

We study experimentally the Bloch-wave instabilities in optically induced photonic lattices. We reveal two different instability scenarios associated with either the transverse modulational instability of a single Bloch wave or the nonlinear interband coupling between different Bloch waves. We show that the transverse instability is greatly enhanced in the induced lattice in comparison with hom...

An analytic function φ mapping the unit disk into itself is said to belong to the hyperbolic little Bloch class if the ratio (1−|z|2)|φ′(z)|/(1−|φ(z)|2) converges to 0 as |z| → 1, while φ is in the little Bloch space if just the numerator of this expression converges to zero. Several constructions of inner functions in the little Bloch space have recently appeared. In this paper we construct a ...

The coupling between Bloch oscillating electrons and longitudinal optical phonons in a superlattice leads to resonant phonon excitation but no gap in the Bloch-phonon spectrum. In addition, we predict a sharp transition from plasma to Bloch oscillations at nu(B) = 2nu(P). From a microscopic description with phenomenological dampings, we numerically map out the behavior of coupled Bloch-plasmon-...

The experimental observation of Bloch oscillations in solids was long thought to be out of experimental reach. The invention of the semiconductor superlattice has changed this situation decisively. Transport experiments performed in the past two decades have given indirect evidence for the existence of Bloch oscillations. Recently, it has been possible to directly observe Bloch oscillations in ...

We consider Bloch oscillations of ultracold atoms stored in a one-dimensional vertical optical lattice and simultaneously interacting with a unidirectionally pumped optical ring cavity whose vertical arm is collinear with the optical lattice. We find that the feedback provided by the cavity field on the atomic motion synchronizes Bloch oscillations via a mode-locking mechanism, steering the ato...