We study the effect of magnetic field and geometric confinement on excitons confined to a quantum ring. We use analytical matrix elements of the Coulomb interaction and diagonalize numerically the effective-mass Hamiltonian of the problem. To explore the role of different boundary conditions, we investigate the quantum ring structure with a parabolic confinement potential, which allows the wave...

The m × n quantum grassmannian, G q (m, n), with m ≤ n, is the subalgebra of the algebra O q (M mn) of quantum m × n matrices that is generated by the maximal m×m quantum minors. Several properties of G q (m, n) are established. In particular, a k-basis of G q (m, n) is obtained, and it is shown that G q (m, n) is a noetherian domain of Gelfand-Kirillov dimension m(n − m) + 1. The algebra G q (...

Conjugation coactions of the quantum general linear group on the algebra of quantum matrices have been introduced in an earlier paper and the coinvariants have been determined. In this paper the notion of orbit is considered via co-orbit maps associated with C-points of the space of quantum matrices, mapping the coordinate ring of quantum matrices into the coordinate ring of the quantum general...

We propose a way to discover, in tabletop experiments, spacetime-emergent materials, that is, materials holographically dual higher-dimensional quantum gravity systems under the AdS/CFT. The emergence of holographic spacetime is verified by mathematical imaging transform response function on material. consider theories one-dimensional ring-shaped material and compute scalar source locally put a...

In this paper, we will prove that the quantum ring of the quasi-homogeneous polynomial X p + XYq(p ≥ 2, q > 1) with some admissible symmetry group G defined by Fan-Jarvis-Ruan-Witten theory is isomorphic to the Milnor ring of its mirror dual polynomial X pY + Yq. We will construct an concrete isomorphism between them. The construction is a little bit different in case (p − 1, q) = 1 and case (p...