We propose a versatile optical ring lattice suitable for trapping cold and quantum degenerate atomic samples. We demonstrate the realisation of intensity patterns from pairs of Laguerre-Gauss (exp(i??) modes with different ? indices. These patterns can be rotated by introducing a frequency shift between the modes. We can generate bright ring lattices for trapping atoms in red-detuned light, and...

Let Ar be the minimal resolution of the type Ar surface singularity. We study the equivariant quantum cohomology ring of the n-fold symmetric product stack [Sym(Ar)] of Ar. We calculate the operators of quantum multiplication by divisor classes. Under the assumption of the nonderogatory conjecture, these operators completely determine the ring structure, which gives an affirmative answer to the...

The transfer of charge between different regions of a phase-coherent mesoscopic sample is investigated. Charge transfer from a side branch quantum dot into a ring changes the persistent current through a sequence of plateaus of diamagnetic and paramagnetic states. In contrast, a quantum dot embedded in a ring exhibits sharp resonances in the persistent current, whose sign is independent of the ...

We study the persistent currents induced by both the Aharonov-Bohm and Aharonov-Casher effects in a one-dimensional mesoscopic ring coupled to a sidebranch quantum dot at Kondo resonance. For privileged values of the Aharonov-Bohm-Casher fluxes, the problem can be mapped onto an integrable model, exactly solvable by a Bethe ansatz. In the case of a pure magnetic Aharonov-Bohm flux, we find that...

In this paper we calculate the eeects of a linearly varying focusing eld on radiation damping and quantum excitation to the transverse emittances in an electron storage ring by using a quantum mechanical perturbation approach. This method allows for arbitrarily strong focusing environment and correctly predicts the limits of both pure bending and pure focusing. We nd that transverse excitation ...

Spectral properties of 2, 6, 6-trimethyl-3-carbmethoxy-4-phenyl-5-oxo -1,4,5,6,7,8-hexahydroquinoline derivatives (HHQ) with different substituents in the phenyl ring (-Cl, -NO2, -CF3, -CH3, -OCH3) have been studied. Their emission and absorption spectra have been analyzed and quantum yields of emission were determined. The quantum yield of emission was found to depend on the kind, number, and ...

Systematic properties of the first excited state are presented for various ring sizes and spin quantum numbers which are only partly covered by the theorem of Lieb, Schultz and Mattis. For odd ring sizes the first excited energy eigenvalue shows unexpected degeneracy and related shift quantum numbers. As a byproduct the ground state energy as well as the energy of the first excited state of inf...

Massless elementary-particle propagation is represented historically (cosmologically) through 3-scale “towers of quartet rings” within a lattice of magneto-electrodynamically communicating “pre-events”. The lightlike intervals within a ring of 4 pre-events (discrete “closed string”) display transverse GUT-scale and longitudinal “particle scale”. The lightlike (longitudinal) spacing between succ...