For a periodic Hamiltonian, periodic dynamical invariants may be used to obtain non-degenerate cyclic states. This observation is generalized to the degenerate cyclic states, and the relation between the periodic dynamical invariants and the Floquet decompositions of the time-evolution operator is elucidated. In particular, a necessary condition for the occurrence of cyclic non-adiabatic non-Ab...

[1] Periodic modulation of magnetospheric phenomena at Earth and Jupiter results principally from the tilt of the dipole axis relative to the rotation axis. Saturn’s nearly aligned dipole moment is tilted by less than 0.5 from the spin axis, yet the power of radiofrequency emissions, the orientation of the magnetic field, and many properties of the magnetospheric plasma vary periodically at the...

We design a partially aperiodic, vertically-aligned silicon nanowire array that maximizes photovoltaic absorption. The optimal structure is obtained using a random walk algorithm with transfer matrix method based electromagnetic forward solver. The optimal, aperiodic structure exhibits a 2.35 times enhancement in ultimate efficiency compared to its periodic counterpart. The spectral behavior mi...

We use the resonant dipole-dipole interaction between Rydberg atoms and a periodic external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The are placed in one-dimensional (1D) two-dimensional (2D) arrays of optical tweezers. As illustrations, we apply this engineering two iconic situations physics: Heisenberg model square transport 1D. first benchmark Hamiltonian...

We simulated the remagnetization dynamics of the ultra-dense and ultra-thin magnetic dot array system with dipole-dipole and exchange coupling interactions. Within the proposed 2D XY superlattice model, the square dots are modeled by the spatially modulated exchange-couplings. The dipole-dipole interactions were approximated by the hierarchical sums and dynamics was reduced to damping term of t...

A large square array of thin dipoles has a well-behaved scan resistance over a wide bandwidth. Such an array requires reactance matching with frequency, but not with scan angles. The scan element pattern (SEP) shows only small changes over a 5 : 1 bandwidth. However, a dipole/screen array is suitable for wide-band scan only in the H-plane.

The detection of a dipole anisotropy in the sky distribution of sources in large-scale radio surveys can be used to constrain the magnitude and direction of our local motion with respect to an isotropically distributed extragalactic radio source population. Such a population is predicted to be present at cosmological redshifts in an isotropically expanding universe. The extragalactic radio sour...

We present a probe factor for a simple measurement device, which can be used to determine in-situ electrical resistivity in soils or other penetrable bodies. The probe is primarily sensitive to the material immediately surrounding it and therefore is ideal for determining localized conductivities. The geometry of the probe can be scaled to effectively adjust the region of interest. The calibrat...

The stability of dynamic dipole-dipole interactions in a quantum dot array is estimated, and a novel solid state quantum CCN (controlled controlled not) gate having a block structure of quantum dot array is proposed. Quantum mechanical coherence is expected to be maintained, and both the bit error and the phase error are reduced by the ensemble effects in the block. The overall process of quant...