Phase separation in optical lattices in a spin-dependent external potential

We investigate the phase separation in one-dimensional Fermi gases on optical lattices. The density distributions and the magnetization are calculated by means of density-matrix renormalization method. The phase separation between spin-up and spin-down atoms is induced by the interplay of the spin-dependent harmonic confinement and the strong repulsive interaction between intercomponent fermions. We find the existence of a critical repulsive interaction strength above which the phase separation evolves. By increasing the trap imbalance, the composite phase of Mott-insulating core is changed into the one of ferromagnetic insulating core, which is incompressible and originates from the Pauli exclusion principle.Comment: 6 pages, 7 figure

The Impact of Structural Reforms on Environmental Problems in Agriculture

With the technological advancement in almost every sphere of human life, there has been an increased tendency to focus on the conservation of scarce resources by acquiring higher levels of resource use efficiency in the production process. However, there also remains a visible element of haste in policy planning towards the achievement of these goals, particularly in the developing world. The economic viability of such haste would have been positive had this helped in reducing the social cost of delayed policy actions taken in the preceding period. Conversely, the policy planning efforts continue to be ignorant of long-term consequences of current actions, as well as deficient in integrating various components of the sector or sub-sector of the economy which can not be viewed in isolation. These design defects in policies are largely ignored in post-impact evaluations of programmes, and failures are often incorrectly attributed to implementation, or simply referred to as managerial snags. Nevertheless, these inherent design defects become the primary contributors towards non-sustainability of development programmes. Pakistan’s agriculture, with its declining share in the economy over time, is still the single largest sector accounting for 23 percent in the GDP. Whereas its share has steadily declined in favour of rising manufacturing and services sectors, its rate of growth has remained rather erratic.

Parametric mode-mode coupling between drift waves in plasmas

Parametric mode-mode coupling between drift waves in plasma

Fermi-surface reconstruction in a smectic phase of a high temperature superconductor

It is shown that, in the presence of a moderately strong C_4 symmetry breaking (which could be produced either by lattice orthorhombicity or the presence of an electron nematic phase), a weak, period 4, unidirectional charge density wave ("charge stripe") order can reconstruct the Fermi surface of a typical hole-doped cuprate to produce a small electron pocket. This form of charge density wave order is consistent with that adduced from recent high field NMR experiments in YBCO. The Fermi pocket has an area and effective mass which is a rough caricature of those seen in recent high field quantum oscillation experiments.Comment: 4 pages, 2 figures, minor change