We propose that periodically in spaceand time-modulated potentials (dynamic lattices) can efficiently remove the excited (the high-energy and large momentum) components of the trapped Bose-Einstein condensates (BECs) and, consequently, can result in efficient cleaning of the BECs. We prove the idea by numerically solving the mean-field models (the Schrödinger equation for noninteracting condens...

We derive two new integral mass formulas for stationary black holes in EinsteinYang-Mills theory. From these we derive a formula for JΩ − QV , from which it follows immediately that any stationary, nonrotating, uncharged black hole is static and has vanishing electric field on the static slices. In the Einstein-Maxwell case, we have, in addition, the “generalized Smarr mass formula”, for which ...

The study of the so called “genuine” Bose-Einstein correlations (BEC) of three identical charged pions requires the subtraction of the 2nd order BEC of the pion pairs. The OPAL subtraction method used in the BEC study of the π±π±π± system, which utilised mixed charged pions triplets of the data themselves, is investigated in detail. The derivation of the subtraction formula is explained.

In this paper, we analyze phase separation of multi-component Bose-Einstein Condensates (BECs) in the presence of a strong optical lattice. This paper is in threefold. We first prove that when the inter-component scattering lengths go to infinity, phase separation of a multi-component BEC occurs. Furthermore, particles repel each other and form segregated nodal domains. Secondly, we show that t...

We study Einstein lightlike hypersurfaces M of a Lorentzian space form M̃(c) admitting a semi-symmetric non-metric connection subject to the conditions; (1) M is screen conformal and (2) the structure vector field ζ of M̃ belongs to the screen distribution S(TM). The main result is a characterization theorem for such a lightlike hypersurface.

We study axially symmetric monopoles of both the SU(2) Yang-Mills-HiggsDilaton (YMHD) as well as of the SU(2) Einstein-Yang-Mills-Higgs-Dilaton (EYMHD) system. We find that equally to gravity, the presence of the dilaton field can render an attractive phase. We also study the influence of a massive dilaton on the attractive phase in the YMHD system.

Coherent behavior of spinor Bose-Einstein condensates is studied in the presence of a significant uncondensed (normal) component. Normal-superfluid exchange scattering leads to near-perfect local alignment between the spin fields of the two components. We observe that, through this spin locking, spin-domain formation in the condensate is vastly accelerated as the spin populations in the condens...

4 Bohr-Sommerfeld curves and Poincaré series 27 4.1 Bohr-Sommerfeld curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 4.2 Relative Poincaré series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 4.3 Hypercycles and geodesics . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 4.4 Horocycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

A q-analogue of the multiple gamma functions is introduced , and is shown to satisfy the generalized Bohr-Morellup theorem. Furthermore we give some expressions of these function. 1 2 MICHITOMO NISHIZAWA

The dynamics of matter-wave solitons in Bose-Einstein condensates (BEC) is considerably affected by the presence of a thermal cloud and the dynamical depletion of the condensate. Our numerical results, based on the time-dependent Hartree-Fock-Bogoliubov theory, demonstrate the collapse of the attractively interacting BEC via collisional emission of atom pairs into the thermal cloud, which split...