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The article consists of the Russian and English variants of Ph.D. Thesis in which the answers is given on the following questions.
Abstract: We investigate the long-term dynamics of spin textures prepared by cooling unmagnetized spinor gases of F=1 $^{87}$Rb to quantum degeneracy, observing domain coarsening and a strong dependen...
Abstract: Using a new proposal for the "picture lowering" operators, we compute the tree level scattering amplitude in the minimal pure spinor formalism by performing the integration over the pure spi...
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...
The tree-level amplitude of six massless open strings is computed using the pure spinor formalism. The OPE poles among integrated and unintegrated vertices can be efficiently organized according to th...
We investigate the St¨uckelberg oscillations of a spin-1 Bose-Einstein condensate subject to a spatially inhomogeneous transverse magnetic field and a periodic longitudinal field. We show that the ti...
In this work, we theoretically construct exact mappings of many-particle bosonic systems onto quantum rotor models. In particular, we analyze the rotor representation of spinor Bose-Einstein condensa...
We study the ground state phases for a mixture of two atomic spin-1 Bose-Einstein condensates (BECs) in the presence of a weak magnetic (B-) field. The ground state is found to contain a broken-axis...
The concept of phase space amplitudes for systems with continuous degrees of freedom is generalized to finite-dimensional spin systems. Complex amplitudes are obtained on both a sphere and a finite la...
We propose a scheme for the realization of a quantum walker and a quantum simulator for the Dirac equation with ultracold spinor atoms in driven optical lattices. A precise control of the dynamics of ...
We report on the spin textures produced by cooling unmagnetized $^{87}$Rb F=1 spinor gases into the regime of quantum degeneracy. At low temperatures, magnetized textures form that break translational...
2007Vol.47No.5pp.875-878DOI: Vector and Spinor Decomposition of SU(2) Gauge Potential, Their Equivalence, and Knot Structure in SU(2) Chern-Simons Theory DUAN Yi-Shi, REN Ji-Rong,...
2007Vol.47No.5pp.777-780DOI: Spin Accumulation of Spinor Atoms in Optical Lattices LI Hong and JIANG Zhan-Feng Beijing National Laboratory for Condensed Matter Physics,...
2006Vol.46No.4pp.675-678DOI: Spinor Field Realizations of Non-critical W2,4 String Based on Linear W1,2,4 Algebra ZHANG Li-Jie1 and LIU Yu-Xiao2 1 Department of Mathema...
2006Vol.45No.2pp.287-292DOI: Quantum Correlation of Many Atoms in Spinor Bose-Einstein Condensates YU Zhao-Xian,1,2 LIANG Jiu-Qing,1 and JIAO Zhi-Yong2 1 Institute of T...

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