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Vortices-induced quantum Röntgen effect in BEC: a consistent approach

Yi-Shi Duan and Ru-Nan Huang

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Through the application of phi-mapping topological theory, the properties of vortices in quantum Röntgen effect are thoroughly studied. The explicit expression of the vorticity is obtained, in which the δ function indicates that the vortices can only stem from the zero points of phi, and the magnetic flux of the consequent monopoles is quantized in terms of the Hopf indices and Brouwer degrees. The evolution of vortex lines is discussed. The reduced dynamic equation and a conserved dynamic quantity on stable vortex lines are obtained.


PACS

03.75.Lm Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations

02.30.Jr Partial differential equations

05.30.Jp Boson systems

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

MSC

81R15 Operator algebra methods (See also 46Lxx, 81T05)

76M23 Vortex methods

37H20 Bifurcation theory (See also 37Gxx)

Subjects

Quantum gases, liquids and solids

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 4 (1 February 2008)

Received 28 September 2007, in final form 6 December 2007

Published 15 January 2008



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