Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-04-25
Physics
Condensed Matter
Other Condensed Matter
11 pages
Scientific paper
10.1016/j.physleta.2006.04.023
We present rigorous results on the diagonalization of Bogoliubov Hamilto- nian for a soliton condensate. Using the complete and orthonomalized set of eigenfunction for the Bogoliubov de Gennes equations, we calculate ex- actly the quantum depletion of the condensate and show that two degenerate zero-modes, which originate from a U(1) guage- and a translational-symmetry breaking of the system, induce the quantum diffusion and transverse instabil- ity of the soliton condensate.
Deng Licai
Hu Beilai
Huang Guoxiang
Yan Jiaren
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