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Quantum Depletion of a Soliton Condensate

Other Condensed Matter 2009-11-11 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0604565,
  title  = {Quantum Depletion of a Soliton Condensate},
  author = {Guoxiang Huang and L. Deng and Jiaren Yan and Bambi Hu},
  journal= {arXiv preprint arXiv:cond-mat/0604565},
  year   = {2009}
}

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11 pages