Quantum Depletion of a Soliton Condensate
arXiv:cond-mat/0604565 · doi:10.1016/j.physleta.2006.04.023
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.
arXiv comment11 pages
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- One dimensional Bose-Einstein condensate under the effect of the extended uncertainty principle
- Interacting multiple zero mode formulation and its application to a system consisting of a dark soliton in a condensate