Quantum Depletion of a Soliton Condensate

Details Quantum Depletion of a Soliton Condensate Quantum Depletion of a Soliton Condensate

2006-04-25

arxiv.org/abs/cond-mat/0604565v1

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.

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