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Quantum Depletion of a Soliton Condensate

Guoxiang Huang·L. Deng·Jiaren Yan·Bambi Hu
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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.

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Guoxiang Huang, L. Deng, Jiaren Yan, Bambi Hu. 2006-04-25. Quantum Depletion of a Soliton Condensate. https://doi.org/10.1016/j.physleta.2006.04.023

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