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Quantum depletion of a soliton condensate

Published

Author(s)

Lu Deng, Guoxiang Huang

Abstract

We present rigorous results on the diagonalization of Bogoliubov Hamiltonian for a soliton condensate. Using the complete and orthonormalized set of eigenfunction for the Bogoliubov–de Gennes equations, we calculate exactly the quantum depletion of the condensate and show that two degenerate zero-modes, which originate from a U(1) gauge- and a translational-symmetry breaking of the system, induce the quantum diffusion and transverse instability of the soliton condensate.
Citation
Physics Letters
Volume
357
Issue
N/A

Keywords

Bose Einstein Condensation, solitons

Citation

Deng, L. and Huang, G. (2006), Quantum depletion of a soliton condensate, Physics Letters, [online], https://doi.org/10.1016/j.physleta.2006.04.023 (Accessed July 18, 2024)

Issues

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Created April 25, 2006, Updated June 2, 2021