Quantum depletion of a soliton condensate

Published

April 25, 2006

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

Pub Type

Journals

Download Paper

https://doi.org/10.1016/j.physleta.2006.04.023

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 November 29, 2023)