Quantum depletion of a soliton condensate

Guoxiang Huang; Lu Deng; Jiaren Yan; Bambi Hu

doi:10.1016/j.physleta.2006.04.023

Quantum depletion of a soliton condensate

Guoxiang Huang^*, Lu Deng, Jiaren Yan, Bambi Hu

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	150-153
Number of pages	4
Journal	Physics Letters A
Volume	357
Issue number	2
DOIs	https://doi.org/10.1016/j.physleta.2006.04.023
Publication status	Published - 4 Sept 2006

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10.1016/j.physleta.2006.04.023

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title = "Quantum depletion of a soliton condensate",

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.",

author = "Guoxiang Huang and Lu Deng and Jiaren Yan and Bambi Hu",

note = "G.H. thanks Prof. L. You for useful discussions and the financial support by NIST. This work was supported in part NSF-China under Grant Nos. 90403008 and 10434060, and by the grants from Hong Kong Research Grants Council (RGC). Publisher copyright: {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

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TY - JOUR

T1 - Quantum depletion of a soliton condensate

AU - Huang, Guoxiang

AU - Deng, Lu

AU - Yan, Jiaren

AU - Hu, Bambi

N1 - G.H. thanks Prof. L. You for useful discussions and the financial support by NIST. This work was supported in part NSF-China under Grant Nos. 90403008 and 10434060, and by the grants from Hong Kong Research Grants Council (RGC). Publisher copyright: © 2006 Elsevier B.V. All rights reserved.

PY - 2006/9/4

Y1 - 2006/9/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33745813870&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2006.04.023

DO - 10.1016/j.physleta.2006.04.023

M3 - Journal article

AN - SCOPUS:33745813870

SN - 0375-9601

VL - 357

SP - 150

EP - 153

JO - Physics Letters A

JF - Physics Letters A

IS - 2

ER -

Quantum depletion of a soliton condensate

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