Bound and anti-bound soliton states for a quantum integrable derivative nonlinear Schrodinger model

Abstract

We find that localized quantum N-body soliton states exist for a derivative nonlinear Schrodinger (DNLS) model within an extended range of coupling constant (ξ_q) given by 0 < | ξ_q | < 1/\hbar \tan [π/(N-1)]. We also observe that soliton states with both positive and negative momentum can appear for a fixed value of ξ_q. Thus the chirality property of classical DNLS solitons is not preserved at the quantum level. Furthermore, it is found that the solitons with positive (negative) chirality have positive (negative) binding energy.

arXiv commentLaTeX, 11 pages, no figures

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• Algebraic Bethe ansatz for a quantum integrable derivative nonlinear Schrodinger model
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Cited by in corpus (6)

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• Quantum bound states for a derivative nonlinear Schrodinger model and number theory
• Clusters of bound particles in a quantum integrable many-body system and number theory
• Clusters of bound particles in the derivative delta-function Bose gas
• Fermionic dual of one-dimensional bosonic particles with derivative delta function potential