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

TL;DR

This paper investigates quantum soliton states in the derivative nonlinear Schrödinger model, revealing conditions for their existence, their momentum properties, and the relationship between chirality and binding energy.

Contribution

It identifies the parameter range for quantum soliton states and shows that quantum chirality differs from classical behavior, with implications for their energy properties.

Findings

Quantum N-body soliton states exist within a specific coupling range.

Solitons with both positive and negative momentum can occur at fixed coupling.

Positive (negative) chirality solitons have positive (negative) binding energy.

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 (\xi_q) given by 0 < | \xi_q | < 1/\hbar \tan [\pi/(N-1)]. We also observe that soliton states with both positive and negative momentum can appear for a fixed value of \xi_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.