Inhomogeneous Heisenberg spin chain and quantum vortex filament as non-holonomically deformed NLS systems

Autor(es)

Abhinav, Kumar ^[1] ; Guha, Partha ^[2]

Afiliação do(s) autor(es)

^[1] Bilkent Univ, Dept Phys, TR-06800 Ankara - Turkey

^[2] SN Bose Natl Ctr Basic Sci, JD Block, Sect 3, Kolkata 700106 - India

• Tipo de documento: Artigo Científico
• Fonte: European Physical Journal B; v. 91, n. 3 MAR 26 2018.
• Citações Web of Science: 2

Resumo

Through the Hasimoto map, various dynamical systems can be mapped to different integrodifferential generalizations of Nonlinear Schrodinger (NLS) family of equations some of which are known to be integrable. Two such continuum limits, corresponding to the inhomogeneous XXX Heisenberg spin chain {[}J. Phys. C 15, L1305 (1982)] and that of a thin vortex filament moving in a superfluid with drag {[}Eur. Phys. J. B 86, 275 (2013) 86; Phys. Rev. E 91, 053201 (2015)], are shown to be particular non-holonomic deformations (NHDs) of the standard NLS system involving generalized parameterizations. Crucially, such NHDs of the NLS system are restricted to specific spectral orders that exactly complements NHDs of the original physical systems. The specific non-holonomic constraints associated with these integrodifferential generalizations additionally posses distinct semi-classical signature. (AU)

• Processo FAPESP: 16/06560-6 - Dinâmica não-linear e gravidade
• Beneficiário: Betti Hartmann
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional