0486382 - ÚJF 2018 RIV US eng J - Článek v odborném periodiku
Arancibia, A. - Correa, F. - Jakubský, Vít - Guilarte, J. M. - Plyuhchay, M. S.
Soliton defects in one-gap periodic system and exotic supersymmetry.
Physical Review D: Particles, Fields, Gravitation and Cosmology. Roč. 90, č. 12 (2014), č. článku 125041. ISSN 1550-7998. E-ISSN 2470-0029
Institucionální podpora: RVO:61389005
Klíčová slova: hidden nonlinear supersymmetry * quantum mechanics * models
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 4.643, rok: 2014 ; AIS: 1.092, rok: 2014
DOI: https://doi.org/10.1103/PhysRevD.90.125041

By applying Darboux-Crum transformations to the quantum one-gap Lame system, we introduce an arbitrary countable number of bound states into forbidden bands. The perturbed potentials are reflectionless and contain two types of soliton defects in the periodic background. The bound states with a finite number of nodes are supported in the lower forbidden band by the periodicity defects of the potential well type, while the pulse-type bound states in the gap have an infinite number of nodes and are trapped by defects of the compression modulations nature. We investigate the exotic nonlinear N = 4 supersymmetric structure in such paired Schrodinger systems, which extends an ordinary N = 2 supersymmetry and involves two bosonic generators composed from Lax-Novikov integrals of the subsystems. One of the bosonic integrals has a nature of a central charge and allows us to liaise the obtained systems with the stationary equations of the Korteweg-de Vries and modified Korteweg-de Vries hierarchies. This exotic supersymmetry opens the way for the construction of self-consistent condensates based on the Bogoliubov-de Gennes equations and associated with them new solutions to the Gross-Neveu model. They correspond to the kink or kink-antikink defects of the crystalline background in dependence on whether the exotic supersymmetry is unbroken or spontaneously broken.
Trvalý link: http://hdl.handle.net/11104/0281210