Soliton defects in one-gap periodic system and exotic supersymmetry

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F14%3A00486382" target="_blank" >RIV/61389005:_____/14:00486382 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1103/PhysRevD.90.125041" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.90.125041</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.90.125041" target="_blank" >10.1103/PhysRevD.90.125041</a>

Result language

angličtina

Original language name

Soliton defects in one-gap periodic system and exotic supersymmetry

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Physical Review D: Particles, Fields, Gravitation and Cosmology

ISSN

1550-7998

e-ISSN

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Volume of the periodical

90

Issue of the periodical within the volume

12

Country of publishing house

US - UNITED STATES

Number of pages

29

Pages from-to

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UT code for WoS article

000349852000007

EID of the result in the Scopus database

2-s2.0-84920194705