Artigo
PT-symmetry management in oligomer systems
Registro en:
Journal Of Physics A-mathematical And Theoretical. Bristol: Iop Publishing Ltd, v. 46, n. 48, 19 p., 2013.
1751-8113
10.1088/1751-8113/46/48/485101
WOS:000327720300003
Autor
Horne, R. L.
Cuevas, J.
Kevrekidis, P. G.
Whitaker, N.
Abdullaev, F. Kh [UNESP]
Frantzeskakis, D. J.
Resumen
We study the effects of management of the PT-symmetric part of the potential within the setting of Schrodinger dimer and trimer oligomer systems. This is done by rapidly modulating in time the gain/loss profile. This gives rise to a number of interesting properties of the system, which are explored at the level of an averaged equation approach. Remarkably, this rapid modulation provides for a controllable expansion of the region of exact PT-symmetry, depending on the strength and frequency of the imposed modulation. The resulting averaged models are analysed theoretically and their exact stationary solutions are translated into time-periodic solutions through the averaging reduction. These are, in turn, compared with the exact periodic solutions of the full non-autonomous PT-symmetry managed problem and very good agreement is found between the two. US National Science Foundation Alexander von Humboldt Foundation US AFOSR MICINN University of Athens Morehouse Coll, Dept Math, Atlanta, GA 30314 USA Univ Seville, Dept Fis Aplicada 1, Escuela Politecn Super, Grp Fis No Lineal, E-41011 Seville, Spain Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil Int Islamic Univ Malaysia, Fac Sci, Dept Phys, Kuantan 25710, Malaysia Univ Athens, Dept Phys, GR-15784 Athens, Greece Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil US National Science FoundationDMS-0806762 US National Science FoundationCMMI-1000337 US AFOSRFA9550-12-1-0332 MICINNFIS2008-04848