\mathcal {PT}-symmetry breaking in complex nonlinear wave equations and their deformations
نویسندگان
چکیده
منابع مشابه
Observation of PT-symmetry breaking in complex optical potentials.
In 1998, Bender and Boettcher found that a wide class of Hamiltonians, even though non-Hermitian, can still exhibit entirely real spectra provided that they obey parity-time requirements or PT symmetry. Here we demonstrate experimentally passive PT-symmetry breaking within the realm of optics. This phase transition leads to a loss induced optical transparency in specially designed pseudo-Hermit...
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We consider a class of nonlinear Schrödinger / Gross-Pitaveskii (NLS-GP) equations, i.e. NLS with a linear potential. We obtain conditions for a symmetry breaking bifurcation in a symmetric family of states asN , the squared L2 norm (particle number, optical power), is increased. In the special case where the linear potential is a doublewell with well separation L, we estimate Ncr(L), the symme...
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V. Achilleos,1 P. G. Kevrekidis,2 D. J. Frantzeskakis,1 and R. Carretero-González3 1Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 157 84, Greece 2Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA 3Nonlinear Dynamical Systems Group, Computational Sciences Research Center, and Department of Mathematics ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2011
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/44/32/325201