Spectral singularities in PT-symmetric Bose-Einstein condensates

التفاصيل البيبلوغرافية
العنوان: Spectral singularities in PT-symmetric Bose-Einstein condensates
المؤلفون: Heiss, W. D., Cartarius, H., Wunner, G., Main, J.
المصدر: J. Phys. A: Math. Theor. 46 (2013) 275307
سنة النشر: 2013
المجموعة: Condensed Matter
Nonlinear Sciences
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Quantum Gases, Nonlinear Sciences - Chaotic Dynamics
الوصف: We consider the model of a PT-symmetric Bose-Einstein condensate in a delta-functions double-well potential. We demonstrate that analytic continuation of the primarily non-analytic term |psi|^2 psi - occurring in the underlying Gross-Pitaevskii equation - yields new branch points where three levels coalesce. We show numerically that the new branch points exhibit the behaviour of exceptional points of second and third order. A matrix model which confirms the numerical findings in analytic terms is given.
Comment: 15 pages, 9 figures, modifications in Figs. 1 and 2, additions in the text, to be published in J. Phys. A
نوع الوثيقة: Working Paper
DOI: 10.1088/1751-8113/46/27/275307
URL الوصول: http://arxiv.org/abs/1303.0132
رقم الأكسشن: edsarx.1303.0132
قاعدة البيانات: arXiv
الوصف
DOI:10.1088/1751-8113/46/27/275307