تقرير
Spectral singularities in PT-symmetric Bose-Einstein condensates
العنوان: | Spectral singularities in PT-symmetric Bose-Einstein condensates |
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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 |
DOI: | 10.1088/1751-8113/46/27/275307 |
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