کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8201265 | 1529817 | 2018 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Three-parametric family of non-Hermitian but PT-symmetric six-by-six matrix Hamiltonians H(6)(x,y,z) is considered. The PT-symmetry remains spontaneously unbroken (i.e., the spectrum of the bound-state energies remains real so that the unitary-evolution stability of the quantum system in question is shown guaranteed) in a non-empty domain D(physical) of parameters x,y,z. The construction of the exceptional-point (EP) boundary âD(physical) of the physical domain is preformed using an innovative non-numerical implicit-function-construction strategy. The topology of the resulting EP boundary of the spontaneous PT-symmetry breakdown (i.e., of the physical “horizon of stability”) is shown similar to its much more elementary N=4 predecessor. Again, it is shown to consist of two components, viz., of the region of the quantum phase transitions of the first kind (during which at least some of the energies become complex) and of the quantum phase transitions of the second kind (during which some of the level pairs only cross but remain real).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 394, July 2018, Pages 40-49
Journal: Annals of Physics - Volume 394, July 2018, Pages 40-49
نویسندگان
Miloslav Znojil, Denis I. Borisov,