کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10720651 | 1031245 | 2013 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Lipkin-Meshkov-Glick model as a particular limit of the SU(1,1) Richardson-Gaudin integrable models
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The Lipkin-Meshkov-Glick model as a particular limit of the SU(1,1) Richardson-Gaudin integrable models The Lipkin-Meshkov-Glick model as a particular limit of the SU(1,1) Richardson-Gaudin integrable models](/preview/png/10720651.png)
چکیده انگلیسی
The Lipkin-Meshkov-Glick (LMG) model has a Schwinger boson realization in terms of a two-level boson pairing Hamiltonian. Through this realization, it has been shown that the LMG model is a particular case of the SU(1,1) Richardson-Gaudin (RG) integrable models. We exploit the exact solvability of the model to study the behavior of the spectral parameters (pairons) that completely determine the wave function in the different phases, and across the phase transitions. Based on the relation between the Richardson equations and the Lamé ordinary differential equation we develop a method to obtain numerically the pairons. The dynamics of pairons in the ground and excited states provide new insights into the first, second and third order phase transitions, as well as into the crossings taking place in the LMG spectrum.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 870, Issue 2, 11 May 2013, Pages 421-443
Journal: Nuclear Physics B - Volume 870, Issue 2, 11 May 2013, Pages 421-443
نویسندگان
S. Lerma H., J. Dukelsky,