کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7375553 | 1480072 | 2018 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the exact solvability of the anisotropic central spin model: An operator approach
ترجمه فارسی عنوان
در حل دقیق مدل اسپین مرکزی بی نظیر: رویکرد اپراتور
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کلمات کلیدی
مدل گادین، بته آستیتز، رویکرد اپراتور،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
Using an operator approach based on a commutator scheme that has been previously applied to Richardson's reduced BCS model and the inhomogeneous Dicke model, we obtain general exact solvability requirements for an anisotropic central spin model with XXZ-type hyperfine coupling between the central spin and the spin bath, without any prior knowledge of integrability of the model. We outline basic steps of the usage of the operators approach, and pedagogically summarize them into two Lemmas and two Constraints. Through a step-by-step construction of the eigen-problem, we show that the condition gjâ²2âgj2=c naturally arises for the model to be exactly solvable, where c is a constant independent of the bath-spin index j, and {gj} and {gjâ²} are the longitudinal and transverse hyperfine interactions, respectively. The obtained conditions and the resulting Bethe ansatz equations are consistent with that in previous literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 501, 1 July 2018, Pages 308-314
Journal: Physica A: Statistical Mechanics and its Applications - Volume 501, 1 July 2018, Pages 308-314
نویسندگان
Ning Wu,