تقرير
Open Quadratic Fermion Systems and Algebras of Affine Transformations
| العنوان: | Open Quadratic Fermion Systems and Algebras of Affine Transformations |
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| المؤلفون: | Tamura, Hiroshi |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics |
| الوصف: | We study evolution of open quadratic fermion systems in the framework of the quantum Markovian semigroup approach. We show that the algebra concerning commutators of Liouvillians for systems of quadratic interacting fermions of finite number, say $\mathcal{N}$, is isomorphic to that of certain affine transformations on the space of square matrices of size $\mathcal{N}$. By the use of this algebraic structure, we present a perspective method for solving master equations of quadratic fermion systems. Here, we mainly deal with gauge invariant quadratic interacting fermion systems. We briefly mention similar algebraic structures for general quadratic fermion systems and quadratic boson systems. Keywords : open quantum system, Markovian quantum dynamical system, quadratic interacting Fermion, affine transformation, asymptotic behavior, skin effect |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2301.06069 |
| رقم الأكسشن: | edsarx.2301.06069 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |