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Register a new userTheoretical Model Of The Two-Level Quantum Systems
نموذج نظري للجمل الكمومية بسويتي طاقة
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Tishreen University ورقة بحثية
Publication date
2013
fields
Physics
and research's language is
العربية
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Shamra Editor
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قدمنا في هذا العمل نموذجاً نظرياً لدراسة اهتزازات جملة كمومية بسويتي طاقة مفترضين وجود تفاعل متبادل بينهما من خلال: أولاً: تمثيل الجملة الكمومية ذات سويتي الطاقة بحفرتي كمون كموميتين لانهائيتين متآثرتين على بعد واحد x و متناظرتين بالنسبة لمبدأ الإحداثيات o، ثمّ إيجاد المتجهات الخاصة و القيم الخاصة لهما باستخدام معادلة شرودنغر المستقرّة Stationary Schrödinger’s equation. ثانياً: إثبات أنّ التقريب غير الاضطرابي كاف لكتابة مؤثر الهاملتوني لهذه الجملة، و لاشتقاق معادلة رابي للجملة Rabi’s equation، و تطبيقها مباشرة على مؤثر التطور للحالة الابتدائية للجملة.
We present a theoretical model for studying the oscillations among two-level quantum system when an interaction term is considered: First, we present the two-level quantum system with a symmetric double square potential well in interaction, in one dimension x, then we find the eigenvectors and the eigenvalues for this system by solving the stationary Schrödinger’s equation. Second, we proved that a non perturbative approach can be conveniently used to write the Hamiltonian operator and to derive the Rabi’s equation for this system, directly applying the time evolution operator to the initial state of the system.
References used
A. Nishino, T. Imamura and N. Hanato, J. Phys.: Conf. Ser. 343, 2012
O. V. Kibis, G. Ya. Slepyan, S. A. Maksimenko and A. Hoffmann, Phys. Rev. Lett., 102, 023601, 2009
U. Hartmann and F. Wilhelm, Phys. Rev. B, 69, 161309(R), 2004
W. Wiel, T. Fujisawa, S. Tarucha and L. Kouwenhoven, Jpn. J. Appl. Phys., Vol. 40, pp. 2100-2104, 2001
B. Rakos, A. I. Csurgay and W. Porod, Superlattices and Microstructures, 34, pp. 503-507, 2003
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