اثر ناهمسانگردی بردرهم تنیدگی مگنونی در آنتی فرومغناطیس ها

عظیمی موصلو, وحید

doi:10.22055/jrmbs.2021.16790

اثر ناهمسانگردی بردرهم تنیدگی مگنونی در آنتی فرومغناطیس ها

نوع مقاله : مقاله پژوهشی کامل

نویسنده

وحید عظیمی موصلو ¹^{، 2}^{، 3}

¹ گروه ریاضی کاربردی و علوم کامپیوتر، دانشکده ریاضی و آمار، دانشگاه اصفهان، اصفهان، ایران

² پژوهشکده ریاضیات، پژوهشگاه دانش‌های بنیادی، تهران، ایران

³ Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 20 Uppsala, Sweden

10.22055/jrmbs.2021.16790

چکیده

در هم تنیدگی یکی از مفاهیم بنیادین کوانتومی است که نه تنها مکانیک کوانتومی را به صورت معنا دار از همتای کلاسیک آن متمایز می کند بلکه نقش های کلیدی در تکنولوژی های محاسبات، پردازش و ارتباطات کوانتومی ایفا می کند. در اینجا ما به بررسی نقش ناهمسانگردی در درهم تنیدگی متغییرهای پیوسته بین مد های مگنونی در آنتی فرو مغناطیس ها می پردازیم. با معرفی نمایش های بوزونی متفاوت نشان داده می شود که ناهمسانگردی توزیع های متفاوتی از درهم تنیدگی مگنونی در حالت پایه سیستم دارد. در حالی که ناهمسانگردی در برخی از این توزیع ها نقش کاهشی دارد در برخی دیگر اثر افزایشی از خود نشان می دهد. علاوه بر این نشان داده می شود که بیشترین درهم تنیدگی در مرکز منطقه بریلوئن قابل دسترس است

کلیدواژه‌ها

موضوعات

فیزیک اطلاعات کوانتومی

عنوان مقاله [English]

Anisotropy effect on magnon entanglement in antiferromagnets

نویسنده [English]

Vahid Azimi Mousolou ¹ ² ³

¹ Faculty member, Department of Applied Mathematics and Computer Science, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan 81746-73441, Iran|2School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran|Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 20 Uppsala, Sweden

² Faculty member, Department of Applied Mathematics and Computer Science, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan 81746-73441, Iran|2School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran|Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 20 Uppsala, Sweden

³ Faculty member, Department of Applied Mathematics and Computer Science, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan 81746-73441, Iran|2School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran|Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 20 Uppsala, Sweden

چکیده [English]

Entanglement is one of the fundamental quantum concepts that not only distinguishes quantum mechanics from its classical counterpart but also plays important roles in quantum communication and information processing technologies. Here, we aim to study anisotropy contributions of continuous variable entanglement between magnon modes in antiferromagnets. By introducing different bosonic modes, it is shown that the magnetic uniaxial anisotropy induces different entanglement contributions in the ground state of the system. While some of these contributions appear to be decreasing with respect to anisotropy, the other contributions are increasing as functions of anisotropy. It is also shown that the maximum magnon entanglement is always at the centre of Brillouin zone. The analysis presented here is independent of geometric lattice structure and appropriate for many classes of compounds.

کلیدواژه‌ها [English]

Anisotropy
Entanglement
Continuous variable entanglement
Magnon
Antiferromagnet

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