کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8202663 1529874 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Universality of entanglement creation in low-energy two-dimensional scattering
ترجمه فارسی عنوان
جهانی شدن ایجاد نفوذ در پراکندگی دو بعدی کم انرژی
کلمات کلیدی
گرفتگی انرژی کم پراکندگی، خلوص، دولت گاوسی، دو بعد،
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی
We prove that the entanglement created in the low-energy scattering of two particles in two dimensions is given by a universal coefficient that is independent of the interaction potential. This is strikingly different from the three dimensional case, where it is proportional to the total scattering cross section. Before the collision the state is a product of two normalized Gaussians. We take the purity as the measure of the entanglement after the scattering. We give a rigorous computation, with error bound, of the leading order of the purity at low-energy. For a large class of potentials, that are not-necessarily spherically symmetric, we prove that the low-energy behavior of the purity, P, is universal. It is given by P=1−1(ln(σ/ħ))2E, where σ is the variance of the Gaussians and the entanglement coefficient, E, depends only on the masses of the particles and not on the interaction potential. There is a strong dependence of the entanglement in the difference of the masses. The minimum is when the masses are equal, and it increases strongly with the difference of the masses.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 337, October 2013, Pages 94-110
نویسندگان
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