کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1853032 1528823 2014 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On numerical calculation of Rényi entropy for a sphere
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک هسته ای و انرژی بالا
پیش نمایش صفحه اول مقاله
On numerical calculation of Rényi entropy for a sphere
چکیده انگلیسی

We numerically compute the Rényi entropy for four-dimensional free scalar field theory with a spherical entangling surface. As is well known, the Rényi entropy as a function of the boundary area exhibits linear dependence in the leading order. The coefficient of the subleading logarithmic term from our numerical data, as a function of the Rényi order q, agrees nicely with the general prediction of conformal field theory computation. The motivation of this work is also partly to see how the efficiency of numerical computation changes as a function of q  . For q<1q<1 the summation over eigenvalues of reduced density matrix takes longer since the series converges more slowly than for q=1q=1. For q>1q>1 the convergence is faster, but the relative error becomes large as a general trend.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters B - Volume 733, 2 June 2014, Pages 233–236
نویسندگان
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