کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899646 1045111 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some Correlation Functions in Matrix Product Ground States of One-Dimensional Two-State Chains
ترجمه فارسی عنوان
برخی از توابع همبستگی در ماتریس زمین محصولات دولت زنجیره دو جانبه یک بعدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی

Consider one-dimensional chains with nearest neighbour interactions, for which to each site correspond two independent states (say up and down), and the ground state is a matrix product state. It has been shown [23] that for such systems, the ground states are linear combinations of specific vectors which are essentially direct products of specific numbers of ups and downs, symmetrized in a generalized manner. By a generalized manner, it is meant that the coefficient corresponding to the interchange of states of two sites, in not necessarily plus one or minus one, but a phase which depends on the Hamiltonian and the position of the two sites. Such vectors are characterized by a phase χ, the N-th power of which is one (where N is the number of sites), and an integer. Corresponding to χ, there is another integer M which is the smallest positive integer that χM is one. Two classes of correlation functions for such systems (basically correlation functions for such vectors) are calculated. The first class consists of correlation functions of tensor products of one-site diagonal observables; the second class consists of correlation functions of tensor products of less than M one-site observables (but not necessarily diagonal).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 73, Issue 2, April 2014, Pages 201–211
نویسندگان
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