کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5495912 | 1529833 | 2017 | 65 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Matrix product density operators: Renormalization fixed points and boundary theories
ترجمه فارسی عنوان
اپراتورهای تراکم محصول ماتریکس: نقاط ثابت مجدد و نظریه های مرزی
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
چکیده انگلیسی
We consider the tensors generating matrix product states and density operators in a spin chain. For pure states, we revise the renormalization procedure introduced in (Verstraete et al., 2005) and characterize the tensors corresponding to the fixed points. We relate them to the states possessing zero correlation length, saturation of the area law, as well as to those which generate ground states of local and commuting Hamiltonians. For mixed states, we introduce the concept of renormalization fixed points and characterize the corresponding tensors. We also relate them to concepts like finite correlation length, saturation of the area law, as well as to those which generate Gibbs states of local and commuting Hamiltonians. One of the main result of this work is that the resulting fixed points can be associated to the boundary theories of two-dimensional topological states, through the bulk-boundary correspondence introduced in (Cirac et al., 2011).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 378, March 2017, Pages 100-149
Journal: Annals of Physics - Volume 378, March 2017, Pages 100-149
نویسندگان
J.I. Cirac, D. Pérez-GarcÃa, N. Schuch, F. Verstraete,