کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1855062 1529886 2012 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Effective and exact holographies from symmetries and dualities
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Effective and exact holographies from symmetries and dualities
چکیده انگلیسی

The theoretical basis of the phenomenon of effective and exact dimensional reduction, or holographic correspondence, is investigated in a wide variety of physical systems. We first derive general inequalities linking quantum systems of different spatial (or spatio-temporal) dimensionality, thus establishing bounds on arbitrary correlation functions. These bounds enforce an effective dimensional reduction and become most potent in the presence of certain symmetries. Exact   dimensional reduction can stem from a duality that (i) follows from properties of the local density of states, and/or (ii) from properties of Hamiltonian-dependent algebras of interactions. Dualities of the first type (i) are illustrated with large-nn vector theories whose local density of states may remain invariant under transformations that change the dimension. We argue that a broad class of examples of dimensional reduction may be understood in terms of the functional dependence of observables on the local density of states. Dualities of the second type (ii) are obtained via bond algebras, a recently developed algebraic tool. We apply this technique to systems displaying topological quantum order, and also discuss the implications of dimensional reduction for the storage of quantum information.


► Study the phenomenon of dimensional reduction from symmetries and dualities.
► Derive general (dimensional reduction) correlation inequalities.
► Show that a duality exists whenever the inequalities become equalities.
► Apply inequalities and bond algebraic techniques to establish topological order in various systems.
► Show implications of dimensional reduction for the storage of quantum information.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 327, Issue 10, October 2012, Pages 2491–2521
نویسندگان
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