کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1857350 1529844 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized microcanonical and Gibbs ensembles in classical and quantum integrable dynamics
ترجمه فارسی عنوان
گروه بندی میکروکانیکال و گیبس در پویایی یکپارچه کلاسیک و کوانتومی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی

We prove two statements about the long time dynamics of integrable Hamiltonian systems. In classical mechanics, we prove the microcanonical version of the Generalized Gibbs Ensemble (GGE) by mapping it to a known theorem and then extend it to the limit of infinite number of degrees of freedom. In quantum mechanics, we prove GGE for maximal Hamiltonians—a class of models stemming from a rigorous notion of quantum integrability understood as the existence of conserved charges with prescribed dependence on a system parameter, e.g. Hubbard UU, anisotropy in the XXZ model etc. In analogy with classical integrability, the defining property of these models is that they have the maximum number of independent integrals. We contrast their dynamics induced by quenching the parameter to that of random matrix Hamiltonians.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 367, April 2016, Pages 288–296
نویسندگان
,