کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8202088 1529856 2015 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the inclusion of collisional correlations in quantum dynamics
ترجمه فارسی عنوان
در گنجاندن ارتباطات تصادفی در دینامیک کوانتومی
کلمات کلیدی
همبستگی متقابل، فیلد میانگین وابسته به زمان، اعداد شغل، آنتروپی ذرات تک، ماتریسهای تراکم،
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی
We present a formalism to describe collisional correlations responsible for thermalization effects in finite quantum systems. The approach consists in a stochastic extension of time dependent mean field theory. Correlations are treated in time dependent perturbation theory and loss of coherence is assumed at some time intervals allowing a stochastic reduction of the correlated dynamics in terms of a stochastic ensemble of time dependent mean-fields. This theory was formulated long ago in terms of density matrices but never applied in practical cases because of its complexity. We propose here a reformulation of the theory in terms of wave functions and use a simplified 1D model of cluster and molecules allowing to test the theory in a schematic but realistic manner. We illustrate the performance in terms of several observables, in particular global moments of the density matrix and single particle entropy built on occupation numbers. The occupation numbers remain fixed in time dependent mean-field propagation and change when evaluating the correlations, then taking fractional values. They converge asymptotically towards Fermi distributions which is a clear indication of thermalization.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 355, April 2015, Pages 182-203
نویسندگان
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