Energy-level statistics and time relaxation in quantum systems
نویسندگان
چکیده
منابع مشابه
Energy-Level Statistics of Model Quantum Systems: Universality and Scaling in a Lattice-Point Problem
We investigate the statistics of the number N(R, S) of lattice points, n E Z-', in an annular domain /7(R, w) = (R + w)A\RA, where R, w > 0. Here A is a fixed convex set with smooth boundary and w is chosen so that the area of/7(R, w) is S. The statistics comes from R being taken as random (with a smooth density) in some interval [c~ T, c, T], c2 > ct > 0. We find that in the limit T--* oo the ...
متن کاملConstraints on relaxation rates for N-level quantum systems
S. G. Schirmer* and A. I. Solomon Department of Applied Maths and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom Department of Engineering, Division F, Control Group, University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, United Kingdom Department of Physics and Astronomy, The Open University, Milton Keynes, MK7 6AA, United Kingdom L...
متن کاملNon-Gaussian energy level statistics for some integrable systems.
The number of levels with energy less than E of an integrable quantum system with two degrees of freedom is equal to XE+sE', where A, is a constant and s a Auctuating quantity with a non-Gaussian distribution. The probability distribution of s decreases roughly like exp( —s ) when s is large. The number of levels between E and E+zJE is equal to kz JE+rE 'I where r is another lluctuating quantit...
متن کاملeconomic optimization and energy consumption in tray dryers
دراین پروژه به بررسی مدل سازی خشک کردن مواد غذایی با استفاده از هوای خشک در خشک کن آزمایشگاهی نوع سینی دار پرداخته شده است. برای آنالیز انتقال رطوبت در طی خشک شدن به طریق جابجایی، یک مدل لایه نازک برای انتقال رطوبت، مبتنی بر معادله نفوذ فیک در نظر گفته شده است که شامل انتقال همزمان جرم و انرژی بین فاز جامد و گاز می باشد. پروفایل دما و رطوبت برای سه نوع ماده غذایی شامل سیب زمینی، سیب و موز در طی...
15 صفحه اولNonisotropic 3-level Quantum Systems: Complete Solutions for Minimum Time and Minimum Energy
We apply techniques of subriemannian geometry on Lie groups and of optimal synthesis on 2-D manifolds to the population transfer problem in a three-level quantum system driven by two laser pulses, of arbitrary shape and frequency. In the rotating wave approximation, we consider a nonisotropic model i.e. a model in which the two coupling constants of the lasers are different. The aim is to induc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 1997
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.55.6370