Information, Deformed -Wehrl Entropies and Semiclassical Delocalization
نویسندگان
چکیده
Semiclassical delocalization in phase space constitutes a manifestation of the Uncertainty Principle, one indispensable part of the present understanding of Nature and the Wehrl entropy is widely regarded as the foremost localization-indicator. We readdress the matter here within the framework of the celebrated semiclassical Husimi distributions and their associated Wehrl entropies, suitably κ−deformed. We are able to show that it is possible to significantly improve on the extant phase-space classical-localization power.
منابع مشابه
Fisher Information and Semiclassical Treatments
We review here the difference between quantum statistical treatments and semiclassical ones, using as the main concomitant tool a semiclassical, shift-invariant Fisher information measure built up with Husimi distributions. Its semiclassical character notwithstanding, this measure also contains abundant information of a purely quantal nature. Such a tool allows us to refine the celebrated Lieb ...
متن کاملRényi–wehrl Entropies as Measures of Localization in Phase Space
We generalize the concept of the Wehrl entropy of quantum states which gives a basis–independent measure of their localization in phase space. We discuss the minimal values and the typical values of these Rényi–Wehrl entropies for pure states for spin systems. According to Lieb’s conjecture the minimal values are provided by the spin coherent states. Though Lieb’s conjecture remains unproven, w...
متن کاملTemperature Effects, Frieden-Hawkins' Order-Measure, and Wehrl Entropy
We revisit the Frieden–Hawkins’ Fisher order measure with a consideration of temperature effects. To this end, we appeal to the semiclassical approach. The order-measure’s appropriateness is validated in the semiclassical realm with regard to two physical systems. Insight is thereby gained with respect to the relationships amongst semiclassical quantifiers. In particular, it is seen that Wehrl’...
متن کاملVon Neumann and Shannon-wehrl Entropy for Squeezed States and Cosmological Particle Production
We show that the effective coarse graining of a two-mode squeezed density matrix, implicit in the Wehrl approaches to a semiclassical phase-space distribution, leads to results in agreement with previous different definitions of entropy for the process of pair production from the vacuum. We also present, in this context, a possible interpretation of the entropy growth as an amplification (due t...
متن کاملVon Neumann and Shannon-wehrl Entropy for Squeezed States and Cosmological Particle Production Von Neumann and Shannon-wehrl Entropy for Squeezed States and Cosmological Particle Production
We show that the eeective coarse graining of a two-mode squeezed density matrix, implicit in the Wehrl approaches to a semiclassical phase-space distribution, leads to results in agreement with previous diierent deenitions of entropy for the process of pair production from the vacuum. We also present, in this context, a possible interpretation of the entropy growth as an ampliication (due to th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Entropy
دوره 11 شماره
صفحات -
تاریخ انتشار 2009