Localization vs. delocalization of random discrete measures
نویسندگان
چکیده
منابع مشابه
Localization-Delocalization Transitions in Bosonic Random Matrix Ensembles
Localization to delocalization transitions in eigenfunctions are studied for finite interacting boson systems by employing oneplus two-body embedded Gaussian orthogonal ensemble of random matrices [EGOE(1+2)]. In the first analysis, considered are bosonic EGOE(1+2) for two-species boson systems with a fictitious (F ) spin degree of freedom [BEGOE(1+2)-F ; ’B’ for bosons]. Here, the two projecti...
متن کاملDelocalization in Random Landau Hamiltonians
We prove the existence of dynamical delocalization for random Landau Hamiltonians near each Landau level. Since typically there is dynamical localization at the edges of each disordered-broadened Landau band, this implies the existence of at least one dynamical mobility edge at each Landau band, namely a boundary point between the localization and delocalization regimes, which we prove to conve...
متن کاملDelocalization in random polymer models
A random polymer model is a one-dimensional Jacobi matrix randomly composed of two finite building blocks. If the two associated transfer matrices commute, the corresponding energy is called critical. Such critical energies appear in physical models, an example being the widely studied random dimer model. It is proven that the Lyapunov exponent vanishes quadratically at a generic critical energ...
متن کاملGeneralized entanglement as a framework for complex quantum systems: Purity vs delocalization measures
We establish contact between the delocalization properties of pure quantum states, as quantified by their number of principal components, and the average generalized entanglement properties, as quantified by purity measures relative to different observable sets. We find that correlations between products of state vector components with respect to Hamming distance play an important role in the s...
متن کاملLocalization-delocalization transition in a presence of correlated disorder: The Random Dimer Model
The one dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at Ec = ǫa,b of two possible values of the chemical potential in case of | ǫa − ǫb |≤ 2 is confirmed and the corresponding indices of the localization length were calculated. The singular integral equation connecting the density of states with the Lyapunov exponent ...
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: Теория вероятностей и ее применения
سال: 1998
ISSN: 0040-361X
DOI: 10.4213/tvp2028