Parametric dependent Hamiltonians, wave functions, random matrix theory, and quantal-classical correspondence
نویسندگان
چکیده
منابع مشابه
Wave packet dynamics in energy space, random matrix theory, and the quantum-classical correspondence
We apply random-matrix-theory (RMT) to the analysis of evolution of wave packets in energy space. We study the crossover from ballistic behavior to saturation, the possibility of having an intermediate diffusive behavior, and the feasibility of strong localization effect. Both theoretical considerations and numerical results are presented. Using quantal-classical correspondence considerations w...
متن کاملQuantum Diffusion and Tunneling with Parametric Banded Random Matrix Hamiltonians
The microscopic origin of dissipation of a driven quantum many body system is addressed in the framework of a parametric banded random matrix approach. We find noticeable violations of the fluctuation–dissipation theorem and we observe also that the energy diffusion has a markedly non–Gaussian character. Within the Feynman–Vernon path integral formalism and in the Markovian limit, we further co...
متن کاملQuantum-classical correspondence in the wave functions of andreev billiards.
We present a classical and quantum mechanical study of an Andreev billiard with a chaotic normal dot. We demonstrate that the nonexact velocity reversal and the diffraction at the edges of the normal-superconductor contact render the classical dynamics of these systems mixed indicating the limitations of a widely used retracing approximation. We point out the close relation between the mixed cl...
متن کاملQuantum chaos, irreversible classical dynamics, and random matrix theory.
The Bohigas-Giannoni-Schmit conjecture stating that the statistical spectral properties of systems which are chaotic in their classical limit coincide with random matrix theory (RMT) is proved. A new semiclassical field theory for individual chaotic systems is constructed in the framework of a nonlinear s model. The low lying modes are shown to be associated with the Perron-Frobenius (PF) spect...
متن کاملRandom Matrix Theory and Classical Statistical Mechanics . I . Vertex Models
A connection between integrability properties and general statistical properties of the spectra of symmetric transfer matrices of the asymmetric eight-vertex model is studied using random matrix theory (eigenvalue spacing distribution and spectral rigidity). For Yang-Baxter integrable cases, including free-fermion solutions, we have found a Poissonian behavior, whereas level repulsion close to ...
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: 2001
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.63.036203