منابع مشابه
Avoided Crossings in Driven Systems
We characterize the avoided crossings in a two-parameter, time-periodic system which has been the basis for a wide variety of experiments. By studying these avoided crossings in the near-integrable regime, we are able to determine scaling laws for the dependence of their characteristic features on the non-integrability parameter. As an application of these results, the influence of avoided cros...
متن کاملNonadiabatic Transitions Through Tilted Avoided Crossings
We investigate the transition of a quantum wave-packet through a onedimensional avoided crossing of molecular energy levels when the energy levels at the crossing point are tilted. Using superadiabatic representations, and an approximation of the dynamics near the crossing region, we obtain an explicit formula for the transition wavefunction. Our results agree extremely well with high precision...
متن کاملDetection of avoided crossings by fidelity
The overlap of eigenstates of two slightly different Hamiltonians, vulgo fidelity, is proposed as an efficient detector of avoided crossings in the energy spectrum. This new application of fidelity is motivated for small model systems and its value for characterising complex quantum spectra is underlined by spectral analyses of many-body Bose–Hubbard systems. Introduction – The enormous progres...
متن کاملBohr-Sommerfeld phases for avoided crossings
on the real line. Here Ĥ = (Ĥi,j)1≤i,j≤N is a matrix of semi-classical pseudodifferential operators of order 0 in 1 variable x with (Ĥi,j) ? = Ĥi,j. For applications, it will be important to consider the case where Ĥ = Ĥμ depends smoothly on a germ of parameters μ ∈ (R, 0). In our previous papers [5, 6], we derived normal forms near the eigenvalues crossings which allow to compute a local scatt...
متن کاملAvoided Band Crossings: Tuning Metal-Insulator Transitions in Chaotic Systems
We show that avoided crossings of energy bands may give rise to a variety of phenomena such as transitions from metal to insulator and vice versa, changes in localization lengths, and changes in the fractal dimension of energy spectra. We explain the occurrence of these phenomena in the kicked Harper model under classically chaotic conditions and predict them to occur in other systems. [S0031-9...
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ژورنال
عنوان ژورنال: Pure and Applied Chemistry
سال: 1975
ISSN: 1365-3075,0033-4545
DOI: 10.1351/pac197541040455