Nonsmooth and level-resolved dynamics illustrated with a periodically driven tight binding model
Abstrak
We point out that in the first order time-dependent perturbation theory, the transition probability may behave nonsmoothly in time and have kinks periodically. Moreover, the detailed temporal evolution can be sensitive to the exact locations of the eigenvalues in the continuum spectrum, in contrast to coarse-graining ideas. Underlying this nonsmooth and level-resolved dynamics is a simple equality about the sinc function $\sinc x \equiv \sin x / x$. These physical effects appear in many systems with approximately equally spaced spectra, and is also robust for larger-amplitude coupling beyond the domain of perturbation theory. We use a one-dimensional periodically driven tight-binding model to illustrate these effects, both within and outside the perturbative regime.
Topik & Kata Kunci
Penulis (1)
Masudul Haque
Akses Cepat
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Cek di sumber asli →- Tahun Terbit
- 2014
- Sumber Database
- DOAJ
- DOI
- 10.14293/S2199-1006.1.SOR-PHYS.A2CEM4.v1
- Akses
- Open Access ✓