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      Nonsmooth and level-resolved dynamics illustrated with the tight binding model

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          Abstract

          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.

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          Quantum-optical analogies using photonic structures

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            Decay of quantum states in some exactly soluble models

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              Cavity-modified spontaneous emission: From Rabi oscillations to exponential decay

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                Author and article information

                Journal
                16 April 2014
                2015-09-23
                Article
                10.14293/S2199-1006.1.SOR-PHYS.A2CEM4.v1
                1404.4280
                b4965e7f-a7df-4770-a721-dc72c3db4149

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                Link with the Paley-Wiener theorem and another reference is added; any comment is welcome and will be greatly appreciated!
                cond-mat.quant-gas math-ph math.MP quant-ph

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