Download Dynamics of Complex Quantum Systems by Vladimir M. Akulin PDF

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By Vladimir M. Akulin

This e-book gathers jointly a number of comparable difficulties that may be encountered in numerous fields of recent quantum physics and that experience universal beneficial properties in regards to multilevel quantum structures. the most motivation used to be to envision from a uniform perspective numerous versions and ways which were constructed in atomic, molecular, condensed subject, chemical, laser and nuclear physics in quite a few contexts. The ebook might help senior-level undergraduate, graduate scholars and researchers placing specific difficulties in those fields right into a broader clinical context and thereby profiting from well-established options utilized in adjoining fields.
This moment version has been extended to incorporate massive new fabric (e.g. new sections on Dynamic Localization and on Euclidean Random Matrices and new chapters on Entanglement, Open Quantum structures, and Coherence Protection). it's in keeping with the author’s lectures on the Moscow Institute of Physics and know-how, on the CNRS goalé Cotton Laboratory, and on different classes he has given over the past decades.

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The spectral density of the vibrational states of a polyatomic molecule rapidly increases with energy (a). The laser field induces upward transitions. In the compound system of the molecule + quantized field (b) the transitions occur among the states of the same energy up to the dissociation limit (c). 6 Competition of Multiphoton Processes of Different Orders For molecules in strong laser fields one can face competition between multiphoton processes of different orders. Indeed, polyatomic molecules possess rich vibrational 28 2 Examples of Complex Systems spectra.

Highly excited atomic states that belong to the Rydberg series have a rich spectrum and also form a complex system, being perturbed by a strong laser or RF field. However, the multilevel system does not necessarily correspond to highly excited states. Polyatomic molecules, even in the vibrational ground state, possess a rather rich rotational spectrum, which can be strongly affected by an external field. Additional complexity is associated with the presence of multiphoton resonances that correspond to the simultaneous absorption of several laser quanta.

In Chap. 11 we consider open quantum systems, paying mainly attention to entanglement of such systems with their environment. We present traditional description based on the Master equation and the Liouville formalism, present an exactly soluble model and trace the dynamics of entanglement between the system and the environment with the help of this model. We conclude this chapter by discussing possible approaches to entanglement classification for mixed quantum states. In Chap. 12 we return to the complex systems with time-dependent Hamiltonians, but this time in the context of the possibility to exert complete control over such systems and protect them from the loss of coherence with the help of such a control.

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