Titlebook: Quantum Phononics; Introduction to Ultr Kazutaka Nakamura Book 2019 Springer Nature Switzerland AG 2019 Coherent Optical Phonons.Coherent C

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0081-3869 dent Schr?edinger equation. In addition, the third-order nonlinear optical response of condensed matter is also described..978-3-030-11926-3978-3-030-11924-9Series ISSN 0081-3869 Series E-ISSN 1615-0430

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Time Evolution of Quantum State,used to represent a quantum state. Time evolution of the quantum state is expressed by using three ways: Schr?dinger picture, Heisenberg picture, and interaction picture. Perturbation expansion of a time-dependent ket vector is explained for the interaction picture.

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Density Operator,e density operator can represent both a pure quantum state and a mixed state. The von Neumann equation for the time evolution of the density operator is derived. The perturbative expansion of its time evolution is explained and represented with double-sided Feynman diagrams. Time evolution in a two-level system is shown as an example.

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Coherent Phonons: Quantum Theory,l. Two electronic states coupled with displaced harmonic oscillators, which represent phonons, are used. The dipole interaction between an optical pulse and the system is assumed and treated as a perturbation interaction. Time evolution of the density operator is calculated using the second-order perturbation approximation.

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