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

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978-3-030-11926-3Springer Nature Switzerland AG 2019

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0081-3869 d recent experiments involving phonons, e.g. coherent phonon.This book presents quantum phononics as an exciting new field of research, and introduces readers to the quantum nature of phonons and their application to quantum technologies. Both the theory of and recent experiments in “quantum phononi

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Book 2019ion to quantum technologies. Both the theory of and recent experiments in “quantum phononics,” involving e.g. coherent phonons, phonon squeezing, coherent control, and phonon quantum technologies, are presented. The theoretical background of the generation and detection of phonons is described in a

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Harmonic Oscillator and Coherent and Squeezed States,d lowered than that of the vacuum state. Coherent and squeezed states are important in quantum optics and phononics. Time evolution of the mean value of position and variance for the harmonic oscillator is discussed.

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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: Schrödinger 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-

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Harmonic Oscillator and Coherent and Squeezed States,ilation operators. A number state, a coherent state, and a squeezed state are introduced. The number state is an eigenstate of the energy of the harmonic oscillator. The coherent state is a minimum uncertainty state. In the squeezed state, fluctuation of one of the conjugated variables is reduced an

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Lattice Vibration and Phonon,c chain. At first, we calculate dynamics of atomic motions with classical mechanics and introduce a plane wave expansion to express collective atomic motions. A phonon is introduced by using field quantization. Optical and acoustic phonons are explained by using a linear diatomic chain.