dorsal/arxiv
View SchemaIntroduction to Quantum Optics
| Authors | V. I. Man'ko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9509018 |
| URL | https://arxiv.org/abs/quant-ph/9509018 |
| DOI | 10.1063/1.50228 |
Abstract
The theory of quantum propagator and time--dependent integrals of motion in quantum optics is reviewed as well as the properties of Wigner function, Q--function, and coherent state representation. Propagators and wave functions of a free particle, harmonic oscillator, and the oscillator with varying frequency are studied using time--dependent linear in position and momentum integrals of motion. Such nonclassical states of light (of quantum systems) as squeezed states, correlated states, even and odd coherent states (Schr\"odinger cat states) are considered. Photon distribution functions of Schr\"odinger cat male and female states are given, and the photon distribution function of squeezed vacuum is derived using the theory of the oscillator with varying parameters. Properties of multivariable Hermite polynomials used for the description of the multimode squeezed and correlated light and polymode Schr\"odinger cats are studied.
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"abstract": "The theory of quantum propagator and time--dependent integrals of motion in\nquantum optics is reviewed as well as the properties of Wigner function,\nQ--function, and coherent state representation. Propagators and wave functions\nof a free particle, harmonic oscillator, and the oscillator with varying\nfrequency are studied using time--dependent linear in position and momentum\nintegrals of motion. Such nonclassical states of light (of quantum systems) as\nsqueezed states, correlated states, even and odd coherent states (Schr\\\"odinger\ncat states) are considered. Photon distribution functions of Schr\\\"odinger cat\nmale and female states are given, and the photon distribution function of\nsqueezed vacuum is derived using the theory of the oscillator with varying\nparameters. Properties of multivariable Hermite polynomials used for the\ndescription of the multimode squeezed and correlated light and polymode\nSchr\\\"odinger cats are studied.",
"arxiv_id": "quant-ph/9509018",
"authors": [
"V. I. Man\u0027ko"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.50228",
"title": "Introduction to Quantum Optics",
"url": "https://arxiv.org/abs/quant-ph/9509018"
},
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