26 July 1993 Squeezing by frequency changes
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Proceedings Volume 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology; 198316 (1993) https://doi.org/10.1117/12.2308461
Event: 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 1993, Budapest, Hungary
Abstract
The problem of quantum harmonic oscillator with time-dependent frequency has been solved analytically only for special co(t) functions. In this paper (Sec. 1.) we give a recursive method to determine the creation and annihilation operators for any step-like 0)(0 (t) functions (i. e. functions being constant between jumps). In Sec. 2. we apply this method to jumps between two values of w. In Sec 3. we approximate more general functions with a series of small jumps, we examine the Fourier series of the function defined in Sec. 2, and show that even the first Fourier component leads to increasing squeezing.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
T. Kiss, T. Kiss, } "Squeezing by frequency changes", Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 198316 (26 July 1993); doi: 10.1117/12.2308461; https://doi.org/10.1117/12.2308461
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