Quantum carpets and fractals for superpositions of states of photons

Alexander V. Gorokhov; A. V. Shaikin

doi:10.1117/12.518613

23 September 2003 Quantum carpets and fractals for superpositions of states of photons

Alexander V. Gorokhov, A. V. Shaikin

Proceedings Volume 5067, Saratov Fall Meeting 2002: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling III; Coherent Optics of Ordered and Random Media III; (2003) https://doi.org/10.1117/12.518613
Event: Saratov Fall Meeting 2002 Laser Physics and Photonics, Spectroscopy, and Molecular Modeling III; Coherent Optics of Ordered and Random Media III, 2002, Saratov, Russian Federation

Abstract

Examples of Berry’s and WBBZ - (D.Wojcik, I.Bialynicki-Birula and K.Zyczkowski) quantum fractal constructions are considered. The behavior of fractal dimensions of these objects is investigated in going from coordinate representation to momentum and coherent state representations. The mean value of quanta and dispersion for isolated quantum harmonic oscillator prepared in "fractal" state and interacting with another oscillator are calculated.

Citation Download Citation

Alexander V. Gorokhov and A. V. Shaikin "Quantum carpets and fractals for superpositions of states of photons", Proc. SPIE 5067, Saratov Fall Meeting 2002: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling III; Coherent Optics of Ordered and Random Media III, (23 September 2003); https://doi.org/10.1117/12.518613

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