Geometric phase decomposition in the basis of Hermite-Gaussian functions

• Authors: Rimvydas Aleksiejunas , Vladislovas Ivaska
• Languages of publication: EN

Abstracts

EN

The work presents geometric phase decomposition for analytical signals using Hermite-Gaussian functions. The decomposition is based on the time-frequency distribution with reassigned and multi-tapered spectrogram resulting in increased phase estimation resolution. Numerical analysis is applied to a number of SU(2) evolutions, such as spin-1/2 particle in a static and rotating magnetic field, as well as polarization rotation of a plane wave in optically active medium. Geometric phase decomposition results are provided also for quantum harmonic oscillator and a radiation field of an electric dipole exited by a short pulse.

Keywords

EN

geometric phase; joint time-frequency analysis; Hermite-Gaussian functions; quantumharmonic oscillator

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 1
• Pages: 66-75

Dates

published

1 - 2 - 2012

online

3 - 12 - 2011

Contributors

author

Rimvydas Aleksiejunas

• Department of Radiophysics, Vilnius University, Sauletekio al. 9, bldg. III, LT-10222, Vilnius, Lithuania

author

Vladislovas Ivaska

• Department of Radiophysics, Vilnius University, Sauletekio al. 9, bldg. III, LT-10222, Vilnius, Lithuania

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Identifiers

DOI

10.2478/s11534-011-0081-9