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The quantum mechanical geometric phase of a particle in a resonant vibrating cavity

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Publication:4468620

DOI10.1088/0305-4470/36/44/010zbMATH Open1041.81635arXivquant-ph/0210182OpenAlexW3102762451MaRDI QIDQ4468620

Author name not available (Why is that?)

Publication date: 10 June 2004

Published in: (Search for Journal in Brave)

Abstract: We study the general-setting quantum geometric phase acquired by a particle in a vibrating cavity. Solving the two-level theory with the rotating-wave approximation and the SU(2) method, we obtain analytic formulae that give excellent descriptions of the geometric phase, energy, and wavefunction of the resonating system. In particular, we observe a sudden pi-jump in the geometric phase when the system is in resonance. We found similar behaviors in the geometric phase of a spin-1/2 particle in a rotating magnetic field, for which we developed a geometrical model to help visualize its evolution.


Full work available at URL: https://arxiv.org/abs/quant-ph/0210182




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