Supersymmetric manipulation of quasienergy states: application to the geometric phase

DOI10.1088/0305-4470/36/46/L02zbMATH Open1069.81530arXivquant-ph/0304144MaRDI QIDQ4465312

Author name not available (Why is that?)

Publication date: 27 May 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: Time-dependent supersymmetry allows one to delete quasienergy levels for time-periodic Hamiltonians and to create new ones. We illustrate this by examining an exactly solvable model related to the simple harmonic oscillator with a time-varying frequency. For an interesting nonharmonic example we present the change of the Berry phase due to a supersymmetry transformation.

Full work available at URL: https://arxiv.org/abs/quant-ph/0304144

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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